Aerodynamics of Rotating Discs

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "Aerodynamics of Rotating Discs"

Transcription

1 Proceedings of ICFD 10: Tenth International Congress of FluidofDynamics Proceedings ICFD 10: December 16-19, 2010, Stella Di MareTenth Sea Club Hotel, Ain Soukhna, Egypt International Congress of Red FluidSea, Dynamics December 16-19, 2010, Ain Soukhna, Red Sea, Egypt ICFD10-EG-3901 Aerodynamics of Rotating Discs Shereef A. Sadek1 Saad A. Ragab2 Post-Doctoral Associate Professor Department of Engineering Science and Mechanics Virginia Tech, Blacksburg, VA, USA ABSTRACT Nomenclature In this paper we present a numerical study of three-dimensional flow over a rotating circular disc in a uniform flow at different Mach numm ber ratios λ,(λ = MT ip ). The Reynolds Averaged Navier-Stokes equations and a one-equation turbulence closure model for the Reynolds stresses are solved using OVERFLOW software. The flowfield around the disc is analyzed at two agles of attack α = 0, 10 for a range of λ. Comparison of surface pressure coefficient, friction velocity and wake structure are made between the rotating and non-rotating disc. For the non-rotating disc the flow field resembles that of a small aspect ratio wing with symmetric wake and trailing vortices. For the rotating disc the surface pressure coefficient, friction velocity and wake develop asymmetry due to disc rotation. Depending on the disc rotation the friction velocity develops a minima on both disc surfaces, the location of which depends on the Mach number ratio λ. Variation of drag, side force and yawing moment coefficients with tip speed ratio are presented. This flow problem proves to be a very chalanging one in terms of turbulence modelling and grid resolution. α Disc angle of attack λ Ratio of tip Mach number to free stream Mach number Ωx Streamwise vorticity ρ Flow density τ Wall shear stress a Free stream speed of sound CD Drag coefficient CDp Drag coefficient due to pressure CDv Drag coefficient due to shear stress CL Lift coefficient D Disc diameter M Free stream Mach number Mtip Rotating disc tip Mach number n+ ReD Reynolds number based on disc diameter uτ 1 Post-Doctoral 2 Professor, Distance normal to the wall normalized by wall scales Associate, Friction velocity x, y and z Cartesian coordinates 1 Copyright 2010 by ICFD 10

2 1 INTRODUCTION Flow over rotating discs has been studied by many researchers in the last few decades mainly in effort to study transition and turbulent flows. Flow over rotating discs appears in many engineering and recreational applications. Zdravkovich et al. [1], studied the aerodynamics of coin-like cylinders of varying aspect ratios in a uniform flow but with no rotation. Forces and moments were measured for different shapes of cylinder edge and the flow topolgy was examined. Potts and Cowther [2], studied the aerodynamics of Frisbee like discs that had an approximately elliptic cross-section and hollowed out underside cavity. The lift and drag coefficients have been found to be independent of Reynolds number for the range of tunnel speeds tested. The upper surface flow is characterised by separation at a line (arc) of constant radius on the leading edge rim, followed by reattachment at a line of similar geometry. Trailing vortices detach from the trailing edge rim. The cavity flow is characterised by separation at the leading edge lip, followed by straight-line reattachment. Badalamenti and Prince [3],studied the effects of endplates on a rotating cylinder in crossflow for a range of Reynolds number. They found that endplates can enhance the lift/drag ratio and increase lift up to a limiting value. In this study the effects of rotation on the flow over a finite disc will be examined in some depth. The ratio of tip Mach number to freestream Mach number, λ, will be varied as well as the angle of attack. Changes in the surface pressure distribution and wake development will also be examined. Force and moment coefficients will be presented as a function of λ. 2 MATHEMATICAL FORMULA- TION The flow solver used in this study, OVERFLOW, is a three-dimensional flow solver that uses structured overset grids. It solves the Navier-Stokes equations in generalized coordinates,1. It is capable of obtaining time-accurate as well as steady state solutions. where Q t + E ξ + F η + G ζ = 0 (1) Q is the vector of conserved variables in genralized coordinates ξ, η and ζ are the generalized coordinates G, F and G are the total flux (convective and viscous) in the direction of generalized coordinates ξ, η and ζ, respectively. 2.1 Computational Domain The computational domain consists of three grid levels. The near body grid, an intermediate grid and farfield grid. The near body grid, shown in Figure 1, is an o-grid that extends 0.4D normal to the surface. The disc is centered at the origin and the disc symmetry axis (axis of rotation) is aligned with the z-axis. The number of grid points in radial, azimuthal and normal direction is 257, 361 and 155, respectively. Constant height layers were used for the first 35 layers, above that the grid was stretched with a maximum stretching ratio of 1.1. The first grid point off the surface was estimated to be at n + = 0.5. The other two grids are Cartesian grids. The intermediate grid covered a cube of side length equal to 3D, to capture the wake details and the farfield extended about 12Din all direction from the disc center. The total number of grid points was about 14.4 million. 2.2 Flow Boundary Condition The free stream Mach number was set to M = 0.2 and the pressure and temperature were set to standard sea level values. The Reynolds number 2

3 based on free stream conditions and disc diameter, Re D = 18.5x10 6 The disc rotational tip Mach number was varied as a factor of the free stream Mach number, M tip = λm. The ratio λ took on the values, 0.0, 0.38, 0.76, 1.3, 1.51 and Freestream values were implemented using a freestream characteristic boundary condition applied to the farfield grid at the upstream and spanwise faces while a characteristic boundary condition based on Riemann invariants is applied to the downstream face. For the intermediate grid, no boundary conditions were applied since the flow variables are interpolated from neighboring grids. For the near body grid, a no slip boundary condition with specified rotational velocity around the vertical axis is specified at the disc wall. Along the vertical grid lines above and below the disc an axis of symmetry boundary conditions is also specified. 3 RESULTS AND DISCUSSION In this section the main flow features are presented. Of interest, are the fricition velocity, u τ, surface pressure coefficient, C P, and the force and moment coefficients acting on the disc. Friction Velocity Figures 2-5 show contours of friction velocity, defined in equation 2, τ u τ = (2) ρ on the disc surface at α = 0.0 for a range of λ = For the non-rotating disc the minimum friction velocity occurs at the leading and trailing edges of the disc. At the leading edge the flow is stagnant and the boundary layer is very thin. At the trailing edge there is a small separation region where the flow is recirculating at a very low speed. As the rotation speed is increased in Figure 3, λ = 0.78, the contour lines become asymmetric and the location of the minimun value moves counterclockwise along the circumference in the negative x-y plane. The maxima of u τ increases with the increase in λ but remains in the positive x-y plane along the circumference near the leading edge. This is due to the fact that the net relative flow velocity to the disc surface increases in the positive x-y plane while it is reduced in the negative x-y plane. As the rotation speed is increased above the free stream speed in Figure 4, λ = 1.51, a double minima is developed on the upper and lower disc surfaces and the location of the minima moves inward towards the center at 90 with the positive x-axis direction. This is due to the fact that the surface speed matches the flow speed at some radial distance less than the disc radius. Finally in Figure 5, λ = 1.89, a well defined minima is present on the upper an lower surfaces approximately half a radius away from the center. This is a unique feature of this flowfield. On the other hand the maximum u τ is always located on the disc s circumferance since the relative flow velocity is always positive in the positive x-y plane. Surface Pressure Figures 6 and 8 show the lower and upper surface pressure coefficient for the non-rotating disc at α = 10.0, while Figures 7 and 9 show the surface pressure coefficient for the rotating disc at α = 10.0 and λ = For the non-rotating case the disc behaves like a finite wing with low aspect ratio. Upstream of the disc center on the upper side we can see the typical leading edge suction and on the lower side we can see high pressure region. A common feature of finite wings are the tip vortices, which are present here as well. Low pressure coefficient can be seen at the disc tips at an approximate angle of 75 from the positive x-direction. These suction peaks are due to the tip vortices formation that is typical of such flowfields. For the rotating-disc, the first noticable effect due to rotation is the breaking of the flow symmetry. Upstream of the disc center, the pressure coefficient looks similar to the non-rotating case, this might be due to the fact that the boundary 3

