2 Objectives Conservation of mass principle: Mass Equation The Bernoulli equation Conservation of energy principle: Energy equation
3 Conservation of Mass Conservation of Mass Mass, like energy, is a conserved property, and it cannot be created or destroyed during a process. For closed systems, the conservation of mass principle is implicitly used by requiring that the mass of the system remain constant during a process. For control volumes, however, mass can cross the boundaries, and so we must keep track of the amount of mass entering and leaving the control volume.
4 Conservation of Mass The amount of mass flowing through a cross section per unit time: mass flow rate ( )
5 Conservation of Mass for incompressible flow: Ac: cross-sectional area normal to the flow direction
6 Conservation of Mass The volume of the fluid flowing through a cross section per unit time: volume flow rate ( )
7 Objectives Conservation of Mass Principle change in the mass of the control volume during the process: It can also be expressed in rate form: often referred to as the mass balance and are applicable to any control volume undergoing any kind of process
8 Conservation of Mass It can also be expressed in rate form Consider a control volume of arbitrary shape: Mass of a differential volume dv within the control volume is:
9 Conservation of Mass Total mass within the control volume at any instant in time t: Rate of change of mass within the CV:
10 Conservation of Mass considered.
11 Conservation of Mass The time rate of change of mass within the control volume plus the net mass flow rate through the control surface is equal to zero. Other forms of mass conservation principle:
12 Conservation of Mass A simple rule in selecting a control volume is to make the control surface normal to flow at all locations where it crosses fluid flow, whenever possible.
13 Conservation of Mass Moving Control Volumes valid for moving or deforming control volumes provided that the absolute velocity is replaced by the relative velocity, which is the fluid velocity relative to the control surface. In the case of a nondeforming control volume, relative velocity is the fluid velocity observed by a person moving with the control volume
14 Conservation of Mass Deforming Control Volumes Some practical problems (such as the injection of medication through the needle of a syringe by the forced motion of the plunger) involve deforming control volumes.
15 Conservation of Mass The general conservation of mass relation for a control volume can also be derived using the Reynolds transport theorem (RTT) by taking the property B to be the mass m. Mass of a system is constant.
16 Conservation of Mass Mass Balance for Steady-Flow Processes During a steady-flow process, the total amount of mass contained within a control volume does not change with time. the total amount of mass entering a control volume is equal the total amount of mass leaving it PER unit time. Conservation of mass principle for a general steady-flow system with multiple inlets and outlets:
17 Conservation of Mass Many engineering devices such as nozzles, diffusers, turbines, compressors, and pumps involve a single stream (only one inlet and one outlet) single-stream steady-flow systems
18 Conservation of Mass Incompressible Flow The conservation of mass relations can be simplified even further when the fluid is incompressible, which is usually the case for liquids. Steady incompressible flow (single-stream) Conservation of Volume Principle
19 Conservation of Mass
20 Conservation of Mass
21 Conservation of Mass
22 Conservation of Mass
23 Conservation of Mass
24 Mechanical Energy Mechanical Energy A pump transfers mechanical energy to a fluid by raising its pressure, & a turbine extracts mechanical energy from a fluid by dropping its pressure. mechanical energy of a flowing fluid PER unit-mass:
25 Mechanical Energy mechanical energy change of a fluid during incompressible flow: mechanical energy of a fluid does not change during flow if its pressure, density, velocity, and elevation remain constant.
