Introduction to Fluid Mechanics


 Joseph Hood
 1 years ago
 Views:
Transcription
1 Chapte Solved Examples Example 1.1 Dimensions and Units A body weighs 1 Ibf when exposed to a standad eath gavity g = ft/s. (a) What is its mass in kg? (b) What will the weight of this body be in N if it is exposed to the moon s standad acceleation g moon = 1.6 m/s? (c) How fast will the body acceleate if a net foce of 4 lbf is applied to it on the moon o on the eath? F = weight and a = g eath : F=W=mg=1 lbf = (m slugs) (3.174 ft/s ) o m = 1/3.174 = (31.8 slugs)( kg/slug) = kg Ans. (a) The change fom 31.8 slugs to kg illustates the pope use of the convesion facto kg/slug. The mass of the body emains kg egadless of its location. F = W moon = m.g moon = (453.6 kg)(1.6 m/s ) = 735 N Ans. (b) This poblem does not involve weight o gavity o position and is simply a diect application of Newton s law with an unbalanced foce: F = 4 lbf = m.a = (31.8 slugs)(a ft/s ) o a =4/31.8 = 1.43 ft/s = 3.79 m/s Ans. (c) This acceleation would be the same on the moon o eath o anywhee. Example 1. Dimensions and Units An ealy viscosity unit in the cgs system is the poise (abbeviated P), o g/(cm.s), named afte J. L. M. Poiseuille, a Fench physician. The viscosity of wate (fesh o salt) at K = C is appoximately μ =.1 P. Expess this value in (a) SI and (b) BG units.
2 Chapte 1 μ = [.1 g/(cm. s)] (1 kg/1 g ) (1cm/m) =.1 kg/(m.s) Ans. (a) μ = [.1 kg/(m. s)] (1 slug/14.59 kg ) (.348 m/ft) = slug/(ft.s) Ans. (b) Note: Result (b) could have been found diectly fom (a) by dividing (a) by the viscosity convesion facto listed in Table (1.). Example 1.3 Popeties of a Fluid Suppose that the fluid being sheaed in Figue (1.5) is SAE 3 oil at C. Compute the shea stess in the oil if u = 3 m/s and h = cm. The shea stess is found fom Eq. (1.13) by diffeentiating Eq. (1.14): du u (E1.1) d y h Fom Table (1.5) fo SAE 3 oil, μ =.9 kg/(m. s). Then, fo the given values of u and h, Eq. (E1.1) pedicts.9kg/( m. s) (3m / s) 43kg/( m. s ) 43N / m 43Pa Ans..m Although oil is vey viscous, this is a modest shea stess, about 4 times less than atmospheic pessue. Viscous stesses in gases and thin liquids ae even smalle. Example 1.4 (14 final Exam) Popeties of a Fluid The velocity pofile is a lamina flow though a ound pipe is expessed as, u U1 whee U = aveage velocity, (a) Daw dimensionless shea stess pofile = adius of pipe. against whee
3 Chapte 1 is wall shea stess. (b) Find, when oil flows with absolute viscosity 4 1 N.s/m and velocity of 4 m/s in a pipe of diamete 15 mm. Given u U1 du 4U du 4 U Then and d d And du d 4 U.. (E1.) So, and theplotis shownin Figue (E4.1) Ans. (a) Fom Eq. (E1.), N m Ans. (b) Fig. E1.4: dimensionless shea stess pofile Example 1.5 Popeties of a Fluid against. Deive an expession fo the change in height h in a cicula tube of a liquid with suface tension σ and contact angle θ, as in Figue (E1.5). The vetical component of the ing sufacetension foce at the inteface in the tube must balance the weight of the column of fluid of height h R cos R gh
4 Chapte 1 3 Solving fo h, we have the desied esult cos h Ans. gr Fig. E1.5 Thus the capillay height inceases invesely with tube adius R and is positive if θ < 9 (wetting liquid) and negative (capillay depession) if θ > 9. Suppose that R = 1 mm. Then the capillay ise fo a wateaiglass inteface, θ, σ =.73 N/m, and ρ = 1 kg/m 3 is (.73 N / m)(cos ) h.15( N. s ) / kg.15m 1. 5cm 3 (1 kg/ m )(9.81m / s )(.1m) Fo a mecuyaiglass inteface, with θ = 13,, σ =.48 N/m, and ρ = 1136, the capillay ise is h = .46 cm When a smalldiamete tube is used to make pessue measuements, these capillay effects must be coected fo.
