Fluids. Fluids in Motion or Fluid Dynamics


 Charla Eustacia Lewis
 8 months ago
 Views:
Transcription
1 Fluids Fluids in Motion or Fluid Dynamics Resources: Serway  Chapter 9: Physics B Lesson 3: Fluid Flow Continuity Physics B Lesson 4: Bernoulli's Equation MIT  8: Hydrostatics, Archimedes' Principle, and Fluid Dynamics Fluid Flow When real fluids flow through pipes, two distinct forces act on them. Frictional forces exerted on the fluid by the walls of the pipe. Viscous forces within the fluid. Viscosity describes the degree of internal friction. Energy is lost due to these forces. Two types of flow: Laminar (streamline) Smooth path, path called streamline Turbulent (irregular) Abrupt changes in velocity, irregular motions called eddy currents
2 Turbulent Types of Fluid Flow Turbulent Flow Laminar Streamline Laminar Flow Fluid Flow Wind Tunnels
3 Conditions for an Ideal Fluid Nonviscous flow Flow where there is no internal friction force between adjacent layers. Incompressible flow The density of the fluid remains constant. Steady flow Laminar flow where the velocity, density, and pressure at each point in the fluid are constant. Irrotational flow (no turbulence) Each element of the fluid has zero angular velocity about its center. No eddy currents or whirlpools. Fluid Flow Rate Where, V = volume (m 3 ) t = time (s) A = area (m ) v = speed of fluid (m/s) Note: Q is sometimes used to represent the flow rate. 3
4 Fluid Flow Rate Where, m = mass (kg) t = time (s) ρ = density (kg/m 3 ) A = area (m ) v = speed of fluid (m/s) Fluid Flow Continuity V = V ρ V = ρ V m = m V = V A v t = A v t A L = A L A v = A v The volume per unit time of a liquid flowing in a pipe is constant throughout the pipe. A v = A v AP Continuity Equation A, A : cross sectional areas at points and v, v : speed of fluid flow at points and 4
5 Practice Problem Spray Water travels through a 9.6 cm diameter fire hose with a speed of.3 m/s. At the end of the hose the water flows out through a nozzle whose diameter is.5 cm. What is the speed of the water exiting the nozzle? Solution: A v = A v v = v (A /A ) = v (πd /4)/(πd /4) v = v (d )/(d ) = (.3 m/s)[(0.096 m) /(0.05 m) v = 9. m/s Bernoulli s Theorem The sum of the pressure (P ), the potential energy per unit volume (ρgh ) and the kinetic energy per unit volume (½ρv ) has the same value at all points along a streamline. All other considerations being equal, when fluid moves faster, the pressure drops. This equation is essentially a statement of conservation of energy in a fluid. 5
6 Bernoulli s Theorem P + ρgy + ½ρv = const. P : pressure (Pa) AP ρ : density of fluid (kg/m 3 ) g: gravity (9.8 m/s ) y: height above lowest point (m), might appear as h v: speed of fluid flow at a point in the pipe (m/s) const. constant Bernoulli s Equation: P + ρgy + ρv = P + ρgy + ρv Applications of Bernoulli s Principle The Bernoulli effect is simple to demonstrate all you need is a sheet of paper. Try this! Hold the paper by its end, so that it would be horizontal if it were stiff, and blow across the top. BLOW HARD! What happens? The paper will rise, due to the higher speed, and therefore lower pressure, above the sheet. 6
7 Airplane Wing Applications of Bernoulli s Principle The Bernoulli effect is used in many common applications. Airplane Wing Lift Designed so that the air speed above the wing is great than the air speed below which causes a pressure difference resulting in an upward lift force. Carburators (Venturi Tube) As a fluid flows through a tube or pipe, when the pipe narrows the speed of the flow increases, but its pressure drops. A venturi is the name for the restricted, or narrowed, area of a container through which a fluid flows. 7
8 Applications of Bernoulli s Principle The Bernoulli effect is used in many common applications. Curve of a Ball Bernoulli s principle creates an imbalance on the forces, cause the ball to deflect, aka the "Magnus Effect". Atomizers The stream of air passing over the tube reduces the pressure above the tube, this causes the liquid to rise into the airstream. Example Venturi Meter A Venturi meter is used to measure fluid speed in a pipe. Suppose that the pipe in question carries water, A =.0A, and the fluid heights in the vertical tubes are h =.0 m and h = 0.80 m. Find the following: (a) The ratio of the flow speeds, v /v (b) The gauge pressures P and P (c) The flow speed v in the pipe. 8