26 Mechanical Energy An ideal hydraulic turbine would produce the same work per unit mass whether it receives water (or any other fluid with constant density) from the top or from the bottom of the container. ideal flow (no irreversible losses)
27 Bernoulli Equation Note that we are also assuming through the pipe leading from the tank to the turbine. Therefore, the total mechanical energy of water at the bottom is equivalent to that at the top. Bernoulli Equation The Bernoulli equation is an approximate relation between pressure, velocity, and elevation, and is valid in regions of steady, incompressible flow where net frictional forces are negligible. Derive by applying: conservation of linear momentum principle
28 Bernoulli Equation Bernoulli Equation key approximation in the derivation of the Bernoulli equation: Viscous effects are negligibly small compared to inertial, gravitational, and pressure effects: Inviscid Fluid Pressure Velocity Elevation
29 Bernoulli Equation
30 Bernoulli Equation Derivation of the Bernoulli Equation Derive Bernoulli equation? Steady Flow Consider the motion of a fluid particle in a flow field in steady flow:
31 Bernoulli Equation
32 Bernoulli Equation
33 Bernoulli Equation Bernoulli equation, which is commonly used in fluid mechanics for steady, incompressible flow along a streamline in inviscid flow: between any two points on the same streamline as
34 Bernoulli Equation Bernoulli equation: mechanical energy balance The sum of the kinetic, potential, and flow energies of a fluid particle is constant along a streamline during steady flow when the compressibility and frictional effects are negligible.
35 Bernoulli Equation Static, Dynamic, and Stagnation Pressures P: Static pressure/ Thermodynamic pressure of the fluid : Dynamic pressure; it represents the pressure rise when the fluid in motion is brought to a stop isentropically. : hydrostatic pressure, which is not pressure in a real sense since its value depends on the reference level selected; it accounts for the elevation effects, i.e., of fluid weight on pressure.
36 Bernoulli Equation
37 Bernoulli Equation The sum of the static and dynamic pressures is called the stagnation pressure, The stagnation pressure represents the pressure at a point where the fluid is brought to a complete stop isentropically. Fluid velocity at stagnation point:
38 Bernoulli Equation The flow streamline that extends from far upstream to the stagnation point is called the stagnation streamline.
39 Bernoulli Equation Steady Flow Frictionless flow No heat transfer (density variation) Incompressible flow Flow along a streamline
40 HGL & EGL Hydraulic Grade Line (HGL) & Energy Grade Line (EGL) : pressure head; it represents the height of a fluid column that produces the static pressure P : velocity head : elevation head H is the total head for the flow
41 HGL & EGL If a piezometer (measures static pressure) is tapped into a pipe, the liquid would rise to a height of above the pipe center. The hydraulic grade line (HGL) is obtained by doing this at several locations along the pipe and drawing a line through the liquid levels in the piezometers.
42 HGL & EGL if a Pitot tube (measures static+dynamic pressure) is tapped into a pipe, the liquid would rise to a height of distance of above the HGL. + above the pipe center, or a The energy grade line (EGL) is obtained by doing this at several locations along the pipe and drawing a line through the liquid levels in the Pitot tubes.
43 HGL & EGL
44 HGL & EGL Noting that the fluid also has elevation head z (unless the reference level is taken to be the centerline of the pipe), the HGL and EGL can be defined as follows: The line that represents the sum of the static pressure and the elevation heads, +, is called the HGL. The line that represents the total head of the fluid, the energy grade line. + +,is called The difference between the heights of EGL and HGL is equal to the dynamic head,.
45 HGL & EGL For stationary bodies such as reservoirs or lakes, the EGL and HGL coincide with the free surface of the liquid. The EGL is always a distance above the HGL. These two lines approach each other as the velocity decreases, and they diverge as the velocity increases. In an idealized Bernoulli-type flow, EGL is horizontal and its height remains constant. This would also be the case for HGL when the flow velocity is constant.
46 Bernoulli Equation
47 Bernoulli Equation
48 Bernoulli Equation
49 Bernoulli Equation
50 Bernoulli Equation
51 Bernoulli Equation
52 Bernoulli Equation
53 Bernoulli Equation
54 Bernoulli Equation
55 General Energy Equation General Energy Equation first law of thermodynamics, also known as the conservation of energy principle. total energy consists of internal, kinetic, and potential energies
56 General Energy Equation Energy Transfer by Heat, Q Transfer of thermal energy from one system to another as a result of a temperature difference is called heat transfer. A process during which there is no heat transfer is called an adiabatic process. There are two ways a process can be adiabatic: Either the system is well insulated so that only a negligible amount of heat can pass through the system boundary, or both the system and the surroundings are at the same temperature and therefore there is no driving force (temperature difference) for heat transfer.