5 ϕ18cm ϕ15cm Chapte 1 4 Example 1.6 Popeties of a Fluid A cylinde 7.5 cm adius and 6 cm in length otate coaxially inside a fixed cylinde of the same length and 9 cm inne adius as shown in Figue (E1.6). Glycein μ = 8 Poise fills the space between to cylindes. A Toque.4 N.m is applied to the inne cylinde. Afte a constant velocity is attended, calculate the following: (a) velocity gadient at the cylinde walls, (b) the velocity ustling and (c) the powe dissipated by the fluid esistance. 6cm Fig. E1.6 The shea stess is found fom Eq. (1.13) du (E1.3) d y L L Toque F A.... (E1.4) whee L is the cylinde length then fom Eq. (E1.4).4( N. m) du d y ( m)
6 Chapte 1 5 du dy 8( Poise) 1 du d y innewall (7.51 ).1375 N / m..... (E1.5) 3.6 Ans.(a) du d y outewall (91 ) Ans.(a) Fom Eq. (E1.4) and whee dy =d du du.1375 d y d.1375 du d (E1.6) by integating Eq. (E1.6): u.75 1 du.1375 d.9 Whee u() = at =.9 m Then u 9.48 m / s Ans.(b).9 N Whee u 6 N N Powe Toque. 1HP (N: evolution pe minute) N 37.5pm Ans.(c)
7 Chapte Poblems 1. Deive the SI unit of foce fom base units.. Explain dynamic viscosity and kinematic viscosity. Give thei dimensions. 3. Explain the phenomenon of capillaity. Obtain an expession fo capillay ise of a fluid. 4. Expess the viscosity and the kinematics' viscosity in SI units. 5. Fo lowspeed (lamina) steady flow though a cicula pipe, the velocity u vaies with adius and takes the fom p u B whee μ is the fluid viscosity and Δp is the pessue dop fom entance to exit. What ae the dimensions of the constant B? 6. The density of wate at 4 C and 1 atm is 1 kg/m 3. Obtain the specific volume. 7. The specific weight of a cetain liquid is 1 KN/m 3. Detemine its density and specific gavity. 8. A liquid when poued into a gaduated cylinde is found to weigh 8 N when occupying a volume of 5 ml (millilites). Detemine its specific weight, density, and specific gavity. 9. Obtain the pessue in SI (Pa) necessay fo shinking the volume of wate by 1% at nomal tempeatue and pessue. Assume the compessibility of wate β= Pa A block of weight W slides down an inclined plane while lubicated by a thin film of oil, as in Figue (1.P1). The film contact aea is A and its thickness is h. Assuming a linea velocity distibution in the film, deive an expession fo the teminal (zeoacceleation) velocity V of the block.
8 Chapte Deive an expession fo the capillay height change h fo a fluid of suface tension σ and contact angle θ between two vetical paallel plates a distance W apat, as in Figue (P1.11). What will h be fo wate at C if W =.5 mm? Fig. 1.P1. Fig. 1.P Find suface tension of a soap bubble of 48 mm diamete while pessue inside is 3.1 Pa highe than atmospheic one. 13. A Newtonian fluid having a specific gavity of.9 and a kinematics viscosity of m /s flows past a fixed suface. Due to the noslip condition, the velocity at the fixed suface is zeo (as shown), and the velocity pofile nea the suface is shown in Figue (1.P13). Detemine the magnitude and diection of the sheaing stess developed on the plate. Expess you answe in tems of U and δ, with U and δ expessed in units of metes pe second and metes, espectively. Fig. 1.P13.
9 Chapte As shown in Figue (1.P14), a cylinde of diamete 1mm and length mm is placed inside a concentic long pipe of diamete 15 mm. An oil film is intoduced in the gap between the pipe and the cylinde. What foce is necessay to move the cylinde at a velocity of l m/s? Assume that the kinematic viscosity of oil is 3 cst and the specific gavity is.9. Fig. 1.P14
Vector Calculus: Are you ready? Vectors in 2D and 3D Space: Review
Vecto Calculus: Ae you eady? Vectos in D and 3D Space: Review Pupose: Make cetain that you can define, and use in context, vecto tems, concepts and fomulas listed below: Section 7.7. find the vecto defined
More informationPHYSICS 111 HOMEWORK SOLUTION #13. May 1, 2013
PHYSICS 111 HOMEWORK SOLUTION #13 May 1, 2013 0.1 In intoductoy physics laboatoies, a typical Cavendish balance fo measuing the gavitational constant G uses lead sphees with masses of 2.10 kg and 21.0
More informationVISCOSITY OF BIODIESEL FUELS
VISCOSITY OF BIODIESEL FUELS One of the key assumptions fo ideal gases is that the motion of a given paticle is independent of any othe paticles in the system. With this assumption in place, one can use
More informationDeflection of Electrons by Electric and Magnetic Fields
Physics 233 Expeiment 42 Deflection of Electons by Electic and Magnetic Fields Refeences Loain, P. and D.R. Coson, Electomagnetism, Pinciples and Applications, 2nd ed., W.H. Feeman, 199. Intoduction An