4 layer is very thin and still developing. On the other hand, downstream of the disc center; the rotation effects are more significant. This is evident by the degree of asymmetry in the pressure coefficient contours downstream of the disc center on the upper and lower surfaces. This asymmetry is because the disc rotation affects the surface shear stress distribution along the disc surface as shown above, the surface shear stress being higher in the positive x-y half-plane than in the negative x-y half-plane. This in turn changes the boundary thickness distribution along the disc surface in an asymmetric manner. The asymmetric surface shear stress creates more adverse pressure gradient in the positive x-y half-plane and more favorable pressure gradient in the negative x-y half-plane. Hence, to the incoming inviscid flow the effective disc shape is asymmetric. Tip Vortices and Wake As mentioned above, the asymmetric surface shear stress affects the surface pressure distribution, it also affects the shape of the tip vortices and the shed wake. Figures 10a and 10b show crossflow streamlines in a plane at 70 with the x-z plane along with pressure coefficient contours for the advancing disc tip. It is clear that the vortex size is greater for the rotating disc, which also indicates that the separation at the tip occurs earlier than in the non-rotating case. Figures 11a and 11b show crossflow streamlines in a plane at 70 with the x-z plane along with pressure coefficient contours for the retreating disc tip. For the non-rotating disc the picture is similar to Figure 10a, however for the rotating disc, the vortex size is reduced and its center is further off the disc surface. Figures 12a and 12b show the disc wake development for the non-rotating and rotating disc, respectively. The figures show surface pressure coefficient contours as well as contours of the normalized streamwise vorticity, Ω x D/a at three different values of x/d. For the rotating disc the wake diffuses much faster than the non-rotating case. This suggests that the rotation has the effect of weakening the tip vortices which means that the disc loses lift. Aerodynamic Coefficients Figure 13 shows the disc drag, side force and yawing moment coefficients at α = 0.0. In general, the rotation increases the disc s drag. The side force is directed in the negative y-direction and the moment direction is opposite to the direction of rotation as expected. The increase in drag coefficient is mainly due to increase in the shear stress; this is shown in Table 1. For α = 0.0, the viscous drag increases by about 40% and by 50% for α = On the other hand, disc rotation increases the pressure drag at α = 0.0 by about 380% for the same rotation speed; but it has insignificant influence at α = In summary, the drag coefficient increases with disc rotation; however, disc rotation reduces the increase in drag with α. More data points are needed to confirm this. Finally, also shown in Table 1 is the lift coefficient. It is shown that disc rotation reduces the lift coefficient by about 4% of the non-rotating disc value. This is in agreement with the previous observation that for the rotating-disc the tip vortices are weaker than in the case of nonrotating disc. CONCLUSIONS In this paper, the flow over a circular rotating disc was analyzed by solving compressible Navier- Stokes equations using OVERFLOW. One equation Spalart-Allmaras turbulence model was used to close the system of equations. The flow was analyzed at different disc rotational speed and at two angles of attack. It was shown that, Disc rotation ulters the surface shear stress distribution which in turn changes the boundary layer thickness and structure The asymmetric surface shear stress creates asymmetric boundary layer thickness, and 4

5 hence viscous-invicid interaction leads to asymmetric surface pressure distribution Disc rotation also affects the tip vortices which leads to weakining of the shed vorticity, this in turn reduces the lift coefficient Drag coefficient increase significantly due to rotation at zero angle of attack but is reduced significantly at 10.0 angle of attack More simulations at different angles of attack and at higher values of λ are needed to have a full picture of the flowfield Figure 1: Near disc computational grid Figure 2: Friction velocity uτ, λ =

6 Figure 3: Friction velocity uτ, λ = 0.78 Table 1: Drag, side force, yawing moment and lift coefficients α λ CDp CDv CD CL Figure 4: Friction velocity uτ, λ = REFERENCES [1] M. M. Zdravkovich, A. J. Flaherty, M. G. Pahle and I. A. Skellhorne, Some aerodynamic aspects of coin-like cylinders, Journal of Fluid Mechanics, 1998, vol 360, pp [2] J. R. Potts and W. J. Crowther, The flow over a rotating disc-wing, RAeS Aerodynamics Research Conference, London, UK, Apr [3] J. R. Potts and W. J. Crowther, Frisbee Aerodynamics, 20th AIAA Applied Aerodynamics Conference, June 2002, St. Louis, Missouri. Figure 5: Friction velocity uτ, λ =

7 Figure 6: Lower surface pressure coefficient, λ = 0.0, α = 10 Figure 8: Upper surface pressure coefficient, λ = 0.0, α = 10 Figure 7: Lower surface pressure coefficient, λ = 1.89, α = 10 Figure 9: Upper surface pressure coefficient, λ = 1.89, α = 10 7

8 (a) λ = 0.00, α = 10 (a) λ = 0.00, α = 10 (b) λ = 1.89, α = 10 (b) λ = 1.89, α = 10 Figure 10: Advancing tip vortex Figure 11: Retreating tip vortex 8

9 (a) λ = 0.0 Figure 13: Drag, side force and yawing moment coefficients at α = 0.0 (b) λ = 1.89 Figure 12: Surface pressure coefficient and wake streamwise normalizied vorticity, α = 10 9

Commercial CFD Software Modelling

Commercial CFD Software Modelling Commercial CFD Software Modelling Dr. Nor Azwadi bin Che Sidik Faculty of Mechanical Engineering Universiti Teknologi Malaysia INSPIRING CREATIVE AND INNOVATIVE MINDS 1 CFD Modeling CFD modeling can be