57 General Energy Equation Energy Transfer by Work, W An energy interaction is work if it is associated with a force acting through a distance. The time rate of doing work is called power: A system may involve numerous forms of work, and the total work can be expressed as:
58 General Energy Equation Shaft Work Many flow systems involve a machine such as a pump, a turbine, a fan, or a compressor whose shaft protrudes through the control surface, and the work transfer associated with all such devices is simply referred to as shaft work. The power transmitted via a rotating shaft:
59 General Energy Equation Work Done by Pressure Forces: Flow Work piston-cylinder devices:
60 General Energy Equation Pressure always acts inward and normal to the surface;
61 General Energy Equation For a closed system:
62 General Energy Equation
63 General Energy Equation
64 General Energy Equation In the case of a deforming control volume:
65 General Energy Equation For a fixed control volume (no motion or deformation of control volume) This equation is not in a convenient form for solving practical engineering problems because of the integrals, and thus it is desirable to rewrite it in terms of average velocities and mass flow rates through inlets and outlets. Approximated by:
66 General Energy Equation Or: Used definition of enthalpy: general expressions of conservation of energy, but their use is still limited to fixed control volumes, uniform flow at inlets and outlets, and negligible work due to viscous forces and other effects. Also, the subscript net in stands for net input, and thus any heat or work transfer is positive if to the system and negative if from the system.
67 General Energy Equation Energy Analysis of Steady Flows For steady flows, the time rate of change of the energy content of the control volume is zero, for such single-stream devices:
68 General Energy Equation
69 General Energy Equation unit-mass basis: mechanical energy input mechanical energy output If the flow is ideal with no irreversibilities such as friction, the total mechanical energy must be conserved,
70 General Energy Equation For single-phase fluids (a gas or a liquid):
71 General Energy Equation
72 General Energy Equation Multiplying by the mass flow rate: frictional losses in the piping network)
73 General Energy Equation Thus the energy equation can be expressed in its most common form in terms of heads as: useful head delivered to the fluid by the pump
74 General Energy Equation extracted head removed from the fluid by the turbine. due to all components of the piping system other than the pump or turbine. represents the frictional losses associated with fluid flow in piping, and it does not include the losses that occur within the pump or turbine due to the inefficiencies of these devices.
75 General Energy Equation Special Case: Incompressible Flow with No Mechanical Work Devices and Negligible Friction which is the Bernoulli equation derived earlier using Newton s second law of motion.
76 General Energy Equation Kinetic Energy Correction Factor The kinetic energy correction factors are often ignored (i.e., a is set equal to 1) in an elementary analysis since (1) most flows encountered in practice are turbulent, for which the correction factor is near unity, and
77 General Energy Equation (2) the kinetic energy terms are often small relative to the other terms in the energy equation, and multiplying them by a factor less than 2.0 does not make much difference.
4-1Conservation of Mass Principle Consider a control volume of arbitrary shape, as shown in Fig (4-1). Figure (4-1): the differential control volume and differential control volume (Total mass entering
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
Chapter 5: Mass, Bernoulli, and Energy Equations Introduction This chapter deals with 3 equations commonly used in fluid mechanics The mass equation is an expression of the conservation of mass principle.