More informationMultiple choice questions [70 points]
Multiple choice questions [70 points] Answe all of the following questions. Read each question caefull. Fill the coect bubble on ou scanton sheet. Each question has exactl one coect answe. All questions
More informationwww.sakshieducation.com
Viscosity. The popety of viscosity in gas is due to ) Cohesive foces between the moecues ) Coisions between the moecues ) Not having a definite voume ) Not having a definite size. When tempeatue is inceased
More informationPhys 2101 Gabriela González. cos. sin. sin
1 Phys 101 Gabiela González a m t t ma ma m m T α φ ω φ sin cos α τ α φ τ sin m m α τ I We know all of that aleady!! 3 The figue shows the massive shield doo at a neuton test facility at Lawence Livemoe
More informationChapter 4: Fluid Kinematics
Oveview Fluid kinematics deals with the motion of fluids without consideing the foces and moments which ceate the motion. Items discussed in this Chapte. Mateial deivative and its elationship to Lagangian
More informationVoltage ( = Electric Potential )
V1 of 9 Voltage ( = lectic Potential ) An electic chage altes the space aound it. Thoughout the space aound evey chage is a vecto thing called the electic field. Also filling the space aound evey chage
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 informationFluids and Solids: Fundamentals
Fluids and Solids: Fundamentals We normally recognize three states of matter: solid; liquid and gas. However, liquid and gas are both fluids: in contrast to solids they lack the ability to resist deformation.
More information4a 4ab b 4 2 4 2 5 5 16 40 25. 5.6 10 6 (count number of places from first nonzero digit to
. Simplify: 0 4 ( 8) 0 64 ( 8) 0 ( 8) = (Ode of opeations fom left to ight: Paenthesis, Exponents, Multiplication, Division, Addition Subtaction). Simplify: (a 4) + (a ) (a+) = a 4 + a 0 a = a 7. Evaluate
More informationCHAPTER 5 GRAVITATIONAL FIELD AND POTENTIAL
CHATER 5 GRAVITATIONAL FIELD AND OTENTIAL 5. Intoduction. This chapte deals with the calculation of gavitational fields and potentials in the vicinity of vaious shapes and sizes of massive bodies. The
More informationStructure and evolution of circumstellar disks during the early phase of accretion from a parent cloud
Cente fo Tubulence Reseach Annual Reseach Biefs 2001 209 Stuctue and evolution of cicumstella disks duing the ealy phase of accetion fom a paent cloud By Olusola C. Idowu 1. Motivation and Backgound The
More informationChapter 2. Electrostatics
Chapte. Electostatics.. The Electostatic Field To calculate the foce exeted by some electic chages,,, 3,... (the souce chages) on anothe chage Q (the test chage) we can use the pinciple of supeposition.
More informationProperties of Fluids
CHAPTER Properties of Fluids 1 1.1 INTRODUCTION A fluid can be defined as a substance which deforms or yields continuously when shear stress is applied to it, no matter how small it is. Fluids can be subdivided
More informationThe Role of Gravity in Orbital Motion
! The Role of Gavity in Obital Motion Pat of: Inquiy Science with Datmouth Developed by: Chistophe Caoll, Depatment of Physics & Astonomy, Datmouth College Adapted fom: How Gavity Affects Obits (Ohio State
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 information2. TRIGONOMETRIC FUNCTIONS OF GENERAL ANGLES
. TRIGONOMETRIC FUNCTIONS OF GENERAL ANGLES In ode to etend the definitions of the si tigonometic functions to geneal angles, we shall make use of the following ideas: In a Catesian coodinate sstem, an
More informationLesson 7 Gauss s Law and Electric Fields
Lesson 7 Gauss s Law and Electic Fields Lawence B. Rees 7. You may make a single copy of this document fo pesonal use without witten pemission. 7. Intoduction While it is impotant to gain a solid conceptual
More informationHomework 9. Problems: 12.31, 12.32, 14.4, 14.21
Homework 9 Problems: 1.31, 1.3, 14.4, 14.1 Problem 1.31 Assume that if the shear stress exceeds about 4 10 N/m steel ruptures. Determine the shearing force necessary (a) to shear a steel bolt 1.00 cm in
More informationUNIT CIRCLE TRIGONOMETRY
UNIT CIRCLE TRIGONOMETRY The Unit Cicle is the cicle centeed at the oigin with adius unit (hence, the unit cicle. The equation of this cicle is + =. A diagam of the unit cicle is shown below: + =   
More informationForces & Magnetic Dipoles. r r τ = μ B r