More information

AERODYNAMICS OF WING TIP SAILS

AERODYNAMICS OF WING TIP SAILS Journal of Engineering Science and Technology Vol. 1, No. 1 (2006) 89-98 School of Engineering, Taylor s College AERODYNAMICS OF WING TIP SAILS MUSHTAK AL-ATABI School of Engineering, Taylor s College

More information

Analysis of Vortex Shedding Mechanism through PIV Measurement of Flow past a Rotating Circular Cylinder

Analysis of Vortex Shedding Mechanism through PIV Measurement of Flow past a Rotating Circular Cylinder Analysis of Vortex Shedding Mechanism through PIV Measurement of Flow past a Rotating Circular Cylinder Linh Duong *, Siao Chung Luo, Yong Tian Chew Department of Mechanical Engineering, National University

More information

Practice Problems on Boundary Layers. Answer(s): D = 107 N D = 152 N. C. Wassgren, Purdue University Page 1 of 17 Last Updated: 2010 Nov 22

Practice Problems on Boundary Layers. Answer(s): D = 107 N D = 152 N. C. Wassgren, Purdue University Page 1 of 17 Last Updated: 2010 Nov 22 BL_01 A thin flat plate 55 by 110 cm is immersed in a 6 m/s stream of SAE 10 oil at 20 C. Compute the total skin friction drag if the stream is parallel to (a) the long side and (b) the short side. D =

More information

Dimensional Analysis

Dimensional Analysis Dimensional Analysis An Important Example from Fluid Mechanics: Viscous Shear Forces V d t / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / Ƭ = F/A = μ V/d More generally, the viscous

More information

Lecture 11 Boundary Layers and Separation. Applied Computational Fluid Dynamics

Lecture 11 Boundary Layers and Separation. Applied Computational Fluid Dynamics Lecture 11 Boundary Layers and Separation Applied Computational Fluid Dynamics Instructor: André Bakker http://www.bakker.org André Bakker (2002-2006) Fluent Inc. (2002) 1 Overview Drag. The boundary-layer

More information

HOW BOARDS AND RUDDERS WORK

HOW BOARDS AND RUDDERS WORK HOW BOARDS AND RUDDERS WORK Lift theory By B. Kohler Copyright 2006 by B. Kohler K-designs HOW BOARDS & RUDDERS WORK Our boats become faster and faster and a better understanding of how a sail, rudder,

More information

Basics of vehicle aerodynamics

Basics of vehicle aerodynamics Basics of vehicle aerodynamics Prof. Tamás Lajos Budapest University of Technology and Economics Department of Fluid Mechanics University of Rome La Sapienza 2002 Influence of flow characteristics on the

More information

Differential Relations for Fluid Flow. Acceleration field of a fluid. The differential equation of mass conservation

Differential Relations for Fluid Flow. Acceleration field of a fluid. The differential equation of mass conservation Differential Relations for Fluid Flow In this approach, we apply our four basic conservation laws to an infinitesimally small control volume. The differential approach provides point by point details of

More information

Fluid Mechanics Prof. T. I. Eldho Department of Civil Engineering Indian Institute of Technology, Bombay. Lecture No. # 36 Pipe Flow Systems

Fluid Mechanics Prof. T. I. Eldho Department of Civil Engineering Indian Institute of Technology, Bombay. Lecture No. # 36 Pipe Flow Systems Fluid Mechanics Prof. T. I. Eldho Department of Civil Engineering Indian Institute of Technology, Bombay Lecture No. # 36 Pipe Flow Systems Welcome back to the video course on Fluid Mechanics. In today

More information

Abaqus/CFD Sample Problems. Abaqus 6.10

Abaqus/CFD Sample Problems. Abaqus 6.10 Abaqus/CFD Sample Problems Abaqus 6.10 Contents 1. Oscillatory Laminar Plane Poiseuille Flow 2. Flow in Shear Driven Cavities 3. Buoyancy Driven Flow in Cavities 4. Turbulent Flow in a Rectangular Channel

More information

Fluent Software Training TRN Boundary Conditions. Fluent Inc. 2/20/01

Fluent Software Training TRN Boundary Conditions. Fluent Inc. 2/20/01 Boundary Conditions C1 Overview Inlet and Outlet Boundaries Velocity Outline Profiles Turbulence Parameters Pressure Boundaries and others... Wall, Symmetry, Periodic and Axis Boundaries Internal Cell

More information

Aerodynamic Department Institute of Aviation. Adam Dziubiński CFD group FLUENT

Aerodynamic Department Institute of Aviation. Adam Dziubiński CFD group FLUENT Adam Dziubiński CFD group IoA FLUENT Content Fluent CFD software 1. Short description of main features of Fluent 2. Examples of usage in CESAR Analysis of flow around an airfoil with a flap: VZLU + ILL4xx

More information

Mercury Flow through a Long Curved Pipe

Mercury Flow through a Long Curved Pipe Mercury Flow through a Long Curved Pipe Wenhai Li & Foluso Ladeinde Department of Mechanical Engineering Stony Brook University Summary The flow of mercury in a long, curved pipe is simulated in this task,

More information

AA200 Chapter 9 - Viscous flow along a wall

AA200 Chapter 9 - Viscous flow along a wall AA200 Chapter 9 - Viscous flow along a wall 9.1 The no-slip condition 9.2 The equations of motion 9.3 Plane, Compressible Couette Flow (Review) 9.4 The viscous boundary layer on a wall 9.5 The laminar

More information

Lecture 6 - Boundary Conditions. Applied Computational Fluid Dynamics

Lecture 6 - Boundary Conditions. Applied Computational Fluid Dynamics Lecture 6 - Boundary Conditions Applied Computational Fluid Dynamics Instructor: André Bakker http://www.bakker.org André Bakker (2002-2006) Fluent Inc. (2002) 1 Outline Overview. Inlet and outlet boundaries.

More information

CFD Analysis on Airfoil at High Angles of Attack

CFD Analysis on Airfoil at High Angles of Attack CFD Analysis on Airfoil at High Angles of Attack Dr.P.PrabhakaraRao¹ & Sri Sampath.V² Department of Mechanical Engineering,Kakatiya Institute of Technology& Science Warangal-506015 1 chantifft@rediffmail.com,

More information

AUTOMOTIVE WING WITH ACTIVE CONTROL OF FLOW

AUTOMOTIVE WING WITH ACTIVE CONTROL OF FLOW U.P.B. Sci. Bull., Series D, Vol. 76, Iss. 4, 2014 ISSN 1454-2358 AUTOMOTIVE WING WITH ACTIVE CONTROL OF FLOW Angel HUMINIC 1, Gabriela HUMINIC 1 In this paper, is studied the aerodynamic behavior of an

More information

High-Lift Systems. High Lift Systems -- Introduction. Flap Geometry. Outline of this Chapter

High-Lift Systems. High Lift Systems -- Introduction. Flap Geometry. Outline of this Chapter High-Lift Systems Outline of this Chapter The chapter is divided into four sections. The introduction describes the motivation for high lift systems, and the basic concepts underlying flap and slat systems.

