The Use Of CFD To Simulate Capillary Rise And Comparison To Experimental Data


 Gordon Turner
 2 years ago
 Views:
Transcription
1 The Use Of CFD To Simulate Capillary Rise And Comparison To Experimental Data Hong Xu, Chokri Guetari ANSYS INC. Abstract In a microgravity environment liquid can be pumped and positioned by cohesion and adhesion forces. On earth this effect is covered by the hydrostatic pressure, so it can only be observed in very fine tubes (socalled capillaries). The final liquid height depends on the balance of the capillary force and the weight of the liquid that has been lifted up. This paper reports on the CFD simulations performed to simulate the capillary rise of a liquid in a 0. mm diameter tube. This model is validated against published experimental data for water arising height vs. time. Good agreement between the CFX results and experimental data has been observed. Introduction Capillary rise is what we see when we put a small glass tube down into a pool of water and the water rises in the tube. The phenomenon is caused by a combination of adsorption and capillarity. First the water is absorbed onto to the surface of the glass. This forces the airwater surface to become curved. Because the tube is round, the curvature inside the tube is nearly spherical. Since radius curvature is in the air, the pressure on the waterside of the curved interface is less than the air pressure. So to maintain the same total head throughout the water, the water must rise in the tube to reach hydrostatic conditions. This is part of what causes water to rise in the tube above the water table. Many natural processes and human activities largely rely on the phenomenon of capillary, i.e. the ability of liquids to penetrate into fine pores and cracks with wettable walls and be displaced from those with nonwettable walls. It is the capillarity that brings water to the upper layer of soils, drives sap in plants, and is the basis for operation of pens. Knowledge of capillary laws is important in fuel cells research, oil recovery, civil engineering, dyeing of textile fabrics, ink printing and a variety of other fields. The issue of liquid transport in capillary systems dates back a long time. Basic understanding of the laws of capillarity was gained almost a century ago. The early work by Hagen and Poiseuille, Lucas and Washburn laid much of the theoretical foundation for describing capillary flow phenomena. Unfortunately, as often happens with classical equations, the underlying assumptions this equation rests on are not always kept in mind in its applications. Also, the spreading of the fluid into a structured microchannel cannot be described sufficiently in an analytical way due to the complexity of the structure and the resultant shape of the fluid/fluid interface between the two fluids. So it is necessary to use simulation methods, which calculates the fluid/fluid interface with finite volume methods (FVM) or finite difference methods (FDM). Fluid rises in capillary tubes to a height, which is inversely proportional to the inner diameter of the tube. In the present investigation, we will use CFX software to simulate the fluid height changing with time in a long, small pipe. Also, since the flow behavior in this structure could be described analytically, we will compare the simulation results with the analytical solutions and experimental data. Procedure Fundamental equation of Dynamics Figure 1 shows a schematic of a typical capillary example with relevant dimensions. For this case, the Newton dynamics equation can be written for clean, viscous, incompressible fluids in a long cylindrical capillary as follows (1) :
2 '' ' 8 ' ρ[ zz + ( z ) ] = γ cosθ ηzz ρgz [1] r r where ρ is the density, η is the viscosity, γ is the surface tension coefficient, θ is the wetting angle of the liquid, z is the height of capillary rise, r is the capillary radius, and g is the acceleration of gravity. It is important to point out that equation [1] assumes a Poiseuille flow profile in the capillary. Usually this is not the case especially near the liquidgas interface, where the profile is necessarily different from parabolic to achieve the convex or concave shape, which is dictated by the wall wetting properties. Figure 1(a) Figure 1. Figure 1(b) (a): Schematic of a typical capillary case with relevant dimensions (b): Mesh used for numerical solution As the liquid rises in the capillary, the velocity increases. For certain conditions, the flow will become turbulent. In this regime, the drag is a nonlinear function of velocity. It was observed that the predictions of equation [1] were inaccurate. Therefore, an additional term can be added to improve the predictive capability of equation [1]. The modified form is shown in equation []. where '' ' 8 ' Φ ρ [ zz + ( z ) ] = γ cosθ ηzz ρgz [] r r r