Chapter 7 The Energy Equation 7.1 Energy, Work, and Power When matter has energy, the matter can be used to do work. A fluid can have several forms of energy. For example a fluid jet has kinetic energy,
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
Basic Fluid Mechanics Chapter 5: Application of Bernoulli Equation 4/16/2018 C5: Application of Bernoulli Equation 1 5.1 Introduction In this chapter we will show that the equation of motion of a particle
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
CEE 3310 Control Volume Analysis, Sep 30, 2011 65 Review Conservation of angular momentum 1-D form ( r F )ext = [ˆ ] ( r v)d + ( r v) out ṁ out ( r v) in ṁ in t CV 3.8 The First Law of Thermodynamics and
CEE 3310 Control Volume Analysis, Oct. 7, 2015 81 3.21 Review 1-D Steady State Head Form of the Energy Equation ( ) ( ) 2g + z = 2g + z h f + h p h s out where h f is the friction head loss (which combines
Angular momentum equation For angular momentum equation, B =H O the angular momentum vector about point O which moments are desired. Where β is The Reynolds transport equation can be written as follows:
CEE 3310 Control Volume Analysis, Oct. 10, 2018 77 3.16 Review First Law of Thermodynamics ( ) de = dt Q Ẇ sys Sign convention: Work done by the surroundings on the system < 0, example, a pump! Work done
Introduction to Chemical Engineering Thermodynamics Chapter 7 1 Thermodynamics of flow is based on mass, energy and entropy balances Fluid mechanics encompasses the above balances and conservation of momentum
CEE 3310 Control Volume Analysis, Oct 3, 2012 83 3.24 Review The Energy Equation Q Ẇshaft = d dt CV ) (û + v2 2 + gz ρ d + (û + v2 CS 2 + gz + ) ρ( v n) da ρ where Q is the heat energy transfer rate, Ẇ
and Energy Equations 5-1 Introduction 5-2 Conservation of Mass 5-3 Mechanical Energy 5-4 General Energy Equation 5-5 Energy Analysis of Steady Flows 5-6 The Bernoulli Equation 5-1 Introduction This chapter
Hydraulic Coefficient & Flow Measurements ELEMENTARY HYDRAULICS National Certificate in Technology (Civil Engineering) Chapter 3 1. Mass flow rate If we want to measure the rate at which water is flowing
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
SYSTEMS VS. CONTROL VOLUMES System (closed system): Predefined mass m, surrounded by a system boundary Control volume CV (open system): Arbitrary geometric space, surrounded by control surfaces (CS) Many
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.
5 ENERGY EQUATION OF FLUID MOTION 5.1 Introduction In order to develop the equations that describe a flow, it is assumed that fluids are subject to certain fundamental laws of physics. The pertinent laws
CLASS Fourth Units (Second part) Energy analysis of closed systems Copyright The McGraw-Hill Companies, Inc. Permission required for reproduction or display. MOVING BOUNDARY WORK Moving boundary work (P
The Energy Equation for Control Volumes Recall, the First Law of Thermodynamics: where = rate of change of total energy of the system, = rate of heat added to the system, = rate of work done by the system
first law of ThermodyNamics First law of thermodynamics - Principle of conservation of energy - Energy can be neither created nor destroyed Basic statement When any closed system is taken through a cycle,
Detailed Outline, M E 320 Fluid Flow, Spring Semester 2015 I. Introduction (Chapters 1 and 2) A. What is Fluid Mechanics? 1. What is a fluid? 2. What is mechanics? B. Classification of Fluid Flows 1. Viscous
Part A: 1 pts each, 10 pts total, no partial credit. 1) (Correct: 1 pt/ Wrong: -3 pts). The sum of static, dynamic, and hydrostatic pressures is constant when flow is steady, irrotational, incompressible,
Chapter Two Basic Thermodynamics, Fluid Mechanics: Definitions of Efficiency Laith Batarseh The equation of continuity Most analyses in this book are limited to one-dimensional steady flows where the velocity
Lecture 8 Bernoulli s Equation: Limitations and Applications Last time, we derived the steady form of Bernoulli s Equation along a streamline p + ρv + ρgz = P t static hydrostatic total pressure q = dynamic
Chapter 6 Using Entropy 1 2 Chapter Objective Means are introduced for analyzing systems from the 2 nd law perspective as they undergo processes that are not necessarily cycles. Objective: introduce entropy
1. Coordinate System Introduction to Turbomachinery Since there are stationary and rotating blades in turbomachines, they tend to form a cylindrical form, represented in three directions; 1. Axial 2. Radial
Chapter 6 INCOMPRESSIBLE INVISCID FLOW All real fluids possess viscosity. However in many flow cases it is reasonable to neglect the effects of viscosity. It is useful to investigate the dynamics of an
Kinematics of Fluid Flow Kinematics is the science which deals with study of motion of liquids without considering the forces causing the motion. Rate of Flow Quantity of fluid passing through any section
CHAPTER 03 1. Write Newton's second law of motion. YOUR ANSWER: F = ma 2.The lines that are tangent to the velocity vectors throughout the flow field are called steady flow lines. True or False 3.Streamwise
Introduction to Fluid Machines, and Compressible Flow Prof. S. K. Som Department of Mechanical Engineering Indian Institute of Technology, Kharagpur Lecture - 09 Introduction to Reaction Type of Hydraulic
Chapter 7 ENTROPY CLAUSIUS INEQUALITY PROOF: In Classroom 2 RESULTS OF CLAUSIUS INEQUALITY For internally reversible cycles δq = 0 T int rev For irreversible cycles δq < 0 T irr A quantity whose cyclic
CHAPTER 3 BASIC EQUATIONS IN FLUID MECHANICS 1 INTRODUCTION Flow often referred as an ideal fluid. We presume that such a fluid has no viscosity. However, this is an idealized situation that does not exist.
