Steven Burian Civil & Environmental Engineering March 27, 2015


 Bethany Daniels
 2 years ago
 Views:
Transcription
1 Fundamentals of Engineering (FE) Exam Mechanics Steven Burian Civil & Environmental Engineering March 27, 2015
2 s and FE Morning ( Mechanics) A. Flow measurement 7% of FE Morning B. properties Session C. statics D. impulse, and momentum equations E. Pipe and other internal flow Afternoon (Depends on Discipline) A. Bernoulli equation and mechanical energy balance B. Hydrostatic pressure C. Dimensionless numbers (e.g., Reynolds Number) D. Laminar and turbulent flow E. Velocity head F. Friction losses (e.g., pipes, valves, fittings) G. Pipe networks H. Compressible and incompressible flow I. Flow measurement (e.g., orifices, Venturi meters) J. Pumps, turbines, and compressors K. NonNewtonian flow L. Flow through packed beds Up to 15% of FE Afternoon Session
3
4
5 FE s Statics s s  substances in liquid or gas phase s cannot support shear; they deform continuously to minimize applied shear forces
6 FE s Statics
7
8 FE s Statics Viscosity Shear stress ( ): force required to slide one unit area layer of a substance over another Viscosity ( ): measure of a fluid s resistance to flow when acted upon by an external force (i.e., ease with which a fluid pours) As a fluid moves a shear stress is developed in it; magnitude is dependent on viscosity of fluid
9 FE s Statics F/A is the fluid shear stress ( ) and the constant of proportionality is the absolute viscosity ( ): du dy Newtonian fluids: strains are proportional to the applied shear stress NonNewtonian fluids: fluid shear stress can be computed using the power law The kinematic viscosity is the ratio of the absolute viscosity to mass density:
10 FE s Statics
11
12 FE s Statics Surface Tension skin that seems to form on free surface of a fluid; caused by intermolecular cohesive forces and is known as surface tension, Surface tension  tensile force between two points a unit distance apart on the surface
13 FE s Statics Capillarity Capillary action: caused by surface tension between liquid and a vertical solid surface Adhesive forces between liquid molecules and surface > cohesive forces between liquid molecules; in water, adhesive forces cause fluid to attach itself to and climb solid vertical surface
14
15 FE s Pressure Statics Hydrostatic pressure: pressure of fluid on immersed object or container walls Pressure = force per unit area of surface: P F A
16 FE s Statics Pressure Gage pressure: measured relative to a reference pressure  typically local atmospheric pressure Absolute pressure: measured relative to a perfect vacuum Absolute, gage, and atmospheric pressure are related as follows: P abs = P gage + P atm
17 FE s Pressure Statics P 1 gage P 1 abs P 2 abs P 2 gage Munson et al. (2002)
18
19 FE s Hydrostatic Pressure Statics P = change in pressure = specific weight of fluid h = change in depth in fluid P = h ***Incompressible fluid at rest
20
21 FE s Statics Manometry Measure pressure or pressure differences Differential manometers: both ends connected to pressure sources Open manometers: one end open to the atmosphere
22 FE s Barometers Statics
23
24 FE s Buoyancy Statics Buoyant force = weight of fluid displaced and is directed vertically upward (Archimedes Principle): F b = V d where F b = buoyant force = specific weight of fluid V d = displaced volume of fluid
25 FE s Displaced Volume Statics Displaced volume
26 FE s Statics Solving Buoyancy Problems If object at rest in fluid, then use equation of static equilibrium in vertical direction, F y = 0 Buoyant force passes vertically through centroid of displaced volume; called the center of buoyancy.