More information

NUMERICAL ANALYSIS OF THE EFFECTS OF WIND ON BUILDING STRUCTURES

NUMERICAL ANALYSIS OF THE EFFECTS OF WIND ON BUILDING STRUCTURES Vol. XX 2012 No. 4 28 34 J. ŠIMIČEK O. HUBOVÁ NUMERICAL ANALYSIS OF THE EFFECTS OF WIND ON BUILDING STRUCTURES Jozef ŠIMIČEK email: jozef.simicek@stuba.sk Research field: Statics and Dynamics Fluids mechanics

More information

PASSIVE CONTROL OF SHOCK WAVE APPLIED TO HELICOPTER ROTOR HIGH-SPEED IMPULSIVE NOISE REDUCTION

PASSIVE CONTROL OF SHOCK WAVE APPLIED TO HELICOPTER ROTOR HIGH-SPEED IMPULSIVE NOISE REDUCTION TASK QUARTERLY 14 No 3, 297 305 PASSIVE CONTROL OF SHOCK WAVE APPLIED TO HELICOPTER ROTOR HIGH-SPEED IMPULSIVE NOISE REDUCTION PIOTR DOERFFER AND OSKAR SZULC Institute of Fluid-Flow Machinery, Polish Academy

More information

HEAT TRANSFER ANALYSIS IN A 3D SQUARE CHANNEL LAMINAR FLOW WITH USING BAFFLES 1 Vikram Bishnoi

HEAT TRANSFER ANALYSIS IN A 3D SQUARE CHANNEL LAMINAR FLOW WITH USING BAFFLES 1 Vikram Bishnoi HEAT TRANSFER ANALYSIS IN A 3D SQUARE CHANNEL LAMINAR FLOW WITH USING BAFFLES 1 Vikram Bishnoi 2 Rajesh Dudi 1 Scholar and 2 Assistant Professor,Department of Mechanical Engineering, OITM, Hisar (Haryana)

More information

Lecture 8 - Turbulence. Applied Computational Fluid Dynamics

Lecture 8 - Turbulence. Applied Computational Fluid Dynamics Lecture 8 - Turbulence Applied Computational Fluid Dynamics Instructor: André Bakker http://www.bakker.org André Bakker (2002-2006) Fluent Inc. (2002) 1 Turbulence What is turbulence? Effect of turbulence

More information

CFD Lab Department of Engineering The University of Liverpool

CFD Lab Department of Engineering The University of Liverpool Development of a CFD Method for Aerodynamic Analysis of Large Diameter Horizontal Axis wind turbines S. Gomez-Iradi, G.N. Barakos and X. Munduate 2007 joint meeting of IEA Annex 11 and Annex 20 Risø National

More information

NACA Nomenclature NACA 2421. NACA Airfoils. Definitions: Airfoil Geometry

NACA Nomenclature NACA 2421. NACA Airfoils. Definitions: Airfoil Geometry 0.40 m 0.21 m 0.02 m NACA Airfoils 6-Feb-08 AE 315 Lesson 10: Airfoil nomenclature and properties 1 Definitions: Airfoil Geometry z Mean camber line Chord line x Chord x=0 x=c Leading edge Trailing edge

More information

CBE 6333, R. Levicky 1. Potential Flow

CBE 6333, R. Levicky 1. Potential Flow CBE 6333, R. Levicky Part I. Theoretical Background. Potential Flow Potential Flow. Potential flow is irrotational flow. Irrotational flows are often characterized by negligible viscosity effects. Viscous

More information

Introduction to Fluid Mechanics. Chapter 9 External Incompressible Viscous Flow. Pritchard

Introduction to Fluid Mechanics. Chapter 9 External Incompressible Viscous Flow. Pritchard Introduction to Fluid Mechanics Chapter 9 External Incompressible Viscous Flow Main Topics The Boundary-Layer Concept Boundary-Layer Thicknesses Laminar Flat-Plate Boundary Layer: Exact Solution Momentum

More information

Application of CFD Simulation in the Design of a Parabolic Winglet on NACA 2412

Application of CFD Simulation in the Design of a Parabolic Winglet on NACA 2412 , July 2-4, 2014, London, U.K. Application of CFD Simulation in the Design of a Parabolic Winglet on NACA 2412 Arvind Prabhakar, Ayush Ohri Abstract Winglets are angled extensions or vertical projections

More information

Using CFD to improve the design of a circulating water channel

Using CFD to improve the design of a circulating water channel 2-7 December 27 Using CFD to improve the design of a circulating water channel M.G. Pullinger and J.E. Sargison School of Engineering University of Tasmania, Hobart, TAS, 71 AUSTRALIA Abstract Computational

More information

ME19b. SOLUTIONS. Feb. 11, 2010. Due Feb. 18

ME19b. SOLUTIONS. Feb. 11, 2010. Due Feb. 18 ME19b. SOLTIONS. Feb. 11, 21. Due Feb. 18 PROBLEM B14 Consider the long thin racing boats used in competitive rowing events. Assume that the major component of resistance to motion is the skin friction

More information

AUTOMOTIVE COMPUTATIONAL FLUID DYNAMICS SIMULATION OF A CAR USING ANSYS

AUTOMOTIVE COMPUTATIONAL FLUID DYNAMICS SIMULATION OF A CAR USING ANSYS International Journal of Mechanical Engineering and Technology (IJMET) Volume 7, Issue 2, March-April 2016, pp. 91 104, Article ID: IJMET_07_02_013 Available online at http://www.iaeme.com/ijmet/issues.asp?jtype=ijmet&vtype=7&itype=2

More information

Pressure Measurements

Pressure Measurements Pressure Measurements Measurable pressures Absolute pressure Gage pressure Differential pressure Atmospheric/barometric pressure Static pressure Total Pressure Pressure Measurement Mechanical Pressure

More information

NUMERICAL STUDY OF FLOW AND TURBULENCE THROUGH SUBMERGED VEGETATION

NUMERICAL STUDY OF FLOW AND TURBULENCE THROUGH SUBMERGED VEGETATION NUMERICAL STUDY OF FLOW AND TURBULENCE THROUGH SUBMERGED VEGETATION HYUNG SUK KIM (1), MOONHYEONG PARK (2), MOHAMED NABI (3) & ICHIRO KIMURA (4) (1) Korea Institute of Civil Engineering and Building Technology,

More information

The Viscosity of Fluids

The Viscosity of Fluids Experiment #11 The Viscosity of Fluids References: 1. Your first year physics textbook. 2. D. Tabor, Gases, Liquids and Solids: and Other States of Matter (Cambridge Press, 1991). 3. J.R. Van Wazer et