3 0 Φ = q z ( z ' ) ( z ' < v ) c r ( z ' > v ) c r v c r is the critical velocity at which turbulence becomes important, and q is a coefficient that can be determined by matching experimental data. LucasWashburn Equation The LucasWashburn equation assumes quasisteady state. This is valid when the capillary force is balanced by viscous and gravity forces. In this case, equation [1] can be reduced to (1) : dz dt γ r cosθ r ρ g 4η z 8η = [3] The longtime predictions of the above equation are in good agreement with experimental data. This is due to the fact that at long times the height of the capillary has started to stabilize and the quasisteady state assumption becomes more appropriate. Numerical Methods Computational fluid dynamics (CFD) relies on solving the full NavierStokes equations, [4] & [5], using numerical techniques (3). The governing equations for this model were solved using a commercial CFD code CFX from ANSYS. ( r t ( r ρ ) + ( r ρu ) = S MS [4] t ρu ) + ( r ( ρu U ) = r P + ( r µ ( U + ( U ) T )) + S M + M where is denoted for different phase, r is the volume fraction for phase, S MS is for user specified mass sources. S M is for momentum sources due to external body forces and user defined momentum sources, M is for the interfacial forces acting on phase due to the presence of other phases. Analysis CFX supports a wide range of multiphase applications through the EulerianLagrangian and the Eulerian Eulerian models. These models have been implemented and tested rigorously against available data. The EulerianEulerian approach requires the solution of individual transport equations for each phase. The interaction between phases is accounted for by including interphase transport terms for momentum, energy and mass. In this case, the homogeneous EulerianEulerian model is used to simulate the capillary flow. Both the liquid and gas phases are treated as continuous. The homogeneous multiphase model implies that a common velocity field is shared by all fluids. However, the interface between fluids is tracked by solving separate volume fraction equations. For a given transport process, the homogeneous model assumes that the transported quantities (with the exception of volume fraction) for that process are the same for all phases. i.e. [5]
4 Φ = Φ 1 N p By summing the individual transport equations over all phases, a single transport equation can be obtained for Φ: ( ρφ ) + ( ρuφ Γ φ) = S [6] t where: Np Np Np 1 ρ = r ρ, U = r ρ U, Γ = r Γ [7] ρ = 1 = 1 = 1 In particular, the momentum transport equations can be reduced to equation [5], when in addition to [7] the viscosity is formulated as: Np µ = r [8] µ = 1 The surface tension forces, which are dominant in capillary flows, can be included by using the Continuum Surface Force model of Brackbill et al (). The surface tension force is included as an extra body force in the momentum equation. F s = σκ r [9] Where σ is the surface tension coefficient, r is the volume fraction, and κ is the surface curvature. Analysis Results & Discussion In this study, the experimental setup of B.V.Zhmud et al (1) was modeled numerically. Figure shows the dimensions and the initial conditions of the liquid and the gas. Both fluids were assumed to be initially stagnant. Based on the symmetry in the geometry, an axisymmetric twodimensional wedge was used. The resulting mesh was on the order of 58,000 cells.
5 Figure. Dimensions as well as the initial conditions used for the CFD analysis The fluids were assumed to be incompressible and isothermal and to have constant fluid properties. A laminar, transient simulations for a total of 1.5 seconds was performed. Small time steps were required to achieve good agreement with experimental data. Figure 3 shows liquid height vs. time predicted by CFX and how the results compare to experimental data as well as the LucasWashburn equation [3].
6 Liquid Height (m) CFX Results 0.00 Experimental LucasWashburn Time (s) Figure 3. Comparison of CFX results to experimental data and the LucasWashburn equation Details of the velocity field as well as the shape of the free surface between the liquid and the gas are shown in Figures 4 & 5. The vector plot highlights that the flow behavior is complicated at the interface due to surface tension forces. Figure 4. Vector plot showing the velocity profile at the liquidgas interface.
7 Figure 5. Result at t=0.15 s. Conclusion CFX was used to simulate the flow in a capillary tube. Comparison of the results obtained using CFX to experimental and analytical solutions showed good agreement. The CFD results are in better agreement with experimental data than the LucasWashburn equation. References 1. Zhmud, B. V, Tiberg, F., Hallstensson, K., Dynamics of Capillary Rise, Journal of Colloid and Interface Science, 8, pp (000).
8 . Brackbill, Kothe, Zemach, A Continuum Method for Modeling Surface Tension, J. Comp. Phys. 100, p 335 (119). 3. CFX Solver Manual.
I SOIL WATER POTENTIAL
I SOIL WATER POTENTIAL 1.1. Introduction Soil water content is not sufficient to specify the entire status of water in soil. For example, if soils with a same water content but with different particle
More informationFluid Mechanics: Static s Kinematics Dynamics Fluid
Fluid Mechanics: Fluid mechanics may be defined as that branch of engineering science that deals with the behavior of fluid under the condition of rest and motion Fluid mechanics may be divided into three
More informationDifferential 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 informationSet up and solve a transient problem using the pressurebased solver and VOF model.