9 Practice Problem Spray Water travels through a 9.6 cm diameter fire hose with a speed of.3 m/s. At the end of the hose the water flows out through a nozzle whose diameter is.5 cm. Suppose the pressure in the fire hose is 350 kpa. What is the pressure in the nozzle? Solution: P + ρgh + ½ρv = P + ρgh + ½ρv P + ½ρv = P + ½ρv P = P + ½ρv  ½ρv P = P + ½ρ(v  v ) P = 350 kpa + ½ (000 kg/m 3 )[(.3 m/s) (9. m/s) ] P = 67 kpa 9
Lecture 30 (Walker: ) Fluid Dynamics April 15, 2009
Physics 111 Lecture 30 (Walker: 15.67) Fluid Dynamics April 15, 2009 Midterm #2  Monday April 20 Chap. 7,Chap. 8 (not 8.5) Chap. 9 (not 9.6, 9.8) Chap. 10, Chap. 11 (not 11.89) Chap. 13 (not 13.68)
More informationLecture 27 (Walker: ) Fluid Dynamics Nov. 9, 2009
Physics 111 Lecture 27 (Walker: 15.57) Fluid Dynamics Nov. 9, 2009 Midterm #2  Monday Nov. 16 Chap. 7,Chap. 8 (not 8.5) Chap. 9 (not 9.6, 9.8) Chap. 10, Chap. 11 (not 11.89) Chap. 13 (not 13.68) Chap.
More informationPhysics 201 Chapter 13 Lecture 1
Physics 201 Chapter 13 Lecture 1 Fluid Statics Pascal s Principle Archimedes Principle (Buoyancy) Fluid Dynamics Continuity Equation Bernoulli Equation 11/30/2009 Physics 201, UWMadison 1 Fluids Density
More informationChapter 15B  Fluids in Motion. A PowerPoint Presentation by Paul E. Tippens, Professor of Physics Southern Polytechnic State University
Chapter 15B  Fluids in Motion A PowerPoint Presentation by Paul E. Tippens, Professor of Physics Southern Polytechnic State University 007 Paul E. Tippens Fluid Motion The lower falls at Yellowstone National
More informationChapter 15: Fluids. Mass Density = Volume. note : Fluids: substances which flow
Fluids: substances which flow Chapter 5: Fluids Liquids: take the shape of their container but have a definite volume Gases: take the shape and volume of their container Density m ρ = V Mass Density =
More informationFluids. Fluid = Gas or Liquid. Density Pressure in a Fluid Buoyancy and Archimedes Principle Fluids in Motion
Chapter 14 Fluids Fluids Density Pressure in a Fluid Buoyancy and Archimedes Principle Fluids in Motion Fluid = Gas or Liquid MFMcGrawPHY45 Chap_14HaFluidsRevised 10/13/01 Densities MFMcGrawPHY45 Chap_14HaFluidsRevised
More informationChapter 15: Fluid Mechanics Dynamics Using Pascal s Law = F 1 = F 2 2 = F 2 A 2
Lecture 24: Archimedes Principle and Bernoulli s Law 1 Chapter 15: Fluid Mechanics Dynamics Using Pascal s Law Example 15.1 The hydraulic lift A hydraulic lift consists of a small diameter piston of radius
More informationIntroductory Physics PHYS101
Introductory Physics PHYS101 Dr Richard H. Cyburt Office Hours Assistant Professor of Physics My office: 402c in the Science Building My phone: (304) 3846006 My email: rcyburt@concord.edu TRF 9:3011:00am
More informationLesson 6 Review of fundamentals: Fluid flow
Lesson 6 Review of fundamentals: Fluid flow The specific objective of this lesson is to conduct a brief review of the fundamentals of fluid flow and present: A general equation for conservation of mass
More informationMASS, MOMENTUM, AND ENERGY EQUATIONS
MASS, MOMENTUM, AND ENERGY EQUATIONS This chapter deals with four equations commonly used in fluid mechanics: the mass, Bernoulli, Momentum and energy equations. The mass equation is an expression of the
More information(3) BIOMECHANICS of LOCOMOTION through FLUIDS
(3) BIOMECHANICS of LOCOMOTION through FLUIDS Questions:  Explain the biomechanics of different modes of locomotion through fluids (undulation, rowing, hydrofoils, jet propulsion).  How does size influence
More informationChapter 15  Fluid Mechanics Thursday, March 24 th
Chapter 15  Fluid Mechanics Thursday, March 24 th Fluids Static properties Density and pressure Hydrostatic equilibrium Archimedes principle and buoyancy Fluid Motion The continuity equation Bernoulli