More information

Flow Physics Analysis of Three-Bucket Helical Savonius Rotor at Twist Angle Using CFD

Flow Physics Analysis of Three-Bucket Helical Savonius Rotor at Twist Angle Using CFD Vol.3, Issue.2, March-April. 2013 pp-739-746 ISSN: 2249-6645 Flow Physics Analysis of Three-Bucket Helical Savonius Rotor at Twist Angle Using CFD Pinku Debnath, 1 Rajat Gupta 2 12 Mechanical Engineering,

More information

ANALYSIS OF FULLY DEVELOPED TURBULENT FLOW IN A PIPE USING COMPUTATIONAL FLUID DYNAMICS D. Bhandari 1, Dr. S. Singh 2

ANALYSIS OF FULLY DEVELOPED TURBULENT FLOW IN A PIPE USING COMPUTATIONAL FLUID DYNAMICS D. Bhandari 1, Dr. S. Singh 2 ANALYSIS OF FULLY DEVELOPED TURBULENT FLOW IN A PIPE USING COMPUTATIONAL FLUID DYNAMICS D. Bhandari 1, Dr. S. Singh 2 1 M. Tech Scholar, 2 Associate Professor Department of Mechanical Engineering, Bipin

More information

Simulation at Aeronautics Test Facilities A University Perspective Helen L. Reed, Ph.D., P.E. ASEB meeting, Irvine CA 15 October 2014 1500-1640

Simulation at Aeronautics Test Facilities A University Perspective Helen L. Reed, Ph.D., P.E. ASEB meeting, Irvine CA 15 October 2014 1500-1640 Simulation at Aeronautics Test A University Perspective Helen L. Reed, Ph.D., P.E. ASEB meeting, Irvine CA 15 October 2014 1500-1640 Questions How has the ability to do increasingly accurate modeling and

More information

Ravi Kumar Singh*, K. B. Sahu**, Thakur Debasis Mishra***

Ravi Kumar Singh*, K. B. Sahu**, Thakur Debasis Mishra*** Ravi Kumar Singh, K. B. Sahu, Thakur Debasis Mishra / International Journal of Engineering Research and Applications (IJERA) ISSN: 48-96 www.ijera.com Vol. 3, Issue 3, May-Jun 3, pp.766-77 Analysis of

More information

Viscous flow through pipes of various cross-sections

Viscous flow through pipes of various cross-sections IOP PUBLISHING Eur. J. Phys. 28 (2007 521 527 EUROPEAN JOURNAL OF PHYSICS doi:10.1088/0143-0807/28/3/014 Viscous flow through pipes of various cross-sections John Lekner School of Chemical and Physical

More information

Aerodynamic Design Optimization Discussion Group Case 4: Single- and multi-point optimization problems based on the CRM wing

Aerodynamic Design Optimization Discussion Group Case 4: Single- and multi-point optimization problems based on the CRM wing Aerodynamic Design Optimization Discussion Group Case 4: Single- and multi-point optimization problems based on the CRM wing Lana Osusky, Howard Buckley, and David W. Zingg University of Toronto Institute

More information

A. Hyll and V. Horák * Department of Mechanical Engineering, Faculty of Military Technology, University of Defence, Brno, Czech Republic

A. Hyll and V. Horák * Department of Mechanical Engineering, Faculty of Military Technology, University of Defence, Brno, Czech Republic AiMT Advances in Military Technology Vol. 8, No. 1, June 2013 Aerodynamic Characteristics of Multi-Element Iced Airfoil CFD Simulation A. Hyll and V. Horák * Department of Mechanical Engineering, Faculty

More information

A fundamental study of the flow past a circular cylinder using Abaqus/CFD

A fundamental study of the flow past a circular cylinder using Abaqus/CFD A fundamental study of the flow past a circular cylinder using Abaqus/CFD Masami Sato, and Takaya Kobayashi Mechanical Design & Analysis Corporation Abstract: The latest release of Abaqus version 6.10

More information

Lecture 4 Classification of Flows. Applied Computational Fluid Dynamics

Lecture 4 Classification of Flows. Applied Computational Fluid Dynamics Lecture 4 Classification of Flows Applied Computational Fluid Dynamics Instructor: André Bakker http://www.bakker.org André Bakker (00-006) Fluent Inc. (00) 1 Classification: fluid flow vs. granular flow

More information

Principles of glider flight

Principles of glider flight Principles of glider flight [ Lift, drag & glide performance ] Richard Lancaster R.Lancaster@carrotworks.com ASK-21 illustrations Copyright 1983 Alexander Schleicher GmbH & Co. All other content Copyright

More information

Physics of the Atmosphere I

Physics of the Atmosphere I Physics of the Atmosphere I WS 2008/09 Ulrich Platt Institut f. Umweltphysik R. 424 Ulrich.Platt@iup.uni-heidelberg.de heidelberg.de Last week The conservation of mass implies the continuity equation:

More information

Computational Aerodynamic Analysis on Store Separation from Aircraft using Pylon

Computational Aerodynamic Analysis on Store Separation from Aircraft using Pylon International Journal of Engineering Science Invention (IJESI) ISSN (Online): 2319 6734, ISSN (Print): 2319 6726 www.ijesi.org ǁ PP.27-31 Computational Aerodynamic Analysis on Store Separation from Aircraft

More information

COMPUTATIONAL FLUID DYNAMICS (CFD) ANALYSIS OF INTERMEDIATE PRESSURE STEAM TURBINE

COMPUTATIONAL FLUID DYNAMICS (CFD) ANALYSIS OF INTERMEDIATE PRESSURE STEAM TURBINE Research Paper ISSN 2278 0149 www.ijmerr.com Vol. 3, No. 4, October, 2014 2014 IJMERR. All Rights Reserved COMPUTATIONAL FLUID DYNAMICS (CFD) ANALYSIS OF INTERMEDIATE PRESSURE STEAM TURBINE Shivakumar

More information

CFD Calculations of S809 Aerodynamic Characteristics 1

CFD Calculations of S809 Aerodynamic Characteristics 1 Walter P. Wolfe Engineering Sciences Center Sandia National Laboratories Albuquerque, NM 87185-0836 Stuart S. Ochs Aerospace Engineering Department Iowa State University Ames, IA 50011 CFD Calculations

More information

Parametric study of flow around rectangular prisms using LES

Parametric study of flow around rectangular prisms using LES Journal of Wind Engineering and Industrial Aerodynamics 77&78 (1998) 653 662 Parametric study of flow around rectangular prisms using LES Dahai Yu*, Ahsan Kareem Department of Applied Mathematics and Statistics,

More information

THE CFD SIMULATION OF THE FLOW AROUND THE AIRCRAFT USING OPENFOAM AND ANSA

THE CFD SIMULATION OF THE FLOW AROUND THE AIRCRAFT USING OPENFOAM AND ANSA THE CFD SIMULATION OF THE FLOW AROUND THE AIRCRAFT USING OPENFOAM AND ANSA Adam Kosík Evektor s.r.o., Czech Republic KEYWORDS CFD simulation, mesh generation, OpenFOAM, ANSA ABSTRACT In this paper we describe