Foces & Magnetic Dipoles x θ F θ F. = AI τ = U = Fist electic moto invented by Faaday, 1821 Wie with cuent flow (in cup of Hg) otates aound a a magnet Faaday s moto Wie with cuent otates aound a Pemanent
More information1D STEADY STATE HEAT
D SEADY SAE HEA CONDUCION () Pabal alukda Aociate Pofeo Depatment of Mecanical Engineeing II Deli Email: pabal@mec.iitd.ac.in Palukda/MecIID emal Contact eitance empeatue ditibution and eat flow line
More informationChapter 2 Modelling of Fluid Flow and Heat Transfer in RotatingDisk Systems
Chapte 2 Modelling of Fluid Flow and Heat Tansfe in RotatingDisk Systems 2.1 Diffeential and Integal Equations 2.1.1 Diffeential Navie Stokes and Enegy Equations We will conside hee stationay axisymmetic
More informationCBE 6333, R. Levicky 1 Review of Fluid Mechanics Terminology
CBE 6333, R. Levicky 1 Review of Fluid Mechanics Terminology The Continuum Hypothesis: We will regard macroscopic behavior of fluids as if the fluids are perfectly continuous in structure. In reality,
More information2. Orbital dynamics and tides
2. Obital dynamics and tides 2.1 The twobody poblem This efes to the mutual gavitational inteaction of two bodies. An exact mathematical solution is possible and staightfowad. In the case that one body
More informationModule 2: Dynamics of Electric and Hybrid vehicles
NPTEL Electical Engineeing Intoduction to Hybid and Electic Vehicles Module : Dynamics of Electic and Hybid vehicles Lectue 3: Motion and amic equations fo vehicles Motion and amic equations fo vehicles
More informationAnalytical Proof of Newton's Force Laws
Analytical Poof of Newton s Foce Laws Page 1 1 Intouction Analytical Poof of Newton's Foce Laws Many stuents intuitively assume that Newton's inetial an gavitational foce laws, F = ma an Mm F = G, ae tue
More informationSkills Needed for Success in Calculus 1
Skills Needed fo Success in Calculus Thee is much appehension fom students taking Calculus. It seems that fo man people, "Calculus" is snonmous with "difficult." Howeve, an teache of Calculus will tell
More informationCE 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 informationInstituto Superior Técnico Av. Rovisco Pais, 1 1049001 Lisboa Email: virginia.infante@ist.utl.pt
FATIGUE LIFE TIME PREDICTIO OF POAF EPSILO TB30 AIRCRAFT  PART I: IMPLEMETATIO OF DIFERET CYCLE COUTIG METHODS TO PREDICT THE ACCUMULATED DAMAGE B. A. S. Seano 1, V. I. M.. Infante 2, B. S. D. Maado
More informationNatural Convection. Buoyancy force
Natural Convection In natural convection, the fluid motion occurs by natural means such as buoyancy. Since the fluid velocity associated with natural convection is relatively low, the heat transfer coefficient
More informationSELFINDUCTANCE AND INDUCTORS
MISN0144 SELFINDUCTANCE AND INDUCTORS SELFINDUCTANCE AND INDUCTORS by Pete Signell Michigan State Univesity 1. Intoduction.............................................. 1 A 2. SelfInductance L.........................................
More informationPUMPS STEAM TURBINES BUILDING & FIRE WASTEWATER SERVICE PUMP CLINIC 22 VISCOSITY
PUMP CLINIC 22 VISCOSITY The viscosity of a fluid is that property which tends to resist a shearing force. It can be thought of as the internal friction resulting when one layer of fluid is made to move
More information10. Collisions. Before During After
10. Collisions Use conseation of momentum and enegy and the cente of mass to undestand collisions between two objects. Duing a collision, two o moe objects exet a foce on one anothe fo a shot time: F(t)
More informationINVESTIGATION OF FLOW INSIDE AN AXIALFLOW PUMP OF GV IMP TYPE
1 INVESTIGATION OF FLOW INSIDE AN AXIALFLOW PUMP OF GV IMP TYPE ANATOLIY A. YEVTUSHENKO 1, ALEXEY N. KOCHEVSKY 1, NATALYA A. FEDOTOVA 1, ALEXANDER Y. SCHELYAEV 2, VLADIMIR N. KONSHIN 2 1 Depatment of
More informationDiffusion and Fluid Flow
Diffusion and Fluid Flow What determines the diffusion coefficient? What determines fluid flow? 1. Diffusion: Diffusion refers to the transport of substance against a concentration gradient. ΔS>0 Mass
More informationCE 204 FLUID MECHANICS
CE 204 FLUID MECHANICS Onur AKAY Assistant Professor Okan University Department of Civil Engineering Akfırat Campus 34959 TuzlaIstanbul/TURKEY Phone: +902166771630 ext.1974 Fax: +902166771486 Email:
More information1. Fluids Mechanics and Fluid Properties. 1.1 Objectives of this section. 1.2 Fluids
1. Fluids Mechanics and Fluid Properties What is fluid mechanics? As its name suggests it is the branch of applied mechanics concerned with the statics and dynamics of fluids  both liquids and gases.