More informationChapter 9 Fluids. Pressure
Chapter 9 Fluids States of Matter  Solid, liquid, gas. Fluids (liquids and gases) do not hold their shapes. In many cases we can think of liquids as being incompressible. Liquids do not change their volume
More informationPage 1. Chapters 2, 3 (linear) 9 (rotational) Final Exam: Wednesday, May 11, 10:05 am  12:05 pm, BASCOM 272
Final Exam: Wednesday, May 11, 10:05 am  12:05 pm, BASCOM 272 The exam will cover chapters 1 14 The exam will have about 30 multiple choice questions Consultations hours the same as before. Another review
More informationPhysics 207 Lecture 20. Chapter 15, Fluids
Chapter 15, Fluids This is an actual photo of an iceberg, taken by a rig manager for Global Marine Drilling in St. Johns, Newfoundland. The water was calm and the sun was almost directly overhead so that
More informationMomentum Circular Motion and Gravitation Rotational Motion Fluid Mechanics
Momentum Circular Motion and Gravitation Rotational Motion Fluid Mechanics Momentum Momentum Collisions between objects can be evaluated using the laws of conservation of energy and of momentum. Momentum
More informationFluid Mechanics. Chapter 14. Modified by P. Lam 6_7_2012
Chapter 14 Fluid Mechanics PowerPoint Lectures for University Physics, Twelfth Edition Hugh D. Young and Roger A. Freedman Lectures by James Pazun Modified by P. Lam 6_7_2012 Goals for Chapter 14 To study
More informationMass of fluid leaving per unit time
5 ENERGY EQUATION OF FLUID MOTION 5.1 Eulerian Approach & Control Volume In order to develop the equations that describe a flow, it is assumed that fluids are subject to certain fundamental laws of physics.
More informationAerodynamics. Basic Aerodynamics. Continuity equation (mass conserved) Some thermodynamics. Energy equation (energy conserved)
Flow with no friction (inviscid) Aerodynamics Basic Aerodynamics Continuity equation (mass conserved) Flow with friction (viscous) Momentum equation (F = ma) 1. Euler s equation 2. Bernoulli s equation
More informationLiquids CHAPTER 13 FLUIDS FLUIDS. Gases. Density! Bulk modulus! Compressibility. To begin with... some important definitions...
CHAPTER 13 FLUIDS FLUIDS Liquids Gases Density! Bulk modulus! Compressibility Pressure in a fluid! Hydraulic lift! Hydrostatic paradox Measurement of pressure! Manometers and barometers Buoyancy and Archimedes
More informationNotes for Lecture 2 Fluids Buoyancy Fluid Dynamics Bernoulli s Equation
Notes for Lecture 2 Fluids Buoyancy Fluid Dynamics Bernoulli s Equation Lana Sheridan De Anza College April 12, 2017 Last time introduction to static fluids pressure and depth Pascal s principle measurements
More informationPART 1B EXPERIMENTAL ENGINEERING. SUBJECT: FLUID MECHANICS & HEAT TRANSFER LOCATION: HYDRAULICS LAB (Gnd Floor Inglis Bldg) BOUNDARY LAYERS AND DRAG
1 PART 1B EXPERIMENTAL ENGINEERING SUBJECT: FLUID MECHANICS & HEAT TRANSFER LOCATION: HYDRAULICS LAB (Gnd Floor Inglis Bldg) EXPERIMENT T3 (LONG) BOUNDARY LAYERS AND DRAG OBJECTIVES a) To measure the velocity
More informationPressure in stationary and moving fluid Lab Lab On On Chip: Lecture 2
Pressure in stationary and moving fluid LabOnChip: Lecture Lecture plan what is pressure e and how it s distributed in static fluid water pressure in engineering problems buoyancy y and archimedes law;
More informationLESSON Understanding. Bernoulli s principle. Bernoulli s principle. Activities to show Bernoulli s Principle
idang sains dan matematik LESSON 3.6  pplication ernoulli Principal LESSON 3.6  Understanding ernoulli s principle. ernoulli s principle. ernoulli s principle states that The pressure of a moving liquid
More informationPhysics 201 Chapter 13 Lecture 1
Physics 201 Chapter 13 Lecture 1 Fluid Statics Pascal s Principle Archimedes Principle (Buoyancy) Fluid Dynamics Continuity Equation Bernoulli Equation 11/30/2009 Physics 201, UWMadison 1 Fluids Density
More informationIntroduction to Fluid Flow
Introduction to Fluid Flow Learning Outcomes After this lecture you should be able to Explain viscosity and how it changes with temperature Write the continuity equation Define laminar and turbulent flow