27
28 FE s Forces on Surfaces Statics Pressure on horizontal plane is uniform over surface Resultant force of pressure distribution acts through center of pressure of surface and is: R PA R = resultant vertical force P = pressure on horizontal surface A = area of submerged horizontal surface
29 FE s Forces on Surfaces Statics
30 FE s Statics Forces on Surfaces Free Surface O h C h y y c x R df y R A da R P avg A h c A y y R I Ay xc c y c Centroid, c Center of Pressure, CP x R I xyc Ay c x c
31
32 FE s Statics Laminar and Turbulent Flow Laminar Flow: Relatively low velocities No mixing or a very small degree of mixing appears to flow in continuous layers with no interaction between the layers Turbulent Flow: Relatively high velocities High degree of mixing motion appears chaotic
33 FE s Flow Distribution Statics
34 FE s Reynolds Number Statics
35 FE s Statics Reynolds Number Circular Pipe Flow Re < 2000 laminar flow 2000 < Re < 4000 transition region Re > 4000 turbulent flow Open Channel Re < 500 laminar flow 500 < Re < 2000 transition region Re > 2000 turbulent flow
36
37
38 FE s OneDimensional Flows Statics
39 FE s Bernoulli Equation Statics
40
41
42
43 FE s Mechanical Energy Equation Statics
44 FE s Friction Loss Statics Valid for laminar and turbulent flow
45 FE s Moody Chart Statics
46 FE s Minor Loss Statics
47
48
49 FE s HGL and EGL Statics
50 FE s Statics HGL and EGL Velocity Head (v 2 /2g) Pressure Head (P/ ) Total Head or Energy Grade Line (EGL) Hydraulic Grade Line HGL Elevation Head (z) Z = 0
51
52 FE s Statics PumpTurbines Net head added to system by mechanical device 2 P v P 1 z 1 h h 2 z 1 s L 2 2g v 2 2 2g
53
54 FE s Open Channel & Pipe Flow Statics
55
56 FE s Impulse Statics
57 FE s Impulse Statics F x Q 2 2 v 2x Q 1 1 v 1x F y Q 2 2 v 2y Q 1 1 v 1y F z Q 2 2 v 2z Q 1 1 v 1z Sum of the external forces Net rate of momentum entering control volume
58
59 FE s Pipe Networks Statics
60
61 Good Luck!!! Steve Burian Department of Civil & Environmental Engineering
These 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 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 informationApplied Fluid Mechanics
Applied Fluid Mechanics Sixth Edition Robert L. Mott University of Dayton PEARSON Prentkv Pearson Education International CHAPTER 1 THE NATURE OF FLUIDS AND THE STUDY OF FLUID MECHANICS 1.1 The Big Picture
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 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 informationINTRODUCTION TO FLUID MECHANICS
INTRODUCTION TO FLUID MECHANICS SIXTH EDITION ROBERT W. FOX Purdue University ALAN T. MCDONALD Purdue University PHILIP J. PRITCHARD Manhattan College JOHN WILEY & SONS, INC. CONTENTS CHAPTER 1 INTRODUCTION
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 information1. Introduction, fluid properties (1.1, and handouts)
1. Introduction, fluid properties (1.1, and handouts) Introduction, general information Course overview Fluids as a continuum Density Compressibility Viscosity Exercises: A1 Applications of fluid mechanics
More informationdu u U 0 U dy y b 0 b
BASIC CONCEPTS/DEFINITIONS OF FLUID MECHANICS (by Marios M. Fyrillas) 1. Density (πυκνότητα) Symbol: 3 Units of measure: kg / m Equation: m ( m mass, V volume) V. Pressure (πίεση) Alternative definition:
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 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 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 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 information4.What is the appropriate dimensionless parameter to use in comparing flow types? YOUR ANSWER: The Reynolds Number, Re.