Tutorial 18. Using the VOF Model This tutorial was run using ANSYS FLUENT 12.1. The results have been updated to reflect the change in the default setting of nodebased smoothing for the surface tension
More informationBasic 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 informationModel of a flow in intersecting microchannels. Denis Semyonov
Model of a flow in intersecting microchannels Denis Semyonov LUT 2012 Content Objectives Motivation Model implementation Simulation Results Conclusion Objectives A flow and a reaction model is required
More informationPlasma Arc Welding Simulation with OpenFOAM
HÖGSKOLAN VÄST Plasma Arc Welding Simulation with OpenFOAM MARGARITA SASSTISOVSKAYA Supervisor : Isabelle Choquet, Cosupervisor : Håkan Nilsson* Examiner : Lars Davidson* Dept. of Engineering Science
More informationBoundary Conditions in Fluid Mechanics
Boundary Conditions in Fluid Mechanics R. Shankar Subramanian Department of Chemical and Biomolecular Engineering Clarkson University The governing equations for the velocity and pressure fields are partial
More informationChapter 5. Microfluidic Dynamics
Chapter 5 Thermofluid Engineering and Microsystems Microfluidic Dynamics NavierStokes equation 1. The momentum equation 2. Interpretation of the NSequation 3. Characteristics of flows in microfluidics
More informationEDEXCEL NATIONAL CERTIFICATE/DIPLOMA. PRINCIPLES AND APPLICATIONS of FLUID MECHANICS UNIT 13 NQF LEVEL 3
EDEXCEL NATIONAL CERTIFICATE/DIPLOMA PRINCIPLES AND APPLICATIONS of FLUID MECHANICS UNIT 13 NQF LEVEL 3 OUTCOME 1  PHYSICAL PROPERTIES AND CHARACTERISTIC BEHAVIOUR OF FLUIDS TUTORIAL 1  SURFACE TENSION
More informationSimple CFD Simulations and Visualisation using OpenFOAM and ParaView. Sachiko Arvelius, PhD
Simple CFD Simulations and Visualisation using OpenFOAM and ParaView Sachiko Arvelius, PhD Purpose of this presentation To show my competence in CFD (Computational Fluid Dynamics) simulation and visualisation
More informationME6130 An introduction to CFD 11
ME6130 An introduction to CFD 11 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 information1.4 Review. 1.5 Thermodynamic Properties. CEE 3310 Thermodynamic Properties, Aug. 26,
CEE 3310 Thermodynamic Properties, Aug. 26, 2011 11 1.4 Review A fluid is a substance that can not support a shear stress. Liquids differ from gasses in that liquids that do not completely fill a container
More informationContents. Microfluidics  Jens Ducrée Physics: NavierStokes Equation 1
Contents 1. Introduction 2. Fluids 3. Physics of Microfluidic Systems 4. Microfabrication Technologies 5. Flow Control 6. Micropumps 7. Sensors 8. InkJet Technology 9. Liquid Handling 10.Microarrays 11.Microreactors
More informationA Comparison of Analytical and Finite Element Solutions for Laminar Flow Conditions Near Gaussian Constrictions
A Comparison of Analytical and Finite Element Solutions for Laminar Flow Conditions Near Gaussian Constrictions by Laura Noelle Race An Engineering Project Submitted to the Graduate Faculty of Rensselaer
More informationExperiment: Viscosity Measurement B
Experiment: Viscosity Measurement B The Falling Ball Viscometer Purpose The purpose of this experiment is to measure the viscosity of an unknown polydimethylsiloxiane (PDMS) solution with a falling ball
More informationFluid 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 informationChapter (1) Fluids and their Properties
Chapter (1) Fluids and their Properties Fluids (Liquids or gases) which a substance deforms continuously, or flows, when subjected to shearing forces. If a fluid is at rest, there are no shearing forces
More informationFluids 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 informationUse of OpenFoam in a CFD analysis of a finger type slug catcher. Dynaflow Conference 2011 January 13 2011, Rotterdam, the Netherlands
Use of OpenFoam in a CFD analysis of a finger type slug catcher Dynaflow Conference 2011 January 13 2011, Rotterdam, the Netherlands Agenda Project background Analytical analysis of twophase flow regimes