More informationPHYSICAL MECHANISM OF CONVECTION
Tue 8:54:24 AM Slide Nr. 0 of 33 Slides PHYSICAL MECHANISM OF CONVECTION Heat transfer through a fluid is by convection in the presence of bulk fluid motion and by conduction in the absence of it. Chapter
More informationFigure 3: Problem 7. (a) 0.9 m (b) 1.8 m (c) 2.7 m (d) 3.6 m
1. For the manometer shown in figure 1, if the absolute pressure at point A is 1.013 10 5 Pa, the absolute pressure at point B is (ρ water =10 3 kg/m 3, ρ Hg =13.56 10 3 kg/m 3, ρ oil = 800kg/m 3 ): (a)
More informationStream Tube. When density do not depend explicitly on time then from continuity equation, we have V 2 V 1. δa 2. δa 1 PH6L24 1
Stream Tube A region of the moving fluid bounded on the all sides by streamlines is called a tube of flow or stream tube. As streamline does not intersect each other, no fluid enters or leaves across the
More informationPressure in stationary and moving fluid. LabOnChip: Lecture 2
Pressure in stationary and moving fluid LabOnChip: Lecture Fluid Statics No shearing stress.no relative movement between adjacent fluid particles, i.e. static or moving as a single block Pressure at
More informationM o d u l e B a s i c A e r o d y n a m i c s
Category A B1 B2 B3 Level 1 2 3 M o d u l e 0 80 1 B a s i c A e r o d y n a m i c s P h y s i c s o f t h e A t m o s p h e r e 0801 1 Category A B1 B2 B3 Level 1 2 3 T a b l e o f c o n t e n t s
More informationLesson 37 Transmission Of Air In Air Conditioning Ducts
Lesson 37 Transmission Of Air In Air Conditioning Ducts Version 1 ME, IIT Kharagpur 1 The specific objectives of this chapter are to: 1. Describe an Air Handling Unit (AHU) and its functions (Section 37.1).
More informationcos(θ)sin(θ) Alternative Exercise Correct Correct θ = 0 skiladæmi 10 Part A Part B Part C Due: 11:59pm on Wednesday, November 11, 2015
skiladæmi 10 Due: 11:59pm on Wednesday, November 11, 015 You will receive no credit for items you complete after the assignment is due Grading Policy Alternative Exercise 1115 A bar with cross sectional
More informationChapter 3 Bernoulli Equation
1 Bernoulli Equation 3.1 Flow Patterns: Streamlines, Pathlines, Streaklines 1) A streamline, is a line that is everywhere tangent to the velocity vector at a given instant. Examples of streamlines around
More informationEXPERIMENT No.1 FLOW MEASUREMENT BY ORIFICEMETER
EXPERIMENT No.1 FLOW MEASUREMENT BY ORIFICEMETER 1.1 AIM: To determine the coefficient of discharge of the orifice meter 1.2 EQUIPMENTS REQUIRED: Orifice meter test rig, Stopwatch 1.3 PREPARATION 1.3.1
More information1.060 Engineering Mechanics II Spring Problem Set 3
1.060 Engineering Mechanics II Spring 2006 Due on Monday, March 6th Problem Set 3 Important note: Please start a new sheet of paper for each problem in the problem set. Write the names of the group members
More informationAER210 VECTOR CALCULUS and FLUID MECHANICS. Quiz 4 Duration: 70 minutes
AER210 VECTOR CALCULUS and FLUID MECHANICS Quiz 4 Duration: 70 minutes 26 November 2012 Closed Book, no aid sheets Nonprogrammable calculators allowed Instructor: Alis Ekmekci Family Name: Given Name:
More informationvector H. If O is the point about which moments are desired, the angular moment about O is given:
The angular momentum A control volume analysis can be applied to the angular momentum, by letting B equal to angularmomentum vector H. If O is the point about which moments are desired, the angular moment
More informationConceptual Physics Matter Liquids Gases
Conceptual Physics Matter Liquids Gases Lana Sheridan De Anza College July 19, 2016 Last time the atom history of our understanding of the atom solids density Overview elasticity liquids pressure buoyancy
More informationTutorial 10. Boundary layer theory
Tutorial 10 Boundary layer theory 1. If the velocity distribution law in a laminar boundary layer over a flat plate is assumes to be of the form, determine the velocity distribution law. At y = 0, u= 0
More informationCLASS SCHEDULE 2013 FALL