More information

Chapter 8 Steady Incompressible Flow in Pressure Conduits

Chapter 8 Steady Incompressible Flow in Pressure Conduits Chapter 8 Steady Incompressible Flow in Pressure Conduits Outline 8.1 Laminar Flow and turbulent flow Reynolds Experiment 8.2 Reynolds number 8.3 Hydraulic Radius 8.4 Friction Head Loss in Conduits of

More information

FLow pattern around cable and its aerodynamic characteristics in critical Reynolds number range

FLow pattern around cable and its aerodynamic characteristics in critical Reynolds number range The 22 World Congress on Advances in Civil, Environmental, and Materials Research (ACEM 2) Seoul, Korea, August 26-3, 22 FLow pattern around cable and its aerodynamic characteristics in critical Reynolds

More information

Basic Equations, Boundary Conditions and Dimensionless Parameters

Basic Equations, Boundary Conditions and Dimensionless Parameters Chapter 2 Basic Equations, Boundary Conditions and Dimensionless Parameters In the foregoing chapter, many basic concepts related to the present investigation and the associated literature survey were

More information

Application of Wray-Agarwal Model to Turbulent Flow in a 2D Lid-Driven Cavity and a 3D Lid- Driven Box

Application of Wray-Agarwal Model to Turbulent Flow in a 2D Lid-Driven Cavity and a 3D Lid- Driven Box Washington University in St. Louis Washington University Open Scholarship Engineering and Applied Science Theses & Dissertations Engineering and Applied Science Summer 8-14-2015 Application of Wray-Agarwal

More information

Introduction to COMSOL. The Navier-Stokes Equations

Introduction to COMSOL. The Navier-Stokes Equations Flow Between Parallel Plates Modified from the COMSOL ChE Library module rev 10/13/08 Modified by Robert P. Hesketh, Chemical Engineering, Rowan University Fall 2008 Introduction to COMSOL The following

More information

Turbulence: The manifestation of eddies and their role in conservation laws

Turbulence: The manifestation of eddies and their role in conservation laws Turbulence: The manifestation of eddies and their role in conservation laws George E. Hrabovsky MAST Presentation Given to the Chaos and Complex Systems Seminar University of Wisconsin - Madison 26 February,

More information

O.F.Wind Wind Site Assessment Simulation in complex terrain based on OpenFOAM. Darmstadt, 27.06.2012

O.F.Wind Wind Site Assessment Simulation in complex terrain based on OpenFOAM. Darmstadt, 27.06.2012 O.F.Wind Wind Site Assessment Simulation in complex terrain based on OpenFOAM Darmstadt, 27.06.2012 Michael Ehlen IB Fischer CFD+engineering GmbH Lipowskystr. 12 81373 München Tel. 089/74118743 Fax 089/74118749

More information

2. PROPELLER GEOMETRY

2. PROPELLER GEOMETRY a) Frames of Reference 2. PROPELLER GEOMETRY 10 th International Towing Tank Conference (ITTC) initiated the preparation of a dictionary and nomenclature of ship hydrodynamic terms and this work was completed

More information

1 The basic equations of fluid dynamics

1 The basic equations of fluid dynamics 1 The basic equations of fluid dynamics The main task in fluid dynamics is to find the velocity field describing the flow in a given domain. To do this, one uses the basic equations of fluid flow, which

More information

Study the Influence of a Gap between the Wing and Slotted Flap over the Aerodynamic Characteristics of Ultra-Light Aircraft Wing Airfoil

Study the Influence of a Gap between the Wing and Slotted Flap over the Aerodynamic Characteristics of Ultra-Light Aircraft Wing Airfoil Journal of Mechanics Engineering and Automation 5 (2015) 278-285 doi: 10.17265/2159-5275/2015.05.002 D DAVID PUBLISHING Study the Influence of a Gap between the Wing and Slotted Flap over the Aerodynamic

More information

Stress and Deformation Analysis. Representing Stresses on a Stress Element. Representing Stresses on a Stress Element con t

Stress and Deformation Analysis. Representing Stresses on a Stress Element. Representing Stresses on a Stress Element con t Stress and Deformation Analysis Material in this lecture was taken from chapter 3 of Representing Stresses on a Stress Element One main goals of stress analysis is to determine the point within a load-carrying

More information

Numerical Approach Aspects for the Investigation of the Longitudinal Static Stability of a Transport Aircraft with Circulation Control

Numerical Approach Aspects for the Investigation of the Longitudinal Static Stability of a Transport Aircraft with Circulation Control Numerical Approach Aspects for the Investigation of the Longitudinal Static Stability of a Transport Aircraft with Circulation Control Dennis Keller Abstract The aim of the investigation is to gain more

More information

Lift and Drag on an Airfoil ME 123: Mechanical Engineering Laboratory II: Fluids

Lift and Drag on an Airfoil ME 123: Mechanical Engineering Laboratory II: Fluids Lift and Drag on an Airfoil ME 123: Mechanical Engineering Laboratory II: Fluids Dr. J. M. Meyers Dr. D. G. Fletcher Dr. Y. Dubief 1. Introduction In this lab the characteristics of airfoil lift, drag,

More information

Computational Analysis of the Effect of Bogie Inclination Angle on Landing Gear Noise

Computational Analysis of the Effect of Bogie Inclination Angle on Landing Gear Noise 16th AIAA/CEAS Aeroacoustics Conference AIAA 2010-3971 Computational Analysis of the Effect of Bogie Inclination Angle on Landing Gear Noise K.J. van Mierlo, K. Takeda and E. Peers University of Southampton,

More information

ENHANCEMENT OF AERODYNAMIC PERFORMANCE OF A FORMULA-1 RACE CAR USING ADD-ON DEVICES B. N. Devaiah 1, S. Umesh 2

ENHANCEMENT OF AERODYNAMIC PERFORMANCE OF A FORMULA-1 RACE CAR USING ADD-ON DEVICES B. N. Devaiah 1, S. Umesh 2 ENHANCEMENT OF AERODYNAMIC PERFORMANCE OF A FORMULA-1 RACE CAR USING ADD-ON DEVICES B. N. Devaiah 1, S. Umesh 2 1- M. Sc. [Engg.] Student, 2- Asst. Professor Automotive and Aeronautical Engineering Department,

More information

CFD Simulation of the NREL Phase VI Rotor

CFD Simulation of the NREL Phase VI Rotor CFD Simulation of the NREL Phase VI Rotor Y. Song* and J. B. Perot # *Theoretical & Computational Fluid Dynamics Laboratory, Department of Mechanical & Industrial Engineering, University of Massachusetts