More informationProblem Set # 9 Solutions
Poblem Set # 9 Solutions Chapte 12 #2 a. The invention of the new highspeed chip inceases investment demand, which shifts the cuve out. That is, at evey inteest ate, fims want to invest moe. The incease
More informationQuestions & Answers Chapter 10 Software Reliability Prediction, Allocation and Demonstration Testing
M13914 Questions & Answes Chapte 10 Softwae Reliability Pediction, Allocation and Demonstation Testing 1. Homewok: How to deive the fomula of failue ate estimate. λ = χ α,+ t When the failue times follow
More informationUnit 1 INTRODUCTION 1.1.Introduction 1.2.Objectives
Structure 1.1.Introduction 1.2.Objectives 1.3.Properties of Fluids 1.4.Viscosity 1.5.Types of Fluids. 1.6.Thermodynamic Properties 1.7.Compressibility 1.8.Surface Tension and Capillarity 1.9.Capillarity
More informationIntroduction to Microfluidics. Date: 2013/04/26. Dr. YiChung Tung. Outline
Introduction to Microfluidics Date: 2013/04/26 Dr. YiChung Tung Outline Introduction to Microfluidics Basic Fluid Mechanics Concepts Equivalent Fluidic Circuit Model Conclusion What is Microfluidics Microfluidics
More informationSupplementary Material for EpiDiff
Supplementay Mateial fo EpiDiff Supplementay Text S1. Pocessing of aw chomatin modification data In ode to obtain the chomatin modification levels in each of the egions submitted by the use QDCMR module
More informationYARN PROPERTIES MEASUREMENT: AN OPTICAL APPROACH
nd INTERNATIONAL TEXTILE, CLOTHING & ESIGN CONFERENCE Magic Wold of Textiles Octobe 03 d to 06 th 004, UBROVNIK, CROATIA YARN PROPERTIES MEASUREMENT: AN OPTICAL APPROACH Jana VOBOROVA; Ashish GARG; Bohuslav
More informationIlona V. Tregub, ScD., Professor
Investment Potfolio Fomation fo the Pension Fund of Russia Ilona V. egub, ScD., Pofesso Mathematical Modeling of Economic Pocesses Depatment he Financial Univesity unde the Govenment of the Russian Fedeation
More informationDimensional 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 informationAvoided emissions kgco 2eq /m 2 Reflecting surfaces 130
ANALYSIS OF GLOBAL WARMING MITIGATION BY WHITE REFLECTING SURFACES Fedeico Rossi, Andea Nicolini Univesity of Peugia, CIRIAF Via G.Duanti 67 0615 Peugia, Italy T: +9075585846; F: +90755848470; E: fossi@unipg.it
More informationCHAPTER 2: LIQUID VISCOSITY MEASUREMENT
CHAPTER 2: LIQUID VISCOSITY MEASUREMENT Objective Calculate viscosity (dynamic or absolute, and kinematic) and determine how this property varies with changes in temperature for a constantcomposition
More informationFLUID FLOW STREAMLINE LAMINAR FLOW TURBULENT FLOW REYNOLDS NUMBER
VISUAL PHYSICS School of Physics University of Sydney Australia FLUID FLOW STREAMLINE LAMINAR FLOW TURBULENT FLOW REYNOLDS NUMBER? What type of fluid flow is observed? The above pictures show how the effect
More informationC B A T 3 T 2 T 1. 1. What is the magnitude of the force T 1? A) 37.5 N B) 75.0 N C) 113 N D) 157 N E) 192 N
Three boxes are connected by massless strings and are resting on a frictionless table. Each box has a mass of 15 kg, and the tension T 1 in the right string is accelerating the boxes to the right at a
More informationChapter 11: Aggregate Demand II, Applying the ISLM Model Th LM t
Equilibium in the  model The cuve epesents equilibium in the goods maket. Chapte :, Applying the  Model Th t C ( T) I( ) G The cuve epesents money maket equilibium. M L(, ) The intesection detemines
More informationGravitational Mechanics of the MarsPhobos System: Comparing Methods of Orbital Dynamics Modeling for Exploratory Mission Planning
Gavitational Mechanics of the MasPhobos System: Compaing Methods of Obital Dynamics Modeling fo Exploatoy Mission Planning Alfedo C. Itualde The Pennsylvania State Univesity, Univesity Pak, PA, 6802 This
More informationOUTCOME 1 STATIC FLUID SYSTEMS TUTORIAL 1  HYDROSTATICS
Unit 41: Fluid Mechanics Unit code: T/601/1445 QCF Level: 4 Credit value: 15 OUTCOME 1 STATIC FLUID SYSTEMS TUTORIAL 1  HYDROSTATICS 1. Be able to determine the behavioural characteristics and parameters
More informationControlling the Money Supply: Bond Purchases in the Open Market
Money Supply By the Bank of Canada and Inteest Rate Detemination Open Opeations and Monetay Tansmission Mechanism The Cental Bank conducts monetay policy Bank of Canada is Canada's cental bank supevises
More informationAN IMPLEMENTATION OF BINARY AND FLOATING POINT CHROMOSOME REPRESENTATION IN GENETIC ALGORITHM
AN IMPLEMENTATION OF BINARY AND FLOATING POINT CHROMOSOME REPRESENTATION IN GENETIC ALGORITHM Main Golub Faculty of Electical Engineeing and Computing, Univesity of Zageb Depatment of Electonics, Micoelectonics,
More informationImpulse and Linear Momentum 5
Implse and Linea Momentm 5 How does jet poplsion wok? How can yo mease the speed of a bllet? Wold a meteoite collision significantly change Eath s obit? In pevios chaptes we discoveed that the pshing inteaction
More informationA r. (Can you see that this just gives the formula we had above?)