CLASS SCHEDULE 2013 FALL Class # or Lab # 1 Date Aug 26 2 28 Important Concepts (Section # in Text Reading, Lecture note) Examples/Lab Activities Definition fluid; continuum hypothesis; fluid properties
More informationFLUID FLOW IDEAL FLUID EQUATION OF CONTINUITY
VISUAL PHYSICS School of Physics University of Sydney Australia FLUID FLOW IDEAL FLUID EQUATION OF CONTINUITY? How can the blood deliver oxygen to body so successfully? How do we model fluids flowing in
More informationSourabh V. Apte. 308 Rogers Hall
Sourabh V. Apte 308 Rogers Hall sva@engr.orst.edu 1 Topics Quick overview of Fluid properties, units Hydrostatic forces Conservation laws (mass, momentum, energy) Flow through pipes (friction loss, Moody
More informationPressure Losses for Fluid Flow Through Abrupt Area. Contraction in Compact Heat Exchangers
Pressure Losses for Fluid Flow Through Abrupt Area Contraction in Compact Heat Exchangers Undergraduate Research Spring 004 By Bryan J. Johnson Under Direction of Rehnberg Professor of Ch.E. Bruce A. Finlayson
More informationThe Mechatronics Design for Measuring Fluid Friction Losses in Pipe Flows Rıza Gurbuz
Solid State Phenomena Vol. 113 (2006) pp 603608 Online available since 2006/Jun/15 at www.scientific.net (2006) Trans Tech Publications, Switzerland doi:10.4028/www.scientific.net/ssp.113.603 The Mechatronics
More informationTopic: Fluids PHYSICS 231
Topic: Fluids PHYSICS 231 Key Concepts Density, Volume, Mass density as material property Pressure units, how to measure, direction Hydrostatic pressure in liquid on earth Buoyancy and Archimedes Principle
More informationNumerical Investigation of Laminar Flow over a Rotating Circular Cylinder
International Journal of Mechanical & Mechatronics Engineering IJMMEIJENS Vol:13 No:3 32 Numerical Investigation of Laminar Flow over a Rotating Circular Cylinder Ressan Faris AlMaliky Department of
More informationCHAPTER 3 Introduction to Fluids in Motion
CHAPTER 3 Introduction to Fluids in Motion FEtpe Eam Review Problems: Problems 3 to 39 nˆ 0 ( n ˆi+ n ˆj) (3ˆi 4 ˆj) 0 or 3n 4n 0 3. (D) 3. (C) 3.3 (D) 3.4 (C) 3.5 (B) 3.6 (C) Also n n n + since ˆn
More informationMechanical Engineering Programme of Study
Mechanical Engineering Programme of Study Fluid Mechanics Instructor: Marios M. Fyrillas Email: eng.fm@fit.ac.cy SOLVED EXAMPLES ON VISCOUS FLOW 1. Consider steady, laminar flow between two fixed parallel
More informationPressure and Flow Characteristics
Pressure and Flow Characteristics Continuing Education from the American Society of Plumbing Engineers August 2015 ASPE.ORG/ReadLearnEarn CEU 226 READ, LEARN, EARN Note: In determining your answers to
More informationNotes: Most of the material in this chapter is taken from Young and Freedman, Chap. 12.
Capter 6. Fluid Mecanics Notes: Most of te material in tis capter is taken from Young and Freedman, Cap. 12. 6.1 Fluid Statics Fluids, i.e., substances tat can flow, are te subjects of tis capter. But
More informationEXAMPLE SHEET FOR TOPIC 3 AUTUMN 2013
EXAMPLE SHEET FOR TOPIC ATMN 01 Q1. se dimensional analysis to investigate how the capillary rise h of a liquid in a tube varies with tube diameter d, gravity g, fluid density ρ, surface tension σ and
More informationPotential Energy. Serway 7.6, 7.7;
Potential Energy Conservative and nonconservative forces Gravitational and elastic potential energy Mechanical Energy Serway 7.6, 7.7; 8.1 8.2 Practice problems: Serway chapter 7, problems 41, 43 chapter
More information1. Introduction, fluid properties (1.1, 2.8, 4.1, and handouts)
1. Introduction, fluid properties (1.1, 2.8, 4.1, and handouts) Introduction, general information Course overview Fluids as a continuum Density Compressibility Viscosity Exercises: A1 Fluid mechanics Fluid
More informationEXPERIMENT NO. 4 CALIBRATION OF AN ORIFICE PLATE FLOWMETER MECHANICAL ENGINEERING DEPARTMENT KING SAUD UNIVERSITY RIYADH
EXPERIMENT NO. 4 CALIBRATION OF AN ORIFICE PLATE FLOWMETER MECHANICAL ENGINEERING DEPARTMENT KING SAUD UNIVERSITY RIYADH Submitted By: ABDULLAH IBN ABDULRAHMAN ID: 13456789 GROUP A EXPERIMENT PERFORMED
More informationBERNOULLI EQUATION. The motion of a fluid is usually extremely complex.