More informationCommercial 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 informationENSC 283 Introduction and Properties of Fluids
ENSC 283 Introduction and Properties of Fluids Spring 2009 Prepared by: M. Bahrami Mechatronics System Engineering, School of Engineering and Sciences, SFU 1 Pressure Pressure is the (compression) force
More informationPage It varies from being high at the inlet to low at the outlet. 2. It varies from being low at the inlet to high at the outlet
A water is pulled through a very narrow, straight tube by a pump. The inlet and outlet of the tube are at the same height. What do we know about the pressure of the water in the tube? 1. It varies from
More informationTyphoon Haiyan 1. Force of wind blowing against vertical structure. 2. Destructive Pressure exerted on Buildings
Typhoon Haiyan 1. Force of wind blowing against vertical structure 2. Destructive Pressure exerted on Buildings 3. Atmospheric Pressure variation driving the Typhoon s winds 4. Energy of Typhoon 5. Height
More informationDefinition of interface Liquidgas and liquidliquid interfaces (surface tension, spreading, adsorption and orientation at interfaces)
Definition of interface Liquidgas and liquidliquid interfaces (surface tension, spreading, adsorption and orientation at interfaces) Definition of interface How can we define the interface? How we can
More informationCivil Engineering Hydraulics Mechanics of Fluids. Flow in Pipes
Civil Engineering Hydraulics Mechanics of Fluids Flow in Pipes 2 Now we will move from the purely theoretical discussion of nondimensional parameters to a topic with a bit more that you can see and feel
More informationTRANSIENT PHENOMENA OF DYNAMIC CONTACT ANGLE IN MICRO CAPILLARY FLOW
TRANSIENT PHENOMENA OF DYNAMIC CONTACT ANGLE IN MICRO CAPILLARY FLOW J. SUNG 1,c, Y.B. KIM 2, M.H. LEE 1 1 Department of Mechanical & Automotive Engineering, Seoul National University of Science and Technology,
More informationChapter 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 informationWhen the fluid velocity is zero, called the hydrostatic condition, the pressure variation is due only to the weight of the fluid.
Fluid Statics When the fluid velocity is zero, called the hydrostatic condition, the pressure variation is due only to the weight of the fluid. Consider a small wedge of fluid at rest of size Δx, Δz, Δs
More informationCFD Simulation of Subcooled Flow Boiling using OpenFOAM
Research Article International Journal of Current Engineering and Technology EISSN 2277 4106, PISSN 23475161 2014 INPRESSCO, All Rights Reserved Available at http://inpressco.com/category/ijcet CFD
More informationTHE 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 informationParticle Trajectories in a Laminar Static Mixer
Particle Trajectories in a Laminar Static Mixer Introduction In static mixers, also called motionless or inline mixers, a fluid is pumped through a pipe containing stationary blades. This mixing technique
More informationTutorial 1. Flow over a Cylinder Two Dimensional Case. Using ANSYS Workbench. Simple Mesh
Tutorial 1. Flow over a Cylinder Two Dimensional Case Using ANSYS Workbench Simple Mesh The primary objective of this Tutorial is to guide the student using Fluent for first time through the very basics
More informationViscous Flow in Pipes
Viscous Flow in Pipes Excerpted from supplemental materials of Prof. KuangAn Chang, Dept. of Civil Engin., Texas A&M Univ., for his spring 2008 course CVEN 311, Fluid Dynamics. (See a related handout
More informationHWR 431 / 531 HYDROGEOLOGY LAB SECTION LABORATORY 2 DARCY S LAW
HWR 431 / 531 HYDROGEOLOGY LAB SECTION LABORATORY 2 DARCY S LAW Introduction In 1856, Henry Darcy, a French hydraulic engineer, published a report in which he described a series of experiments he had performed
More informationNUMERICAL INVESTIGATIONS ON HEAT TRANSFER IN FALLING FILMS AROUND TURBULENCE WIRES
NUMERICAL INVESTIGATIONS ON HEAT TRANSFER IN FALLING FILMS AROUND TURBULENCE WIRES Abstract H. Raach and S. Somasundaram Thermal Process Engineering, University of Paderborn, Paderborn, Germany Turbulence
More informationPhysics 123 Fluid Mechanics Review