241 (SJP, Phys 1120) lectic flux, and Gauss' law Finding the lectic field due to a bunch of chages is KY! Once you know, you know the foce on any chage you put down  you can pedict (o contol) motion
More informationBattery Thermal Management System Design Modeling
Battery Thermal Management System Design Modeling GiHeon Kim, Ph.D Ahmad Pesaran, Ph.D (ahmad_pesaran@nrel.gov) National Renewable Energy Laboratory, Golden, Colorado, U.S.A. EVS October 8, 8, 006 Yokohama,
More informationLecture 5 Hemodynamics. Description of fluid flow. The equation of continuity
1 Lecture 5 Hemodynamics Description of fluid flow Hydrodynamics is the part of physics, which studies the motion of fluids. It is based on the laws of mechanics. Hemodynamics studies the motion of blood
More informationDesign of Wind Energy System on the Building Tower Applications
ISSN(Online): 398753 ISSN (Pint) :34767 (An ISO 397: 7 Cetified Oganization) Vol. 4, Issue, Febuay 5 Design of Wind Enegy System on the Building owe Applications D.Anusha, L V Suesh Kuma, G.V. Nagesh
More informationINITIAL MARGIN CALCULATION ON DERIVATIVE MARKETS OPTION VALUATION FORMULAS
INITIAL MARGIN CALCULATION ON DERIVATIVE MARKETS OPTION VALUATION FORMULAS Vesion:.0 Date: June 0 Disclaime This document is solely intended as infomation fo cleaing membes and othes who ae inteested in
More informationCost/Benefit Analysis of Aquaponic Systems
Cost/Benefit Analysis of Aquaponic Systems Richad Chiang 1 PURPOSE pupose of this pape is to analyse the costs and benefits of aquaponic systems designed fo home use. Howeve, one can easily extapolate
More informationThe 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 informationMobile Phone Antenna with Reduced Radiation into Inner Ear
Int. J. Communications, Netwok and System Sciences, 2014, 7, 474484 Published Online Novembe 2014 in SciRes. http://www.scip.og/jounal/ijcns http://dx.doi.og/10.4236/ijcns.2014.711048 Mobile Phone Antenna
More informationVISUAL PHYSICS School of Physics University of Sydney Australia. Why do cars need different oils in hot and cold countries?