Chapter 5 Fluid in Motion The Bernoulli Equation BERNOULLI EQUATION The motion of a fluid is usually extremely complex. The study of a fluid at rest, or in relative equilibrium, was simplified by the absence
More informationLecture 4. Differential Analysis of Fluid Flow NavierStockes equation
Lecture 4 Differential Analysis of Fluid Flow NavierStockes equation Newton second law and conservation of momentum & momentumofmomentum A jet of fluid deflected by an object puts a force on the object.
More informationFluid flow Pressure Bernoulli Principle Surface Tension
Lecture 9. Fluid flow Pressure Bernoulli Principle Surface Tension A v L A is the area Fluid flow Speed of a fluid in a pipe is not the same as the flow rate Relating: Fluid flow rate to Average speed
More informationToday s Discussion: Fluids Pressure and Pascal s principle Bouyancy, Archimedes principle Bernoulli s equation
1 Physics 213 Waves, Fluids and Thermal Physics Summer 2007 Lecturer: Mike Kagan (mak411@psu.edu, 322 Whitmore) Today s Discussion: Fluids Pressure and Pascal s principle Bouyancy, Archimedes principle
More informationSolution The light plates are at the same heights. In balance, the pressure at both plates has to be the same. m g A A A F A = F B.
43. A piece of metal rests in a toy wood boat floating in water in a bathtub. If the metal is removed from the boat, and kept out of the water, what happens to the water level in the tub? A) It does not
More informationPIPE FLOWS: LECTURE /04/2017. Yesterday, for the example problem Δp = f(v, ρ, μ, L, D) We came up with the non dimensional relation
/04/07 ECTURE 4 PIPE FOWS: Yesterday, for the example problem Δp = f(v, ρ, μ,, ) We came up with the non dimensional relation f (, ) 3 V or, p f(, ) You can plot π versus π with π 3 as a parameter. Or,
More informationWeek 8. Topics: Next deadline: Viscous fluid flow (Study guide 14. Sections 12.4 and 12.5.) Bolus flow (Study guide 15. Section 12.6.
8/1 Topics: Week 8 Viscous fluid flow (Study guide 14. Sections 12.4 and 12.5.) Bolus flow (Study guide 15. Section 12.6.) Pulsatile flow (Study guide 15. Section 12.7.) Next deadline: Friday October 31
More informationShell Balances in Fluid Mechanics
Shell Balances in Fluid Mechanics R. Shankar Subramanian Department of Chemical and Biomolecular Engineering Clarkson University When fluid flow occurs in a single direction everywhere in a system, shell
More informationExperiment No.4: Flow through Venturi meter. Background and Theory
Experiment No.4: Flow through Venturi meter Background and Theory Introduction Flow meters are used in the industry to measure the volumetric flow rate of fluids. Differential pressure type flow meters
More informationPIPE FLOW. The Energy Equation. The first law of thermodynamics for a system is, in words = +
The Energy Equation PIPE FLOW The first law of thermodynamics for a system is, in words Time rate of increase of the total storage energy of the t Net time rate of energy addition by heat transfer into
More informationContents. Microfluidics  Jens Ducrée Physics: Laminar and Turbulent Flow 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 informationFORMULA SHEET. General formulas:
FORMULA SHEET You may use this formula sheet during the Advanced Transport Phenomena course and it should contain all formulas you need during this course. Note that the weeks are numbered from 1.1 to
More informationOpen Channel Hydraulics I  Uniform Flow
PDHonline Course H138 (2 PDH) Open Channel Hydraulics I  Uniform Flow Instructor: Harlan H. Bengtson, Ph.D., PE 2012 PDH Online PDH Center 5272 Meadow Estates Drive Fairfax, VA 220306658 Phone & Fax:
More informationCHAPTER THREE FLUID MECHANICS
CHAPTER THREE FLUID MECHANICS 3.1. Measurement of Pressure Drop for Flow through Different Geometries 3.. Determination of Operating Characteristics of a Centrifugal Pump 3.3. Energy Losses in Pipes under
More informationPhysics, Chapter 9: Hydrodynamics (Fluids in Motion)
University of Nebraska  Lincoln DigitalCommons@University of Nebraska  Lincoln Robert Katz Publications Research Papers in Physics and Astronomy 11958 Physics, Chapter 9: Hydrodynamics (Fluids in Motion)