Physics 123 Fluid Mechanics Review I. Definitions & Facts Density Specific gravity (= D material / D water ) Pressure Atmosphere, bar, Pascal Streamline, laminar flow Gauge pressure Turbulence Density
More informationChapter 1. Governing Equations of Fluid Flow and Heat Transfer
Chapter 1 Governing Equations of Fluid Flow and Heat Transfer Following fundamental laws can be used to derive governing differential equations that are solved in a Computational Fluid Dynamics (CFD) study
More informationTWODIMENSIONAL FINITE ELEMENT ANALYSIS OF FORCED CONVECTION FLOW AND HEAT TRANSFER IN A LAMINAR CHANNEL FLOW
TWODIMENSIONAL FINITE ELEMENT ANALYSIS OF FORCED CONVECTION FLOW AND HEAT TRANSFER IN A LAMINAR CHANNEL FLOW Rajesh Khatri 1, 1 M.Tech Scholar, Department of Mechanical Engineering, S.A.T.I., vidisha
More informationLaminar flow in a baffled stirred mixer (COMSOL)
AALTO UNIVERSITY School of Chemical Technology CHEME7160 Fluid Flow in Process Units Laminar flow in a baffled stirred mixer (COMSOL) Sanna Hyvönen, 355551 Nelli Jämsä, 223188 Abstract In this simulation
More informationAir Resistance: Distinguishing Between Laminar and Turbulent Flow 0.1 Introduction
Air Resistance: Distinguishing Between Laminar and Turbulent Flow 0.1 Introduction You have probably heard that objects fall (really, accelerate) at the same rate, independent of their mass. Galileo demonstrated
More informationLAB #2: Forces in Fluids
Princeton University Physics 103/105 Lab Physics Department LAB #2: Forces in Fluids Please do NOT attempt to wash the graduated cylinders once they have oil in them. Don t pour the oil in the graduated
More informationCustomer Training Material. Lecture 2. Introduction to. Methodology ANSYS FLUENT. ANSYS, Inc. Proprietary 2010 ANSYS, Inc. All rights reserved.
Lecture 2 Introduction to CFD Methodology Introduction to ANSYS FLUENT L21 What is CFD? Computational Fluid Dynamics (CFD) is the science of predicting fluid flow, heat and mass transfer, chemical reactions,
More informationCHAPTER 7: CAPILLARY PRESSURE
CHAPTER 7: CAPILLARY PRESSURE Objective To measure capillary pressure of unconsolidated sand packs. Introduction Capillary pressure is important in reservoir engineering because it is a major factor controlling
More informationChapter 4 Rotating Coordinate Systems and the Equations of Motion
Chapter 4 Rotating Coordinate Systems and the Equations of Motion 1. Rates of change of vectors We have derived the Navier Stokes equations in an inertial (non accelerating frame of reference) for which
More informationTransient 3D Model for Lifting, Transporting, and Depositing Solid Material
Transient 3D Model for ifting, Transporting, and Depositing Solid Material J. M. Brethour Flow Science, Inc., 683 arkle Road, Santa Fe, New Mexico, USA 87505 Introduction Sediment scour and deposition
More informationVISCOSITY. Aslı AYKAÇ, PhD. NEU Faculty of Medicine Department of Biophysics
VISCOSITY Aslı AYKAÇ, PhD. NEU Faculty of Medicine Department of Biophysics DEFINITION A fluid s ability to flow is called viscosity. Viscosity arises from the mutual COHESIVE FORCES between molecules
More informationHeattransferina tankintank combi store
Søren Knudsen Heattransferina tankintank combi store DANMARKS TEKNISKE UNIVERSITET Rapport BYG DTU R025 2002 ISSN 16012917 ISBN 8778770831 1 Contents Contents...1 Preface...2 Summary...3 1. Introduction...4
More informationTurbulence Modeling in CFD Simulation of Intake Manifold for a 4 Cylinder Engine
HEFAT2012 9 th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics 16 18 July 2012 Malta Turbulence Modeling in CFD Simulation of Intake Manifold for a 4 Cylinder Engine Dr MK
More informationLecture 24  Surface tension, viscous flow, thermodynamics
Lecture 24  Surface tension, viscous flow, thermodynamics Surface tension, surface energy The atoms at the surface of a solid or liquid are not happy. Their bonding is less ideal than the bonding of atoms
More informationPHYSICS 121 Experiment 9