VISUAL PHYSICS School of Physics University of Sydney Australia FLUID FLOW VISCOSITY POISEUILLE'S LAW? Why do cars need different oils in hot and cold countries? Why does the engine runs more freely as
More informationThe ratio of inertial to viscous forces is commonly used to scale fluid flow, and is called the Reynolds number, given as:
12.001 LAB 3C: STOKES FLOW DUE: WEDNESDAY, MARCH 9 Lab Overview and Background The viscosity of a fluid describes its resistance to deformation. Water has a very low viscosity; the force of gravity causes
More informationStrength Analysis and Optimization Design about the key parts of the Robot
Intenational Jounal of Reseach in Engineeing and Science (IJRES) ISSN (Online): 23209364, ISSN (Pint): 23209356 www.ijes.og Volume 3 Issue 3 ǁ Mach 2015 ǁ PP.2529 Stength Analysis and Optimization Design
More informationCEE 370 Fall 2015. Laboratory #3 Open Channel Flow
CEE 70 Fall 015 Laboratory # Open Channel Flow Objective: The objective of this experiment is to measure the flow of fluid through open channels using a Vnotch weir and a hydraulic jump. Introduction:
More informationPAN STABILITY TESTING OF DC CIRCUITS USING VARIATIONAL METHODS XVIII  SPETO  1995. pod patronatem. Summary
PCE SEMINIUM Z PODSTW ELEKTOTECHNIKI I TEOII OBWODÓW 8  TH SEMIN ON FUNDMENTLS OF ELECTOTECHNICS ND CICUIT THEOY ZDENĚK BIOLEK SPŠE OŽNO P.., CZECH EPUBLIC DLIBO BIOLEK MILITY CDEMY, BNO, CZECH EPUBLIC
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 informationSmall Motors Gearmotors Motion Controls
BODIE ELECTRIC COMPAY BODIE ELECTRIC COMPAY Small Mots Geamots Motion Contols MOTOR & GEARMOTOR 1. SELECTIO 2. GUIDE. IT S AS EASY AS 3. Ceated by the Bodine Electic Company, this Mot and Geamot Selection
More informationAn Introduction to Fluid Mechanics
0. Contents of the Course Notes For the First Year Lecture Course: An Introduction to Fluid Mechanics School of Civil Engineering, University of Leeds. CIVE1400 FLUID MECHANICS Dr Andrew Sleigh January
More informationAngular acceleration α
Angular Acceleration Angular acceleration α measures how rapidly the angular velocity is changing: Slide 70 Linear and Circular Motion Compared Slide 7 Linear and Circular Kinematics Compared Slide 7
More informationest using the formula I = Prt, where I is the interest earned, P is the principal, r is the interest rate, and t is the time in years.
9.2 Inteest Objectives 1. Undestand the simple inteest fomula. 2. Use the compound inteest fomula to find futue value. 3. Solve the compound inteest fomula fo diffeent unknowns, such as the pesent value,
More informationSpirotechnics! September 7, 2011. Amanda Zeringue, Michael Spannuth and Amanda Zeringue Dierential Geometry Project
Spiotechnics! Septembe 7, 2011 Amanda Zeingue, Michael Spannuth and Amanda Zeingue Dieential Geomety Poject 1 The Beginning The geneal consensus of ou goup began with one thought: Spiogaphs ae awesome.
More informationDYNAMICS AND STRUCTURAL LOADING IN WIND TURBINES
DYNAMIS AND STRUTURAL LOADING IN WIND TURBINES M. Ragheb 12/30/2008 INTRODUTION The loading egimes to which wind tubines ae subject to ae extemely complex equiing special attention in thei design, opeation
More informationViscosity. Desmond Schipper Andrew R. Barron. 1 Introduction
OpenStaxCNX module: m50215 1 Viscosity Desmond Schipper Andrew R. Barron This work is produced by OpenStaxCNX and licensed under the Creative Commons Attribution License 4.0 Abstract This module discusses
More informationLATIN SQUARE DESIGN (LS) With the Latin Square design you are able to control variation in two directions.
Facts about the LS Design LATIN SQUARE DESIGN (LS) With the Latin Squae design you ae able to contol vaiation in two diections. Teatments ae aanged in ows and columns Each ow contains evey teatment.
More informationAn Epidemic Model of Mobile Phone Virus
An Epidemic Model of Mobile Phone Vius Hui Zheng, Dong Li, Zhuo Gao 3 Netwok Reseach Cente, Tsinghua Univesity, P. R. China zh@tsinghua.edu.cn School of Compute Science and Technology, Huazhong Univesity
More informationJournal bearings/sliding bearings
Journal bearings/sliding bearings Operating conditions: Advantages:  Vibration damping, impact damping, noise damping  not sensitive for vibrations, low operating noise level  dust tight (if lubricated
More informationVISCOSITY OF A LIQUID. To determine the viscosity of a lubricating oil. Time permitting, the temperature variation of viscosity can also be studied.