More informationUniversität DuisburgEssen Fakultät für Ingenieurwissenschaften WS 2012 Maschinenbau, IVG, Thermodynamik Dr. M. A. Siddiqi
1 Universität DuisburgEssen 3. Semester Fakultät für Ingenieurwissenschaften WS 2012 Maschinenbau, IVG, Thermodynamik Dr. M. A. Siddiqi THERMODYNAMICS LAB (ISE) Pressure Measurement 2 2 Pressure Measurement
More informationSeveral forms of the equations of motion
Chapter 6 Several forms of the equations of motion 6.1 The NavierStokes equations Under the assumption of a Newtonian stressrateofstrain constitutive equation and a linear, thermally conductive medium,
More informationConceptual Physics. Luis A. Anchordoqui. Department of Physics and Astronomy Lehman College, City University of New York. Lesson II September 5, 2017
Conceptual Physics Luis A. Anchordoqui Department of Physics and Astronomy Lehman College, City University of New York Lesson II September 5, 2017 https://arxiv.org/abs/1711.07445 L. A. Anchordoqui (CUNY)
More information2.00AJ / 16.00AJ Exploring Sea, Space, & Earth: Fundamentals of Engineering Design Spring 2009
MIT OpenCourseWare http://ocw.mit.edu 2.00AJ / 16.00AJ Exploring Sea, Space, & Earth: Fundamentals of Engineering Design Spring 2009 For information about citing these materials or our Terms of Use, visit:
More informationABSTRACT I. INTRODUCTION
2016 IJSRSET Volume 2 Issue 4 Print ISSN : 23951990 Online ISSN : 23944099 Themed Section: Engineering and Technology Analysis of Compressible Effect in the Flow Metering By Orifice Plate Using Prasanna
More informationChapter 3 NonNewtonian fluid
Chapter 3 NonNewtonian fluid 31. Introduction: The study of the deformation of flowing fluids is called rheology; the rheological behavior of various fluids is sketchen Figure 31. Newtonian fluids,
More informationAnswers to test yourself questions
Answers to test yourself questions Option B B Rotational dynamics ( ω + ω )t Use 0 ( +.).0 θ to get θ 46. 46 rad. Use ω ω0 + αθ to get ω.0 +. 4 and so ω 7.8 7 rad s. Use ω ω0 + αθ to get.4. + α 0 π. Hence
More informationReference : McCabe, W.L. Smith J.C. & Harriett P., Unit Operations of Chemical
1 Course materials (References) Textbook: Welty J. R., Wicks, C. E., Wilson, R. E., & Rorrer, G., Fundamentals of Momentum Heat, and Mass Transfer, 4th Edition, John Wiley & Sons.2000 Reference : McCabe,
More informationThe Divergence Theorem Stokes Theorem Applications of Vector Calculus. Calculus. Vector Calculus (III)
Calculus Vector Calculus (III) Outline 1 The Divergence Theorem 2 Stokes Theorem 3 Applications of Vector Calculus The Divergence Theorem (I) Recall that at the end of section 12.5, we had rewritten Green
More informationHeat Transfer Convection
Heat ransfer Convection Previous lectures conduction: heat transfer without fluid motion oday (textbook nearly 00 pages) Convection: heat transfer with fluid motion Research methods different Natural Convection
More information6.1 According to Handbook of Chemistry and Physics the composition of air is
6. Compressible flow 6.1 According to Handbook of Chemistry and Physics the composition of air is From this, compute the gas constant R for air. 6. The figure shows a, Pitotstatic tube used for velocity
More informationINTRODUCTION TO FLUID STATICS AND DYNAMICS
INTRODUCTION TO FLUID STATICS AND DYNAMICS INTRODUCTION TO FLUID STATICS AND DYNAMICS by J. Kovacs, Michigan State University 1. Introduction.............................................. 1 2. Archimedes
More information1. Introduction, tensors, kinematics
1. Introduction, tensors, kinematics Content: Introduction to fluids, Cartesian tensors, vector algebra using tensor notation, operators in tensor form, Eulerian and Lagrangian description of scalar and
More informationIn this process the temperature difference across the given length of pipe can be described as:
Dimensional Analysis/Model Testing You are tasked with designing a heat exchanger around a section of piping in a synthesis plant in which temperature control will be critical to prevent biproduct formation.