More information

THE EVOLUTION OF TURBOMACHINERY DESIGN (METHODS) Parsons 1895

THE EVOLUTION OF TURBOMACHINERY DESIGN (METHODS) Parsons 1895 THE EVOLUTION OF TURBOMACHINERY DESIGN (METHODS) Parsons 1895 Rolls-Royce 2008 Parsons 1895 100KW Steam turbine Pitch/chord a bit too low. Tip thinning on suction side. Trailing edge FAR too thick. Surface

More information

CFD simulation of Vortex-Induced Vibration with change in cylinder array Tae-Jin Kang 1) and Warn-Gyu Park 1)*

CFD simulation of Vortex-Induced Vibration with change in cylinder array Tae-Jin Kang 1) and Warn-Gyu Park 1)* CFD simulation of Vortex-Induced Vibration with change in cylinder array Tae-Jin Kang 1) and Warn-Gyu Park 1)* 1) School of Mechanical Engineering, Pusan National University, Busan 609-735, Korea ABSTRACT

More information

Turbulence and Fluent

Turbulence and Fluent Turbulence and Fluent Turbulence Modeling What is Turbulence? We do not really know 3D, unsteady, irregular motion in which transported quantities fluctuate in time and space. Turbulent eddies (spatial

More information

Practice Problems on Bernoulli s Equation. V car. Answer(s): p p p V. C. Wassgren, Purdue University Page 1 of 17 Last Updated: 2010 Sep 15

Practice Problems on Bernoulli s Equation. V car. Answer(s): p p p V. C. Wassgren, Purdue University Page 1 of 17 Last Updated: 2010 Sep 15 bernoulli_0 A person holds their hand out of a car window while driving through still air at a speed of V car. What is the maximum pressure on the person s hand? V car 0 max car p p p V C. Wassgren, Purdue

More information

If we let the vertical tail lift coefficient depend on a vertical tail lift curve slope and a rudder deflection we can write it as:

If we let the vertical tail lift coefficient depend on a vertical tail lift curve slope and a rudder deflection we can write it as: Roll and Yaw Moments and Stability Yaw Moment Equation The yaw moment is the moment about the z body axis and is positive if it moves the nose of the plane to the right. The big contributor to the yaw

More information

Solution Derivations for Capa #11

Solution Derivations for Capa #11 Solution Derivations for Capa #11 1) A horizontal circular platform (M = 128.1 kg, r = 3.11 m) rotates about a frictionless vertical axle. A student (m = 68.3 kg) walks slowly from the rim of the platform

More information

Fluids in Motion Supplement I

Fluids in Motion Supplement I Fluids in Motion Supplement I Cutnell & Johnson describe a number of different types of flow: Compressible vs incompressible (most liquids are very close to incompressible) Steady vs Unsteady Viscous or

More information

Basic Principles in Microfluidics

Basic Principles in Microfluidics Basic Principles in Microfluidics 1 Newton s Second Law for Fluidics Newton s 2 nd Law (F= ma) : Time rate of change of momentum of a system equal to net force acting on system!f = dp dt Sum of forces

More information

COMPUTATIONAL ANALYSIS OF CENTRIFUGAL COMPRESSOR WITH GROOVES ON CASING

COMPUTATIONAL ANALYSIS OF CENTRIFUGAL COMPRESSOR WITH GROOVES ON CASING INTERNATIONAL JOURNAL OF MECHANICAL ENGINEERING AND TECHNOLOGY (IJMET) International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 6340(Print), ISSN ISSN 0976 6340 (Print) ISSN 0976

More information

UNIVERSITY of LIMERICK OLLSCOIL LUIMNIGH

UNIVERSITY of LIMERICK OLLSCOIL LUIMNIGH UNIVERSITY of LIMERICK OLLSCOIL LUIMNIGH College of Informatics and Electronics END OF SEMESTER ASSESSMENT PAPER MODULE CODE: MA4607 SEMESTER: Autumn 2004-05 MODULE TITLE: Fluid mechanics DURATION OF EXAMINATION:

More information

Fundamental Study of Aerodynamic Drag Reduction for Vehicle with Feedback Flow Control

Fundamental Study of Aerodynamic Drag Reduction for Vehicle with Feedback Flow Control 584 Fundamental Study of Aerodynamic Drag Reduction for Vehicle with Feedback Flow Control Keisuke NISUGI, Toshiyuki HAYASE and Atsushi SHIRAI The present paper deals with a fundamental study of aerodynamic

More information

QUT Digital Repository: http://eprints.qut.edu.au/

QUT Digital Repository: http://eprints.qut.edu.au/ QUT Digital Repository: http://eprints.qut.edu.au/ El-Atm, Billy and Kelson, Neil A. and Gudimetla, Prasad V. (2008) A finite element analysis of the hydrodynamic performance of 3- and 4-Fin surfboard

More information

Fundamentals of Fluid Mechanics

Fundamentals of Fluid Mechanics Sixth Edition. Fundamentals of Fluid Mechanics International Student Version BRUCE R. MUNSON DONALD F. YOUNG Department of Aerospace Engineering and Engineering Mechanics THEODORE H. OKIISHI Department

More information

ME6130 An introduction to CFD 1-1

ME6130 An introduction to CFD 1-1 ME6130 An introduction to CFD 1-1 What is CFD? Computational fluid dynamics (CFD) is the science of predicting fluid flow, heat and mass transfer, chemical reactions, and related phenomena by solving numerically

More information

1.7 Cylindrical and Spherical Coordinates

1.7 Cylindrical and Spherical Coordinates 56 CHAPTER 1. VECTORS AND THE GEOMETRY OF SPACE 1.7 Cylindrical and Spherical Coordinates 1.7.1 Review: Polar Coordinates The polar coordinate system is a two-dimensional coordinate system in which the

More information

Copyright 2011 Casa Software Ltd. www.casaxps.com. Centre of Mass

Copyright 2011 Casa Software Ltd. www.casaxps.com. Centre of Mass Centre of Mass A central theme in mathematical modelling is that of reducing complex problems to simpler, and hopefully, equivalent problems for which mathematical analysis is possible. The concept of

More information

Computational Modeling of Wind Turbines in OpenFOAM

Computational Modeling of Wind Turbines in OpenFOAM Computational Modeling of Wind Turbines in OpenFOAM Hamid Rahimi hamid.rahimi@uni-oldenburg.de ForWind - Center for Wind Energy Research Institute of Physics, University of Oldenburg, Germany Outline Computational

More information

Along-wind self-excited forces of two-dimensional cables under extreme wind speeds

Along-wind self-excited forces of two-dimensional cables under extreme wind speeds The Seventh International Colloquium on Bluff Body Aerodynamics and Applications (BBAA7) Shanghai, China; September 2-6, 2012 Along-wind self-excited forces of two-dimensional cables under extreme wind