Chapter 5 Mass and Energy Analysis of Control Volumes by Asst. Prof. Dr.Woranee Paengjuntuek and Asst. Prof. Dr.Worarattana Pattaraprakorn Reference: Cengel, Yunus A. and Michael A. Boles, Thermodynamics:
Chapter 5 Mass and Energy Analysis of Control Volumes Conservation Principles for Control volumes The conservation of mass and the conservation of energy principles for open systems (or control volumes)
Topic: Fluid Properties 1. If 6 m 3 of oil weighs 47 kn, calculate its specific weight, density, and specific gravity. 2. 10.0 L of an incompressible liquid exert a force of 20 N at the earth s surface.
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
BME-A PREVIOUS YEAR QUESTIONS CREDITS CHANGE ACCHA HAI TEAM UNIT-1 Introduction: Introduction to Thermodynamics, Concepts of systems, control volume, state, properties, equilibrium, quasi-static process,
Turbomachinery Hasan Ozcan Assistant Professor Mechanical Engineering Department Faculty of Engineering Karabuk University Introduction Hasan Ozcan, Ph.D, (Assistant Professor) B.Sc :Erciyes University,
Thermodynamics ENGR360-MEP11 LECTURE 7 Thermodynamics ENGR360/MEP11 Objectives: 1. Conservation of mass principle.. Conservation of energy principle applied to control volumes (first law of thermodynamics).
Chapter (6) Energy Equation and Its Applications Bernoulli Equation Bernoulli equation is one of the most useful equations in fluid mechanics and hydraulics. And it s a statement of the principle of conservation
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
Lecture 3 The energy equation Dr Tim Gough: firstname.lastname@example.org General information Lab groups now assigned Timetable up to week 6 published Is there anyone not yet on the list? Week 3 Week 4 Week 5
The Bernoulli Equation The most used and the most abused equation in fluid mechanics. Newton s Second Law: F = ma In general, most real flows are 3-D, unsteady (x, y, z, t; r,θ, z, t; etc) Let consider
Isentropic Flow Agenda Introduction Derivation Stagnation properties IF in a converging and converging-diverging nozzle Application Introduction Consider a gas in horizontal sealed cylinder with a piston
COURSE NUMBER: ME 321 Fluid Mechanics I 3 credit hour Basic Equations in fluid Dynamics Course teacher Dr. M. Mahbubur Razzaque Professor Department of Mechanical Engineering BUET 1 Description of Fluid
Thermodynamics: An Engineering Approach Seventh Edition Yunus A. Cengel, Michael A. Boles McGraw-Hill, 2011 Chapter 7 ENTROPY Copyright The McGraw-Hill Companies, Inc. Permission required for reproduction
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 of shear stress, but when a fluid flows over
Useful concets associated with the Bernoulli equation - Static, Stagnation, and Dynamic Pressures Bernoulli eq. along a streamline + ρ v + γ z = constant (Unit of Pressure Static (Thermodynamic Dynamic
Two mark questions and answers UNIT I BASIC CONCEPT AND FIRST LAW 1. What do you understand by pure substance? A pure substance is defined as one that is homogeneous and invariable in chemical composition
FLUID MECHANICS Technical English - I 1 th week Fluid Mechanics FLUID STATICS FLUID DYNAMICS Fluid Statics or Hydrostatics is the study of fluids at rest. The main equation required for this is Newton's
William В. Brower, Jr. A PRIMER IN FLUID MECHANICS Dynamics of Flows in One Space Dimension CRC Press Boca Raton London New York Washington, D.C. Table of Contents Chapter 1 Fluid Properties Kinetic Theory
1 st Law Analysis of Control Volume (open system) Chapter 6 In chapter 5, we did 1st law analysis for a control mass (closed system). In this chapter the analysis of the 1st law will be on a control volume
Thermodynamics: An Engineering Approach Seventh Edition in SI Units Yunus A. Cengel, Michael A. Boles McGraw-Hill, 2011 Chapter 7 ENTROPY Mehmet Kanoglu University of Gaziantep Copyright The McGraw-Hill