More information150A Review Session 2/13/2014 Fluid Statics. Pressure acts in all directions, normal to the surrounding surfaces
Fluid Statics Pressure acts in all directions, normal to the surrounding surfaces or Whenever a pressure difference is the driving force, use gauge pressure o Bernoulli equation o Momentum balance with
More informationLecture23. Flowmeter Design.
Lecture23 Flowmeter Design. Contents of lecture Design of flowmeter Principles of flow measurement; i) Venturi and ii) Orifice meter and nozzle Relationship between flow rate and pressure drop Relation
More informationPipe Flow. Lecture 17
Pipe Flow Lecture 7 Pipe Flow and the Energy Equation For pipe flow, the Bernoulli equation alone is not sufficient. Friction loss along the pipe, and momentum loss through diameter changes and corners
More informationBernoulli s Principle. Application: Lift. Bernoulli s Principle. Main Points 3/13/15. Demo: Blowing on a sheet of paper
Bernoulli s Principle Demo: Blowing on a sheet of paper Where the speed of a fluid increases, internal pressure in the fluid decreases. Due to continuous flow of a fluid: what goes in must come out! Fluid
More informationThe workenergy theorem
The workenergy theorem Objectives Investigate quantities using the workenergy theorem in various situations. Calculate quantities using the workenergy theorem in various situations. Design and implement
More informationConstants and Conversions: g = 9.81 m/s 2 = 32.2 ft/s 2 ρ water = 1000 kg/m 3 C water = 1 cal/gk 1 cal = J 1 L = 1.
EF 152 Final Exam  Fall 2006, Page 1 of 7, Name: Section: Exam Overview: a) The exam consists of 12 questions worth 8 points each (you get 4 points for putting your name and correctly identifying your
More informationME 4600:483 Lab Notes Revised 11/16/2015. Flow Measurement
Table of Contents Flow Measurement Flow Measurement... 1 I. Objective... 1 II. Apparatus... 1 III. Principles and Background... 1 PitotStatic Tubes... 2 Orifice Plates and Unrecoverable Losses... 4 Flow
More informationMomentum (Newton s 2nd Law of Motion)
Dr. Nikos J. Mourtos AE 160 / ME 111 Momentum (Newton s nd Law of Motion) Case 3 Airfoil Drag A very important application of Momentum in aerodynamics and hydrodynamics is the calculation of the drag of
More informationChapter 3 NATURAL CONVECTION
Fundamentals of ThermalFluid Sciences, 3rd Edition Yunus A. Cengel, Robert H. Turner, John M. Cimbala McGrawHill, 2008 Chapter 3 NATURAL CONVECTION Mehmet Kanoglu Copyright The McGrawHill Companies,
More informationIf a stream of uniform velocity flows into a blunt body, the stream lines take a pattern similar to this: Streamlines around a blunt body
Venturimeter & Orificemeter ELEMENTARY HYDRAULICS National Certificate in Technology (Civil Engineering) Chapter 5 Applications of the Bernoulli Equation The Bernoulli equation can be applied to a great
More informationCircle on your answer sheet the ranking choice below that correctly ranks the situation above:
For questions 15, use the information provided to rank the situations according to the instructions given. Remember that if two choices have the same rank that will be shown that with an equals sign.
More information1. FBD at lowest point: F = ma c T mg = mv 2 /r T = mg + mv 2 /r = 10* *36/2 = = 280 N. Choice F
Instructions: Record your answers on the bubble sheet. The Testing Center no longer allows students to see which problems they got right & wrong, so I strongly encourage you to mark your answers in this
More information1 A car moves around a circular path of a constant radius at a constant speed. Which of the following statements is true?
Slide 1 / 30 1 car moves around a circular path of a constant radius at a constant speed. Which of the following statements is true? The car s velocity is constant The car s acceleration is constant The
More informationUpthrust and Archimedes Principle
1 Upthrust and Archimedes Principle Objects immersed in fluids, experience a force which tends to push them towards the surface of the liquid. This force is called upthrust and it depends on the density
More information