PHYSICS 121 Experiment 9 Fluid Flow The purpose of this lab is to study viscous fluid flow.the resistance to flow of single capillaries, 2 capillaries in a series and 2 capillaries in a parallel configurations
More informationExergy Analysis of a Water Heat Storage Tank
Exergy Analysis of a Water Heat Storage Tank F. Dammel *1, J. Winterling 1, K.J. Langeheinecke 3, and P. Stephan 1,2 1 Institute of Technical Thermodynamics, Technische Universität Darmstadt, 2 Center
More informationDynamic Process Modeling. Process Dynamics and Control
Dynamic Process Modeling Process Dynamics and Control 1 Description of process dynamics Classes of models What do we need for control? Modeling for control Mechanical Systems Modeling Electrical circuits
More informationCh 2 Properties of Fluids  II. Ideal Fluids. Real Fluids. Viscosity (1) Viscosity (3) Viscosity (2)
Ch 2 Properties of Fluids  II Ideal Fluids 1 Prepared for CEE 3500 CEE Fluid Mechanics by Gilberto E. Urroz, August 2005 2 Ideal fluid: a fluid with no friction Also referred to as an inviscid (zero viscosity)
More informationThe NavierStokes Equation and 1D Pipe Flow
The NavierStokes Equation and 1D Pipe Flow Ville Vuorinen,D.Sc.(Tech.) 1 1 Department of Energy Technology, Internal Combustion Engine Research Group Department of Energy Technology Shock Waves in Experimental
More informationMASTER OF SCIENCE IN MECHANICAL ENGINEERING
MASTER OF SCIENCE IN MECHANICAL ENGINEERING Introduction There are over 22 schools in Mindanao that offer Bachelor of Science in Mechanical Engineering and majority of their faculty members do not have
More informationFLUID MECHANICS IM0235 DIFFERENTIAL EQUATIONS  CB0235 2014_1
COURSE CODE INTENSITY PREREQUISITE COREQUISITE CREDITS ACTUALIZATION DATE FLUID MECHANICS IM0235 3 LECTURE HOURS PER WEEK 48 HOURS CLASSROOM ON 16 WEEKS, 32 HOURS LABORATORY, 112 HOURS OF INDEPENDENT
More informationExpress 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 informationTestcase number 17: Dambreak flows on dry and wet surfaces (PN, PA, PE) 1 Practical significance and interest of the testcase
Testcase number 17: Dambreak flows on dry and wet surfaces (PN, PA, PE) March 2003 téphane Vincent, TREFLE  UMR CNR 8508, ENCPB Université Bordeau 1, 33607 Pessac cede, France Phone: +33 (0)5 40 00
More information1 Theoretical Background of PELTON Turbine
c [m/s] linear velocity of water jet u [m/s) runner speed at PCD P jet [W] power in the jet de kin P T [W] power of turbine F [N] force F = dj Q [m 3 /s] discharge, volume flow ρ [kg/m 3 ] density of water
More information1. Definition of cavitation 2. Cavitation inception 3. Forms of cavitation  sheet cavitation  bubble cavitation  vortex cavitation Plan of the lect
J. A. Szantyr Lecture No. 22: Cavitation Physical basics Hydrodynamic consequences 1. Definition of cavitation 2. Cavitation inception 3. Forms of cavitation  sheet cavitation  bubble cavitation  vortex
More informationF mg (10.1 kg)(9.80 m/s ) m
Week 9 homework IMPORTANT NOTE ABOUT WEBASSIGN: In the WebAssign versions of these problems, various details have been changed, so that the answers will come out differently. The method to find the solution
More informationDimensional analysis is a method for reducing the number and complexity of experimental variables that affect a given physical phenomena.
Dimensional Analysis and Similarity Dimensional analysis is very useful for planning, presentation, and interpretation of experimental data. As discussed previously, most practical fluid mechanics problems
More informationNUMERICAL 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 informationWave Structures on A Jet Entering the Bulk Liquid. He Yijun; Li Youxi: Zhu Zijia; Lin Liang; Corkill Ashley Christine
Wave Structures on A Jet Entering the Bulk Liquid He Yijun; Li Youxi: Zhu Zijia; Lin Liang; Corkill Ashley Christine Introduction The formation of capillary waves on fluid pipes Our goal is to describe
More informationViscous flow in pipe
Viscous flow in pipe Henryk Kudela Contents 1 Laminar or turbulent flow 1 2 Balance of Momentum  NavierStokes Equation 2 3 Laminar flow in pipe 2 3.1 Friction factor for laminar flow...........................