Energy Equation Entropy equation in Chapter 4: control mass approach The second law of thermodynamics Availability (exergy) The exergy of asystemis the maximum useful work possible during a process that
Introduction to Aerodynamics Dr. Guven Aerospace Engineer (P.hD) Aerodynamic Forces All aerodynamic forces are generated wither through pressure distribution or a shear stress distribution on a body. The
CALIFORNIA POLYTECHNIC STATE UNIVERSITY Mechanical Engineering Department ME 347, Fluid Mechanics II, Winter 2018 Date Day Subject Read HW Sept. 21 F Introduction 1, 2 24 M Finite control volume analysis
Chapter One/Introduction to Compressible Flow Chapter One/Introduction to Compressible Flow 1.1. Introduction In general flow can be subdivided into: i. Ideal and real flow. For ideal (inviscid) flow viscous
The First Law of Thermodynamics By: Yidnekachew Messele It is the law that relates the various forms of energies for system of different types. It is simply the expression of the conservation of energy
ME3560 Tentative Schedule Spring 2019 Week Number Date Lecture Topics Covered Prior to Lecture Read Section Assignment Prep Problems for Prep Probs. Must be Solved by 1 Monday 1/7/2019 1 Introduction to
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
CHAPTER 7 ENTROPY S. I. Abdel-Khalik (2014) 1 ENTROPY The Clausius Inequality The Clausius inequality states that for for all cycles, reversible or irreversible, engines or refrigerators: For internally-reversible
Conservation of Momentum using Control Volumes Conservation of Linear Momentum Recall the conservation of linear momentum law for a system: In order to convert this for use in a control volume, use RTT
ME3560 Tentative Schedule Fall 2018 Week Number 1 Wednesday 8/29/2018 1 Date Lecture Topics Covered Introduction to course, syllabus and class policies. Math Review. Differentiation. Prior to Lecture Read
EXPERIMENT No.1 FLOW MEASUREMENT BY ORIFICEMETER 1.1 AIM: To determine the co-efficient of discharge of the orifice meter 1.2 EQUIPMENTS REQUIRED: Orifice meter test rig, Stopwatch 1.3 PREPARATION 1.3.1
Introduction to Fluid Machines and Compressible Flow Prof. S. K. Som Department of Mechanical Engineering Indian Institute of Technology, Kharagpur Lecture - 21 Centrifugal Compressor Part I Good morning
Faculty Of Engineering at Shobra nd Year Civil - 016 Chapter 4 DYNAMICS OF FLUID FLOW 4-1 Types of Energy 4- Euler s Equation 4-3 Bernoulli s Equation 4-4 Total Energy Line (TEL) and Hydraulic Grade Line
Chapter 17 COMPRESSIBLE FLOW For the most part, we have limited our consideration so far to flows for which density variations and thus compressibility effects are negligible. In this chapter we lift this
An-Najah National University College of Engineering Fluid Mechanics-61341 Chapter  Flow of An Incompressible Fluid Dr. Sameer Shadeed 1 Fluid Mechanics-2nd Semester 2010-  Flow of An Incompressible
Problems of Practices Of Fluid Mechanics Compressible Fluid Flow Prepared By Brij Bhooshan Asst. Professor B. S. A. College of Engg. And Technology Mathura, Uttar Pradesh, (India) Supported By: Purvi Bhooshan
UNIT III FLOW THROUGH PIPES 1. List the types of fluid flow. Steady and unsteady flow Uniform and non-uniform flow Laminar and Turbulent flow Compressible and incompressible flow Rotational and ir-rotational
Turbomachinery & Turbulence. Lecture 2: One dimensional thermodynamics. F. Ravelet Laboratoire DynFluid, Arts et Metiers-ParisTech February 3, 2016 Control volume Global balance equations in open systems
Basic Thermodynamics Prof. S.K. Som Department of Mechanical Engineering Indian Institute of Technology, Kharagpur Lecture 12 Second Law and Available Energy III Good morning. I welcome you to this session.