CHAPTER 08 1. What is most likely to be the main driving force in pipe flow? A. Gravity B. A pressure gradient C. Vacuum 2.What is a general description of the flow rate in laminar flow? A. Small B. Large
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 informationOpen channel flow Basic principle
Open channel flow Basic principle INTRODUCTION Flow in rivers, irrigation canals, drainage ditches and aqueducts are some examples for open channel flow. These flows occur with a free surface and the pressure
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 informationHigher Technological Institute Civil Engineering Department. Lectures of. Fluid Mechanics. Dr. Amir M. Mobasher
Higher Technological Institute Civil Engineering Department Lectures of Fluid Mechanics Dr. Amir M. Mobasher 1/14/2013 Fluid Mechanics Dr. Amir Mobasher Department of Civil Engineering Faculty of Engineering
More informationA drop forms when liquid is forced out of a small tube. The shape of the drop is determined by a balance of pressure, gravity, and surface tension
A drop forms when liquid is forced out of a small tube. The shape of the drop is determined by a balance of pressure, gravity, and surface tension forces. 2 Objectives Have a working knowledge of the basic
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 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 informationChapter 5 MASS, BERNOULLI AND ENERGY EQUATIONS
Fluid Mechanics: Fundamentals and Applications, 2nd Edition Yunus A. Cengel, John M. Cimbala McGrawHill, 2010 Chapter 5 MASS, BERNOULLI AND ENERGY EQUATIONS Lecture slides by Hasan Hacışevki Copyright
More informationChapter 3. Table of Contents. Chapter 3. Objectives. Chapter 3. Kinetic Theory. Section 1 Matter and Energy. Section 2 Fluids
States of Matter Table of Contents Objectives Summarize the main points of the kinetic theory of matter. Describe how temperature relates to kinetic energy. Describe four common states of matter. List
More informationDistinguished Professor George Washington University. Graw Hill
Mechanics of Fluids Fourth Edition Irving H. Shames Distinguished Professor George Washington University Graw Hill Boston Burr Ridge, IL Dubuque, IA Madison, Wl New York San Francisco St. Louis Bangkok
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 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 informationUrban Hydraulics. 2.1 Basic Fluid Mechanics
Urban Hydraulics Learning objectives: After completing this section, the student should understand basic concepts of fluid flow and how to analyze conduit flows and free surface flows. They should be able
More informationFLUID DYNAMICS. Intrinsic properties of fluids. Fluids behavior under various conditions
FLUID DYNAMICS Intrinsic properties of fluids Fluids behavior under various conditions Methods by which we can manipulate and utilize the fluids to produce desired results TYPES OF FLUID FLOW Laminar or
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 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 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 7. General Energy Equation
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 informationp atmospheric Statics : Pressure Hydrostatic Pressure: linear change in pressure with depth Measure depth, h, from free surface Pressure Head p gh
IVE1400: n Introduction to Fluid Mechanics Statics : Pressure : Statics r P Sleigh: P..Sleigh@leeds.ac.uk r J Noakes:.J.Noakes@leeds.ac.uk January 008 Module web site: www.efm.leeds.ac.uk/ive/fluidslevel1
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 informationKinetic Theory. Bellringer. Kinetic Theory, continued. Visual Concept: Kinetic Molecular Theory. States of Matter, continued.
Bellringer You are already familiar with the most common states of matter: solid, liquid, and gas. For example you can see solid ice and liquid water. You cannot see water vapor, but you can feel it in
More informationPhysics 1114: Unit 6 Homework: Answers
Physics 1114: Unit 6 Homework: Answers Problem set 1 1. A rod 4.2 m long and 0.50 cm 2 in crosssectional area is stretched 0.20 cm under a tension of 12,000 N. a) The stress is the Force (1.2 10 4 N)
More informationFor Water to Move a driving force is needed
RECALL FIRST CLASS: Q K Head Difference Area Distance between Heads Q 0.01 cm 0.19 m 6cm 0.75cm 1 liter 86400sec 1.17 liter ~ 1 liter sec 0.63 m 1000cm 3 day day day constant head 0.4 m 0.1 m FINE SAND
More informationChapter 3: Pressure and Fluid Statics
Pressure Pressure is defined as a normal force exerted by a fluid per unit area. Units of pressure are N/m 2, which is called a pascal (Pa). Since the unit Pa is too small for pressures encountered in
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 informationChapter 27 Static Fluids
Chapter 27 Static Fluids 27.1 Introduction... 1 27.2 Density... 1 27.3 Pressure in a Fluid... 2 27.4 Pascal s Law: Pressure as a Function of Depth in a Fluid of Uniform Density in a Uniform Gravitational
More informationoil liquid water water liquid Answer, Key Homework 2 David McIntyre 1
Answer, Key Homework 2 David McIntyre 1 This printout should have 14 questions, check that it is complete. Multiplechoice questions may continue on the next column or page: find all choices before making
More informationME19b. SOLUTIONS. Feb. 11, 2010. Due Feb. 18
ME19b. SOLTIONS. Feb. 11, 21. Due Feb. 18 PROBLEM B14 Consider the long thin racing boats used in competitive rowing events. Assume that the major component of resistance to motion is the skin friction
More informationOpen Channel Flow. M. Siavashi. School of Mechanical Engineering Iran University of Science and Technology
M. Siavashi School of Mechanical Engineering Iran University of Science and Technology W ebpage: webpages.iust.ac.ir/msiavashi Email: msiavashi@iust.ac.ir Landline: +98 21 77240391 Fall 2013 Introduction
More informationFLUID FLOW Introduction General Description
FLUID FLOW Introduction Fluid flow is an important part of many processes, including transporting materials from one point to another, mixing of materials, and chemical reactions. In this experiment, you
More informationLecture 6  Boundary Conditions. Applied Computational Fluid Dynamics
Lecture 6  Boundary Conditions Applied Computational Fluid Dynamics Instructor: André Bakker http://www.bakker.org André Bakker (20022006) Fluent Inc. (2002) 1 Outline Overview. Inlet and outlet boundaries.