More information

NUMERICAL AND EXPERIMENTAL ANALYSIS OF THE WIND FORCES ACTING ON LNG CARRIER

NUMERICAL AND EXPERIMENTAL ANALYSIS OF THE WIND FORCES ACTING ON LNG CARRIER V European Conference on Computational Fluid Dynamics ECCOMAS CFD 1 J. C. F. Pereira and A. Sequeira (Eds) Lisbon, Portugal, 14 17 June 1 NUMERICAL AND EXPERIMENTAL ANALYSIS OF THE WIND FORCES ACTING ON

More information

Express Introductory Training in ANSYS Fluent Lecture 1 Introduction to the CFD Methodology

Express Introductory Training in ANSYS Fluent Lecture 1 Introduction to the CFD Methodology Express Introductory Training in ANSYS Fluent Lecture 1 Introduction to the CFD Methodology Dimitrios Sofialidis Technical Manager, SimTec Ltd. Mechanical Engineer, PhD PRACE Autumn School 2013 - Industry

More information

CFD Analysis of Civil Transport Aircraft

CFD Analysis of Civil Transport Aircraft IJSRD - International Journal for Scientific Research & Development Vol. 3, Issue 06, 2015 ISSN (online): 2321-0613 CFD Analysis of Civil Transport Aircraft Parthsarthi A Kulkarni 1 Dr. Pravin V Honguntikar

More information

Modeling Rotor Wakes with a Hybrid OVERFLOW-Vortex Method on a GPU Cluster

Modeling Rotor Wakes with a Hybrid OVERFLOW-Vortex Method on a GPU Cluster Modeling Rotor Wakes with a Hybrid OVERFLOW-Vortex Method on a GPU Cluster Mark J. Stock, Ph.D., Adrin Gharakhani, Sc.D. Applied Scientific Research, Santa Ana, CA Christopher P. Stone, Ph.D. Computational

More information

3 Numerical Methods for Convection

3 Numerical Methods for Convection 3 Numerical Methods for Convection The topic of computational fluid dynamics (CFD) could easily occupy an entire semester indeed, we have such courses in our catalog. The objective here is to eamine some

More information

Theory of turbo machinery / Turbomaskinernas teori. Chapter 3

Theory of turbo machinery / Turbomaskinernas teori. Chapter 3 Theory of turbo machinery / Turbomaskinernas teori Chapter 3 D cascades Let us first understand the facts and then we may seek the causes. (Aristotle) D cascades High hub-tip ratio (of radii) negligible

More information

CE 6303 MECHANICS OF FLUIDS L T P C QUESTION BANK PART - A

CE 6303 MECHANICS OF FLUIDS L T P C QUESTION BANK PART - A CE 6303 MECHANICS OF FLUIDS L T P C QUESTION BANK 3 0 0 3 UNIT I FLUID PROPERTIES AND FLUID STATICS PART - A 1. Define fluid and fluid mechanics. 2. Define real and ideal fluids. 3. Define mass density

More information

NUMERICAL ANALYSIS OF WELLS TURBINE FOR WAVE POWER CONVERSION

NUMERICAL ANALYSIS OF WELLS TURBINE FOR WAVE POWER CONVERSION Engineering Review Vol. 32, Issue 3, 141-146, 2012. 141 NUMERICAL ANALYSIS OF WELLS TURBINE FOR WAVE POWER CONVERSION Z. 1* L. 1 V. 2 M. 1 1 Department of Fluid Mechanics and Computational Engineering,

More information

Comparison between OpenFOAM CFD & BEM theory for variable speed variable pitch HAWT

Comparison between OpenFOAM CFD & BEM theory for variable speed variable pitch HAWT ITM Web of Conferences 2, 05001 (2014) DOI: 10.1051/itmconf/20140205001 C Owned by the authors, published by EDP Sciences, 2014 Comparison between OpenFOAM CFD & BEM theory for variable speed variable

More information

Laminar Flow and Heat Transfer of Herschel-Bulkley Fluids in a Rectangular Duct; Finite-Element Analysis

Laminar Flow and Heat Transfer of Herschel-Bulkley Fluids in a Rectangular Duct; Finite-Element Analysis Tamkang Journal of Science and Engineering, Vol. 12, No. 1, pp. 99 107 (2009) 99 Laminar Flow and Heat Transfer of Herschel-Bulkley Fluids in a Rectangular Duct; Finite-Element Analysis M. E. Sayed-Ahmed

More information

Compressor and turbines

Compressor and turbines Compressor and turbines In this chapter, we will look at the compressor and the turbine. They are both turbomachinery: machines that transfer energy from a rotor to a fluid, or the other way around. The

More information

Flow Loss in Screens: A Fresh Look at Old Correlation. Ramakumar Venkata Naga Bommisetty, Dhanvantri Shankarananda Joshi and Vighneswara Rao Kollati

Flow Loss in Screens: A Fresh Look at Old Correlation. Ramakumar Venkata Naga Bommisetty, Dhanvantri Shankarananda Joshi and Vighneswara Rao Kollati Journal of Mechanics Engineering and Automation 3 (013) 9-34 D DAVID PUBLISHING Ramakumar Venkata Naga Bommisetty, Dhanvantri Shankarananda Joshi and Vighneswara Rao Kollati Engineering Aerospace, MCOE,

More information

Chapter 10. Flow Rate. Flow Rate. Flow Measurements. The velocity of the flow is described at any

Chapter 10. Flow Rate. Flow Rate. Flow Measurements. The velocity of the flow is described at any Chapter 10 Flow Measurements Material from Theory and Design for Mechanical Measurements; Figliola, Third Edition Flow Rate Flow rate can be expressed in terms of volume flow rate (volume/time) or mass

More information

ANALYTICAL VELOCITY PROFILE IN TUBE FOR LAMINAR AND TURBULENT FLOW

ANALYTICAL VELOCITY PROFILE IN TUBE FOR LAMINAR AND TURBULENT FLOW Engineering MECHANICS, Vol. 21, 2014, No. 6, p. 371 379 371 ANALYTICAL VELOCITY PROFILE IN TUBE FOR LAMINAR AND TURBULENT FLOW Jaroslav Štigler* A new analytical formula of the velocity profile for both

More information

Circulation Bjerknes Circulation Theorem Vorticity Potential Vorticity Conservation of Potential Vorticity. ESS227 Prof. Jin-Yi Yu

Circulation Bjerknes Circulation Theorem Vorticity Potential Vorticity Conservation of Potential Vorticity. ESS227 Prof. Jin-Yi Yu Lecture 4: Circulation and Vorticity Circulation Bjerknes Circulation Theorem Vorticity Potential Vorticity Conservation of Potential Vorticity Measurement of Rotation Circulation and vorticity are the

More information

The Viscosity of Fluids

The Viscosity of Fluids Experiment #11 The Viscosity of Fluids References: 1. Your first year physics textbook. 2. D. Tabor, Gases, Liquids and Solids: and Other States of Matter (Cambridge Press, 1991). 3. J.R. Van Wazer et

More information