More informationMultiphase Flow  Appendices
Discovery Laboratory Multiphase Flow  Appendices 1. Creating a Mesh 1.1. What is a geometry? The geometry used in a CFD simulation defines the problem domain and boundaries; it is the area (2D) or volume
More informationTaylor Columns. Martha W. Buckley c May 24, 2004
Taylor Columns Martha W. Buckley c May 24, 2004 Abstract. In this experiment we explore the effects of rotation on the dynamics of fluids. Using a rapidly rotating tank we demonstrate that an attempt to
More informationA. 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 MultiElement Iced Airfoil CFD Simulation A. Hyll and V. Horák * Department of Mechanical Engineering, Faculty
More informationCFD Based ThermoHydrodynamic Analysis of Circular Journal Bearing
International Journal of Advanced Mechanical Engineering. ISSN 22503234 Volume 4, Number 5 (2014), pp. 475482 Research India Publications http://www.ripublication.com CFD Based ThermoHydrodynamic Analysis
More informationFundamentals 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 informationAP2 Fluids. Kinetic Energy (A) stays the same stays the same (B) increases increases (C) stays the same increases (D) increases stays the same
A cart full of water travels horizontally on a frictionless track with initial velocity v. As shown in the diagram, in the back wall of the cart there is a small opening near the bottom of the wall that
More informationCH205: Fluid Dynamics
CH05: Fluid Dynamics nd Year, B.Tech. & Integrated Dual Degree (Chemical Engineering) Solutions of Mid Semester Examination Data Given: Density of water, ρ = 1000 kg/m 3, gravitational acceleration, g
More informationHydrodynamic Loads on TwoDimensional Sheets of Netting within the Range of Small Angels of Attack
Hydrodynamic Loads on TwoDimensional Sheets of Netting within the Range of Small Angels of Attack by Mathias Paschen & Karsten Breddermann 10 th International Workshop Methods for the Development and
More informationEffects of mass transfer processes in designing a heterogeneous catalytic reactor
Project Report 2013 MVK160 Heat and Mass Transport May 13, 2013, Lund, Sweden Effects of mass transfer processes in designing a heterogeneous catalytic reactor Maryneth de Roxas Dept. of Energy Sciences,
More informationDensity and porosity. Asst. Prof. Dr. Sirirat T. Rattanachan. 30/07/52 Density and porosity/s.t.rattanachan
Density and porosity Asst. Prof. Dr. Sirirat T. Rattanachan 1 Density and porosity Density: terms Bulk density True density Theoretical density Apparent density Porosity: terms Total porosity Open porosity
More informationIntroduction to COMSOL. The NavierStokes 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 informationExperiment 3 Pipe Friction
EML 316L Experiment 3 Pipe Friction Laboratory Manual Mechanical and Materials Engineering Department College of Engineering FLORIDA INTERNATIONAL UNIVERSITY Nomenclature Symbol Description Unit A crosssectional
More informationSteven Burian Civil & Environmental Engineering March 27, 2015
Fundamentals of Engineering (FE) Exam Mechanics Steven Burian Civil & Environmental Engineering March 27, 2015 s and FE Morning ( Mechanics) A. Flow measurement 7% of FE Morning B. properties Session C.
More informationFluid Mechanics Definitions
Definitions 91a1 Fluids Substances in either the liquid or gas phase Cannot support shear Density Mass per unit volume Specific Volume Specific Weight % " = lim g#m ( ' * = +g #V $0& #V ) Specific Gravity
More informationSwissmetro travels at high speeds through a tunnel at low pressure. It will therefore undergo friction that can be due to:
I. OBJECTIVE OF THE EXPERIMENT. Swissmetro travels at high speeds through a tunnel at low pressure. It will therefore undergo friction that can be due to: 1) Viscosity of gas (cf. "Viscosity of gas" experiment)
More informationPhysics 53. Wave Motion 1
Physics 53 Wave Motion 1 It's just a job. Grass grows, waves pound the sand, I beat people up. Muhammad Ali Overview To transport energy, momentum or angular momentum from one place to another, one can
More informationLecture 16  Free Surface Flows. Applied Computational Fluid Dynamics
Lecture 16  Free Surface Flows Applied Computational Fluid Dynamics Instructor: André Bakker http://www.bakker.org André Bakker (20022006) Fluent Inc. (2002) 1 Example: spinning bowl Example: flow in