More informationVatten(byggnad) VVR145 Vatten. 2. Vätskors egenskaper (1.1, 4.1 och 2.8) (Föreläsningsanteckningar)
Vatten(byggnad) Vätskors egenskaper (1) Hydrostatik (3) Grundläggande ekvationer (5) Rörströmning (4) 2. Vätskors egenskaper (1.1, 4.1 och 2.8) (Föreläsningsanteckningar) Vätska som kontinuerligt medium
More informationFundamentals of THERMALFLUID SCIENCES
Fundamentals of THERMALFLUID SCIENCES THIRD EDITION YUNUS A. CENGEL ROBERT H. TURNER Department of Mechanical JOHN M. CIMBALA Me Graw Hill Higher Education Boston Burr Ridge, IL Dubuque, IA Madison, Wl
More informationScalars, Vectors and Tensors
Scalars, Vectors and Tensors A scalar is a physical quantity that it represented by a dimensional number at a particular point in space and time. Examples are hydrostatic pressure and temperature. A vector
More informationDensity. Density is how concentrated or compact matter is.
Density Density is how concentrated or compact matter is. Packing snow into snowballs increases its density. You are squeezing large amounts of matter into small volumes of space. Equation for Density
More informationChapter 13  Solutions
= Chapter 13  Solutions Description: Find the weight of a cylindrical iron rod given its area and length and the density of iron. Part A On a parttime job you are asked to bring a cylindrical iron rod
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 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 informationStudents Manual for the Exam
Students Manual for the Exam General Engineering and Mechanical Engineering Discipline  March 2014  COPYRIGHT NOTICE COPYRIGHTS 2013 NATIONAL CENTER FOR ASSESSMENT IN HIGHER EDUCATION (QIYAS) UNLESS
More informationChapter 8: Flow in Pipes
Objectives 1. Have a deeper understanding of laminar and turbulent flow in pipes and the analysis of fully developed flow 2. Calculate the major and minor losses associated with pipe flow in piping networks
More informationForces. Definition Friction Falling Objects Projectiles Newton s Laws of Motion Momentum Universal Forces Fluid Pressure Hydraulics Buoyancy
Forces Definition Friction Falling Objects Projectiles Newton s Laws of Motion Momentum Universal Forces Fluid Pressure Hydraulics Buoyancy Definition of Force Force = a push or pull that causes a change
More informationFluent Software Training TRN Boundary Conditions. Fluent Inc. 2/20/01
Boundary Conditions C1 Overview Inlet and Outlet Boundaries Velocity Outline Profiles Turbulence Parameters Pressure Boundaries and others... Wall, Symmetry, Periodic and Axis Boundaries Internal Cell
More informationRheological Properties of Topical Formulations
Rheological Properties of Topical Formulations Hemi Nae, PhD Hydan Technologies, Inc. Key Words Complex Modulus, Creep/Recovery, Dilatant Flow, Dynamic Viscosity, Flow, Flow Curve, Flow Models, Frequency
More information2.016 Hydrodynamics Reading #2. 2.016 Hydrodynamics Prof. A.H. Techet
Pressure effects 2.016 Hydrodynamics Prof. A.H. Techet Fluid forces can arise due to flow stresses (pressure and viscous shear), gravity forces, fluid acceleration, or other body forces. For now, let us
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 informationPractice Problems on the NavierStokes Equations
ns_0 A viscous, incompressible, Newtonian liquid flows in stead, laminar, planar flow down a vertical wall. The thickness,, of the liquid film remains constant. Since the liquid free surface is eposed
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 informationGrade 8 Science Chapter 9 Notes
Grade 8 Science Chapter 9 Notes Force Force  Anything that causes a change in the motion of an object.  usually a push or a pull.  the unit for force is the Newton (N). Balanced Forces  forces that
More informationChapter 2. Derivation of the Equations of Open Channel Flow. 2.1 General Considerations
Chapter 2. Derivation of the Equations of Open Channel Flow 2.1 General Considerations Of interest is water flowing in a channel with a free surface, which is usually referred to as open channel flow.