Introduction NPTEL Quiz Hydraulics 1. An ideal fluid is a. One which obeys Newton s law of viscosity b. Frictionless and incompressible c. Very viscous d. Frictionless and compressible 2. The unit of kinematic
FE Exam Fluids Review October 3, 013 mportant Concepts Density, specific volume, specific weight, specific gravity (Water 1000 kg/m^3, Air 1. kg/m^3) Meaning & Symbols? Stress, Pressure, Viscosity; Meaning
1. The x and y components of velocity for a two-dimensional flow are u = 3.0 ft/s and v = 9.0x ft/s where x is in feet. Determine the equation for the streamlines and graph representative streamlines in
I. (20%) Answer the following True (T) or False (F). If false, explain why for full credit. Both the Kelvin and Fahrenheit scales are absolute temperature scales. Specific volume, v, is an intensive property,
Review of Fundamentals - Fluid Mechanics Introduction Properties of Compressible Fluid Flow Basics of One-Dimensional Gas Dynamics Nozzle Operating Characteristics Characteristics of Shock Wave A gas turbine
Applied Thermodynamics for Marine Systems Prof. P. K. Das Department of Mechanical Engineering Indian Institute of Technology, Kharagpur Lecture No - 03 First Law of Thermodynamics (Open System) Good afternoon,
Thermodynamics: An Engineering Approach 8th Edition in SI Units Yunus A. Çengel, Michael A. Boles McGraw-Hill, 2015 CHAPTER 5 MASS AND ENERGY ANALYSIS OF CONTROL VOLUMES Lecture slides by Dr. Fawzi Elfghi
BEE 5330 Fluids FE Review, Feb 24, 2010 1 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 will form a free
Jet Aircraft Propulsion Prof. Bhaskar Roy Prof. A.M. Pradeep Department of Aerospace Engineering Indian Institute of Technology, IIT Bombay Module No. # 01 Lecture No. # 08 Cycle Components and Component
Cairo University Second Year Faculty of Engineering Gas Dynamics AER 201B Aerospace Department Sheet (1) 2011-2012 One-Dimensional Isentropic Flow 1. Assuming the flow of a perfect gas in an adiabatic,
Basic Fluid Mechanics Chapter 6A: Internal Incompressible Viscous Flow 4/16/2018 C6A: Internal Incompressible Viscous Flow 1 6.1 Introduction For the present chapter we will limit our study to incompressible
EGT0 ENGINEERING TRIPOS PART IA Wednesday 4 June 014 9 to 1 Paper 1 MECHANICAL ENGINEERING Answer all questions. The approximate number of marks allocated to each part of a question is indicated in the
Notes #4a MAE 533, Fluid Mechanics S. H. Lam email@example.com http://www.princeton.edu/ lam October 23, 1998 1 The One-dimensional Continuity Equation The one-dimensional steady flow continuity equation
Spring_#8 Thermodynamics Youngsuk Nam firstname.lastname@example.org kr Ch.7: Entropy Apply the second law of thermodynamics to processes. Define a new property called entropy to quantify the secondlaw effects. Establish
Unified Quiz: Thermodynamics October 14, 2005 Calculators allowed. No books or notes allowed. A list of equations is provided. Put your ID number on each page of the exam. Read all questions carefully.