More informationSimulation Studies on Porous Medium Integrated Dual Purpose Solar Collector
Simulation Studies on Porous Medium Integrated Dual Purpose Solar Collector Arun Venu*, Arun P** *KITCO Limited **Department of Mechanical Engineering, National Institute of Technology Calicut arunvenu5213@gmail.com,
More informationCFD Application on Food Industry; Energy Saving on the Bread Oven
MiddleEast Journal of Scientific Research 13 (8): 10951100, 2013 ISSN 19909233 IDOSI Publications, 2013 DOI: 10.5829/idosi.mejsr.2013.13.8.548 CFD Application on Food Industry; Energy Saving on the
More informationME 305 Fluid Mechanics I. Part 4 Integral Formulation of Fluid Flow
ME 305 Fluid Mechanics I Part 4 Integral Formulation of Fluid Flow These presentations are prepared by Dr. Cüneyt Sert Mechanical Engineering Department Middle East Technical University Ankara, Turkey
More informationChapter 2 Mathematical Models of Flow in Porous Media
Chapter 2 Mathematical Models of Flow in Porous Media In this chapter a general model for the twophase fluid flow in porous media is presented, together with its simplified form, known as the Richards
More informationAdaptation of General Purpose CFD Code for Fusion MHD Applications*
Adaptation of General Purpose CFD Code for Fusion MHD Applications* Andrei Khodak Princeton Plasma Physics Laboratory P.O. Box 451 Princeton, NJ, 08540 USA akhodak@pppl.gov Abstract Analysis of many fusion
More informationCFD SIMULATION OF SDHW STORAGE TANK WITH AND WITHOUT HEATER
International Journal of Advancements in Research & Technology, Volume 1, Issue2, July2012 1 CFD SIMULATION OF SDHW STORAGE TANK WITH AND WITHOUT HEATER ABSTRACT (1) Mr. Mainak Bhaumik M.E. (Thermal Engg.)
More informationHEAVY OIL FLOW MEASUREMENT CHALLENGES
HEAVY OIL FLOW MEASUREMENT CHALLENGES 1 INTRODUCTION The vast majority of the world s remaining oil reserves are categorised as heavy / unconventional oils (high viscosity). Due to diminishing conventional
More informationCFD Study of the Heat Pipes with Water Nanoparticles Mixture
CFD Study of the Heat Pipes with Water Nanoparticles Mixture Gabriela HUMINIC 1, Angel HUMINIC 1 1 Department of Thermodynamics and Fluid Mechanics Transilvania University of Brasov, Romania Abstract:
More informationLecture 3: Simple Flows
Lecture 3: Simple Flows E. J. Hinch In this lecture, we will study some simple flow phenomena for the nonnewtonian fluid. From analyzing these simple phenomena, we will find that nonnewtonian fluid has
More informationXI / PHYSICS FLUIDS IN MOTION 11/PA
Viscosity It is the property of a liquid due to which it flows in the form of layers and each layer opposes the motion of its adjacent layer. Cause of viscosity Consider two neighboring liquid layers A
More informationCFD Simulation of Foam Spread in Rotational Symmetry
Bror Persson and Ludovic Romanov *) CFD Simulation of Foam Spread in Rotational Symmetry SP AR :3 Fire Technology Borås *) Ecole Nationale Supérieure en Informatique Automatique Mécanique Energétique et
More informationApplied Fluid Mechanics
Applied Fluid Mechanics 1. The Nature of Fluid and the Study of Fluid Mechanics 2. Viscosity of Fluid 3. Pressure Measurement 4. Forces Due to Static Fluid 5. Buoyancy and Stability 6. Flow of Fluid and
More informationTransient Mass Transfer
Lecture T1 Transient Mass Transfer Up to now, we have considered either processes applied to closed systems or processes involving steadystate flows. In this lecture we turn our attention to transient
More informationSound Absorption and Sound Absorbers
Sound Absorption and Sound Absorbers Slides to accompany lectures in ME 610: Engineering 00 by A. F. Seybert Department of Mechanical Engineering Lexington, KY 405060108 Tel: 859576336 x 80645 Fax:
More informationAUTOMOTIVE COMPUTATIONAL FLUID DYNAMICS SIMULATION OF A CAR USING ANSYS
International Journal of Mechanical Engineering and Technology (IJMET) Volume 7, Issue 2, MarchApril 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 informationCBE 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 informationThese slides contain some notes, thoughts about what to study, and some practice problems. The answers to the problems are given in the last slide.
Fluid Mechanics FE Review Carrie (CJ) McClelland, P.E. cmcclell@mines.edu Fluid Mechanics FE Review These slides contain some notes, thoughts about what to study, and some practice problems. The answers
More information