More informationChapter 13 OPENCHANNEL FLOW
Fluid Mechanics: Fundamentals and Applications, 2nd Edition Yunus A. Cengel, John M. Cimbala McGrawHill, 2010 Lecture slides by Mehmet Kanoglu Copyright The McGrawHill Companies, Inc. Permission required
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 informationCHAPTER 3: FORCES AND PRESSURE
CHAPTER 3: FORCES AND PRESSURE 3.1 UNDERSTANDING PRESSURE 1. The pressure acting on a surface is defined as.. force per unit. area on the surface. 2. Pressure, P = F A 3. Unit for pressure is. Nm 2 or
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 informationChapter 8 Fluid Flow
Chapter 8 Fluid Flow GOALS When you have mastered the contents of this chapter, you will be able to achieve the following goals: Definitions Define each of the following terms, and use it in an operational
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 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 informationPractice Problems on Boundary Layers. Answer(s): D = 107 N D = 152 N. C. Wassgren, Purdue University Page 1 of 17 Last Updated: 2010 Nov 22
BL_01 A thin flat plate 55 by 110 cm is immersed in a 6 m/s stream of SAE 10 oil at 20 C. Compute the total skin friction drag if the stream is parallel to (a) the long side and (b) the short side. D =
More informationMichael Montgomery Marketing Product Manager Rosemount Inc. Russ Evans Manager of Engineering and Design Rosemount Inc.
ASGMT / Averaging Pitot Tube Flow Measurement Michael Montgomery Marketing Product Manager Rosemount Inc. Russ Evans Manager of Engineering and Design Rosemount Inc. Averaging Pitot Tube Meters Introduction
More informationChapter 28 Fluid Dynamics
Chapter 28 Fluid Dynamics 28.1 Ideal Fluids... 1 28.2 Velocity Vector Field... 1 28.3 Mass Continuity Equation... 3 28.4 Bernoulli s Principle... 4 28.5 Worked Examples: Bernoulli s Equation... 7 Example
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 informationPressure drop in pipes...
Pressure drop in pipes... PRESSURE DROP CALCULATIONS Pressure drop or head loss, occurs in all piping systems because of elevation changes, turbulence caused by abrupt changes in direction, and friction
More informationChapter 3 Process Variables. Mass and Volume
Chapter 3 Process Variables Process: to a chemical engineer, the set of tasks or operations that accomplish a chemical or material transformation to produce a product Feed or inputs: raw materials and
More informationBasic Equations, Boundary Conditions and Dimensionless Parameters
Chapter 2 Basic Equations, Boundary Conditions and Dimensionless Parameters In the foregoing chapter, many basic concepts related to the present investigation and the associated literature survey were
More informationFIGURE P8 50E FIGURE P8 62. Minor Losses
8 48 Glycerin at 40 C with r 1252 kg/m 3 and m 0.27 kg/m s is flowing through a 4cmdiameter horizontal smooth pipe with an average velocity of 3.5 m/s. Determine the pressure drop per 10 m of the pipe.