VISCOSITY OF A LIQUID August 19, 004 OBJECTIVE: EQUIPMENT: To determine the viscosity of a lubricating oil. Time permitting, the temperature variation of viscosity can also be studied. Viscosity apparatus
More informationOUTCOME 3 TUTORIAL 5 DIMENSIONAL ANALYSIS
Unit 41: Fluid Mechanics Unit code: T/601/1445 QCF Level: 4 Credit value: 15 OUTCOME 3 TUTORIAL 5 DIMENSIONAL ANALYSIS 3 Be able to determine the behavioural characteristics and parameters of real fluid
More informationExam 2 is at 7 pm tomorrow Conflict is at 5:15 pm in 151 Loomis
* By request, but I m not vouching for these since I didn t write them Exam 2 is at 7 pm tomorrow Conflict is at 5:15 pm in 151 Loomis There are extra office hours today & tomorrow Lots of practice exams
More informationComplex Envelope Vectorization for the solution of midhigh frequency acoustic problems. A. Sestieri
Complex Envelope Vectoization fo the solution of midhigh fequency acoustic poblems A. Sestiei Depatment of Mechanical and Aeospace Engineeing Univesity of Rome la Sapienza Pesentation layout  Low fequency
More informationPHY121 #8 Midterm I 3.06.2013
PHY11 #8 Midterm I 3.06.013 AP Physics Newton s Laws AP Exam Multiple Choice Questions #1 #4 1. When the frictionless system shown above is accelerated by an applied force of magnitude F, the tension
More informationPhysics 101 Hour Exam 3 December 1, 2014
Physics 101 Hour Exam 3 December 1, 2014 Last Name: First Name ID Discussion Section: Discussion TA Name: Instructions Turn off your cell phone and put it away. Calculators cannot be shared. Please keep
More informationChapter 2 Mathematical Model of the Safety Factor and Control Problem Formulation
Chapte 2 Mathematical Model of the Safety Facto and Contol Poblem Fomulation We ae inteested in contolling the safety facto pofile in a tokamak plasma. As the safety facto depends on the atio of the nomalized
More informationCO 2 41.2 MPa (abs) 20 C
comp_02 A CO 2 cartridge is used to propel a small rocket cart. Compressed CO 2, stored at a pressure of 41.2 MPa (abs) and a temperature of 20 C, is expanded through a smoothly contoured converging nozzle
More informationConstruction of semidynamic model of subduction zone with given plate kinematics in 3D sphere
Eath Planets Space, 62, 665 673, 2010 Constuction of semidynamic model of subduction zone with given plate kinematics in 3D sphee M. Moishige 1, S. Honda 1, and P. J. Tackley 2 1 Eathquake Reseach Institute,
More informationInstructions. Application. FORTIFIed with. www.gkhair.com info@gkhair.com PH: +1.305.390.0044 +1 888.JUVEXIN (888.588.
FORTIFIed with Juvexin Application Instuctions www.gkhai.com info@gkhai.com PH: +1.5.390.0044 +1 888.JUVEXIN (888.588.3946) POWERED BY: GKhai, Global Keatin, Hai Taming System, Juvexin, and ph+ ae tademaks
More informationFluid Dynamics Viscosity. Dave Foster Department of Chemical Engineering University of Rochester Email: dafoster@che
Fluid Dynamics Viscosity Dave Foster Department of Chemical Engineering University of Rochester Email: dafoster@che che.rochester.eduedu 1 Chemical Engineering What do Chemical Engineers Do? Manufacturing
More informationChapter 3 Savings, Present Value and Ricardian Equivalence
Chapte 3 Savings, Pesent Value and Ricadian Equivalence Chapte Oveview In the pevious chapte we studied the decision of households to supply hous to the labo maket. This decision was a static decision,
More informationDefinitions and terminology
I love the Case & Fai textbook but it is out of date with how monetay policy woks today. Please use this handout to supplement the chapte on monetay policy. The textbook assumes that the Fedeal Reseve
More informationFREESTUDY HEAT TRANSFER TUTORIAL 3 ADVANCED STUDIES
FREESTUDY HEAT TRANSFER TUTORIAL ADVANCED STUDIES This is the third tutorial in the series on heat transfer and covers some of the advanced theory of convection. The tutorials are designed to bring the
More informationEquity compensation plans New Income Statement impact on guidance Earnings Per Share Questions and answers
Investos/Analysts Confeence: Accounting Wokshop Agenda Equity compensation plans New Income Statement impact on guidance Eanings Pe Shae Questions and answes IAC03 / a / 1 1 Equity compensation plans The
More informationHeat transfer analysis of canned food sterilization in a still retort
Available online at www.sciencediect.com Jounal of Food Engineeing xxx (28) xxx xxx www.elsevie.com/locate/jfoodeng Heat tansfe analysis of canned food steilization in a still etot A. Kannan *, P.Ch. Gouisanka
More informationDIFFERENT TYPES OF HUMAN HEAD SHAPES FOR CELLULAR PHONE EXPOSURE ON ELECTROMAGNETIC ABSORPTION
DIFFERENT TYPES OF HUMAN HEAD SHAPES FOR CELLULAR PHONE EXPOSURE ON ELECTROMAGNETIC ABSORPTION Mohammad Rashed Iqbal Fauque* #1, Mohammad Taiqul Islam* 2, Nobahiah Misan* #3 * Institute of Space Science
More informationNAVAL POSTGRADUATE SCHOOL THESIS
NAVAL POSTGRADUATE SCHOOL MONTEREY, CALIFORNIA THESIS CONTOUR TRACKING CONTROL FOR THE REMUS AUTONOMOUS UNDERWATER VEHICLE by Alan Robet Van Reet June 2005 Thesis Adviso: Anthony Healey Appoved fo public
More information