More informationHead Loss in Pipe Flow ME 123: Mechanical Engineering Laboratory II: Fluids
Head Loss in Pipe Flow ME 123: Mechanical Engineering Laboratory II: Fluids Dr. J. M. Meyers Dr. D. G. Fletcher Dr. Y. Dubief 1. Introduction Last lab you investigated flow loss in a pipe due to the roughness
More informationBasic Concepts of Thermodynamics
Basic Concepts of Thermodynamics Every science has its own unique vocabulary associated with it. recise definition of basic concepts forms a sound foundation for development of a science and prevents possible
More informationPascal s Principle. Any change in the pressure of a fluid is transmitted uniformly in all directions throughout the fluid.
Pascal s Principle What happens inside a fluid when pressure is exerted on it? Does pressure have a direction? Does it transmit a force to the walls or bottom of a container? Any change in the pressure
More informationDensity (r) Chapter 10 Fluids. Pressure 1/13/2015
1/13/015 Density (r) Chapter 10 Fluids r = mass/volume Rho ( r) Greek letter for density Units  kg/m 3 Specific Gravity = Density of substance Density of water (4 o C) Unitless ratio Ex: Lead has a sp.
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 informationChapter 10. Flow Rate. Flow Rate. Flow Measurements. The velocity of the flow is described at any
Chapter 10 Flow Measurements Material from Theory and Design for Mechanical Measurements; Figliola, Third Edition Flow Rate Flow rate can be expressed in terms of volume flow rate (volume/time) or mass
More informationMercury is poured into a Utube as in Figure (14.18a). The left arm of the tube has crosssectional
Chapter 14 Fluid Mechanics. Solutions of Selected Problems 14.1 Problem 14.18 (In the text book) Mercury is poured into a Utube as in Figure (14.18a). The left arm of the tube has crosssectional area
More information1 Fundamentals of. openchannel flow 1.1 GEOMETRIC ELEMENTS OF OPEN CHANNELS
1 Fundamentals of openchannel flow Open channels are natural or manmade conveyance structures that normally have an open top, and they include rivers, streams and estuaries. n important characteristic
More informationNotes on Polymer Rheology Outline
1 Why is rheology important? Examples of its importance Summary of important variables Description of the flow equations Flow regimes  laminar vs. turbulent  Reynolds number  definition of viscosity
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 information9. Hydrostatik I (1.2 1.5)
9. Hydrostatik I (1.2 1.5) Vätsketryck, tryckdensitethöjd Tryck mot plana ytor Övningstal: H10 och H12 HYDROSTATICS Hydrostatics: Study of fluids (water) at rest No motion no shear stress viscosity nonsignificant
More informationUNIT Engineering: Measurement Technology Flow (SCQF level 6)
National Unit Specification: general information CODE H0W6 12 SUMMARY This Unit can be delivered as part of a National Qualification Group Award but can also be taken as a freestanding Unit. This Unit
More informationجامعة البلقاء التطبيقية
AlBalqa Applied University تا سست عام 997 The curriculum of associate degree in Air Conditioning, Refrigeration and Heating Systems consists of (7 credit hours) as follows: Serial No. Requirements First
More informationCHE 253M Experiment No. 3 LIQUID FLOW MEASUREMENT
Rev 8/15 AW/GW CHE 253M Experiment No. 3 LIQUID FLOW MEASUREMENT The objective of this experiment is to familiarize the student with several types of flowmeasuring devices commonly used in the laboratory
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 informationWrite True or False in the space provided.
CP Physics  Exam #7 Practice Name: _ Class: Date: Write True or False in the space provided. 1) Pressure at the bottom of a lake depends on the weight density of the lake water and on the volume of the
More informationOPENCHANNEL FLOW. Free surface. P atm
OPENCHANNEL FLOW Openchannel flow is a flow of liquid (basically water) in a conduit with a free surface. That is a surface on which pressure is equal to local atmospheric pressure. P atm Free surface
More information2.0 BASIC CONCEPTS OF OPEN CHANNEL FLOW MEASUREMENT
2.0 BASIC CONCEPTS OF OPEN CHANNEL FLOW MEASUREMENT Open channel flow is defined as flow in any channel where the liquid flows with a free surface. Open channel flow is not under pressure; gravity is the
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 informationLecture 2 PROPERTIES OF FLUID
Lecture 2 PROPERTIES OF FLUID Learning Objectives Upon completion of this chapter, the student should be able to: Define three states of matter: Solid, liquid and gas. Define mass density, specific weight
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 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 information