Figure 6.1 (p. 273) Types of motion and deformation for a fluid element. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore.

Slides:



Advertisements
Similar presentations
Potential Flow Theory : Incompressible Flow
Advertisements

Lakshmi Sankar Module 3.3 Panel Methods Lakshmi Sankar
Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.
Figure 3.3 (p. 97) Free-body diagram of a fluid particle for which the important forces are those due to pressure and gravity. Fundamentals of Fluid Mechanics,
Aula Teórica 6 Pressure distribution in “Rigid Body” type flows.
Monday October 20. Motion of a rigid body Body can translate only. In this case we can replace the body by a point located at the center of mass. Body.
Lecture 16 Final Version Contents
ES 202 Fluid and Thermal Systems Lecture 28: Drag Analysis on Flat Plates and Cross-Flow Cylinders (2/17/2003)
MECH 221 FLUID MECHANICS (Fall 06/07) Chapter 7: INVISCID FLOWS
Pressure, Drag and Lift for Uniform Flow Over a Cylinder a 2 = 1.
Potential Flows Title: Advisor : Ali R. Tahavvor, Ph.D.
Aerofoil as A Turbine Blade
Flow over immersed bodies. Boundary layer. Analysis of inviscid flow.
Chapter 2 Reynolds Transport Theorem (RTT) 2.1 The Reynolds Transport Theorem 2.2 Continuity Equation 2.3 The Linear Momentum Equation 2.4 Conservation.
Basic Governing Differential Equations
California State University, Chico
Potential Flow Theory for Development of A Turbine Blade
EULER’S EQUATION Fluid Mechanics CHAPTER 4 Dr . Ercan Kahya
Lecture 15 Final Version Contents Solutions to Laplace Equation
Waves - I Chapter 16 Copyright © 2014 John Wiley & Sons, Inc. All rights reserved.
Engineering Mechanics: Statics
Conservation of Mass D=Domain of a body of water Water is flowing in and out of D Mass is neither created nor destroyed Flow coming in = Flow going out.
© Fox, McDonald & Pritchard Introduction to Fluid Mechanics Chapter 5 Introduction to Differential Analysis of Fluid Motion.
Ch 9: Part B – Fluid Flow About Immersed Bodies Flow Stream U Drag = pressure + friction.
CHAPTER (III) KINEMATICS OF FLUID FLOW 3.1: Types of Fluid Flow : Real - or - Ideal fluid : Laminar - or - Turbulent Flows : Steady -
Kinematics of Flow. Fluid Kinematics  Fluid motion -Types of fluid - Velocity and acceleration - Continuity equation  Potential Flows -Velocity Potential.
Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.
Chapter 4 FLOWING FLUIDS AND PRESSURE VARIATION Fluid Mechanics Source:
Potential Flow Theory P M V Subbarao Professor Mechanical Engineering Department Only Mathematics Available for Invetion……
Panel methods to Innovate a Turbine Blade-1 P M V Subbarao Professor Mechanical Engineering Department A Linear Mathematics for Invention of Blade Shape…..
Pharos University MECH 253 FLUID MECHANICS II
1 Chapter 6 Flow Analysis Using Differential Methods ( Differential Analysis of Fluid Flow)
Waves - I Chapter 16 Copyright © 2014 John Wiley & Sons, Inc. All rights reserved.
Ch 4 Fluids in Motion.
Numerical study of flow instability between two cylinders in 2D case V. V. Denisenko Institute for Aided Design RAS.
Abj 4.2.2: Pressure, Pressure Force, and Fluid Motion Without Flow [Q2 and Q3] Area as A Vector Component of Area Vector – Projected Area Net Area.
© Fox, Pritchard, & McDonald Introduction to Fluid Mechanics Chapter 5 Introduction to Differential Analysis of Fluid Motion.
Pharos University ME 253 Fluid Mechanics 2
Stokes Solutions to Low Reynolds Number Flows
© Fox, McDonald & Pritchard Introduction to Fluid Mechanics Chapter 6 Incompressible Inviscid Flow.
VII. Analysis of Potential Flows. Contents 1. Preservation of Irrotationality 2. Description of 2D Potential Flows 3. Fundamental Solutions 4. Superposition.
1 CONSTITUTIVE RELATION FOR NEWTONIAN FLUID The Cauchy equation for momentum balance of a continuous, deformable medium combined with the condition of.
Chapter 6 MOMENTUM ANALYSIS OF FLOW SYSTEMS
Examples of Potential Flows
Examples of Potential Flows SOURCE FLOW All rights reserved by don moorcroft.
Flowing Fluids ( 유체의 흐름 ) Fluid kinematics ( 유체운동학 ) – describes the motion of fluid elements such as translation ( 이동 ), transformation ( 변형 ), rotation.
CEE 262A H YDRODYNAMICS Lecture 4 Kinematics Part II 1.
T HE VORTICAL MECHANISM OF GENERATION & COLLIMATION OF THE ASTROPHYSICAL JETS M.G. A BRAHAMYAN Yerevan State University, Armenia.
Theory of Turbine Cascades P M V Subbarao Professor Mechanical Engineering Department Its Group Performance, What Matters.……
Mathematics to Innovate Blade Profile P M V Subbarao Professor Mechanical Engineering Department Also a Fluid Device, Which abridged the Globe into Global.
Date of download: 10/1/2017 Copyright © ASME. All rights reserved.
Chapter 18: Line Integrals and Surface Integrals
Chapter 4 Fluid Mechanics Frank White
Continuum Mechanics (MTH487)
Ship Hydrodynamics - Resistance
Fluids, Lesson 9 (part II): Pipe Flow Minor Losses
Blades for Wind Turbines
Copyright © 2014 John Wiley & Sons, Inc. All rights reserved.
© 2014 John Wiley & Sons, Inc. All rights reserved.
Copyright © 2014 John Wiley & Sons, Inc. All rights reserved.
Figure 10.16  A particle rotating in a circle under the influence of a tangential force Ft. A force Fr in the radial direction also must be present to.
Rolling, Torque, and Angular Momentum
Copyright © 2014 John Wiley & Sons, Inc. All rights reserved.
Subject Name: FLUID MECHANICS
Invention of Geometries to Generate Lift
Comparison of Experimental and Theoretical (Potential Flow) Pressure distribution around a non-rotating cylinder From Munson, Young, Okiishi.
Marine Hydrodynamics Lecture – 01
Chapter 17: Line Integrals and Surface Integrals
Introduction to Fluid Mechanics
Introduction to Fluid Mechanics
Presentation transcript:

Figure 6.1 (p. 273) Types of motion and deformation for a fluid element. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6.2 (p. 275) Translation of a fluid element. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6.3 (p. 275) Linear deformation of a fluid element. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6.4 (p. 276) Angular motion and deformation of a fluid element. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6.5 (p. 279) A differential element for the development of conservation of mass equation. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6.6 (p. 282) The representation of velocity components in cylindrical polar coordinates. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Page 283 Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6.7 (p. 283) Velocity and velocity components along a streamline. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6.8 (p. 284) The flow between two streamlines. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Page 284 Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure E6.3 (p. 285) Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6.9 (p. 287) Components of force acting on an arbitrary differential area. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6.10 (p. 287) Double subscript notation for stresses. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6.11 (p. 288) Surface forces in the x direction acting on a fluid element. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6.12 (p. 290) The notation for differential length along a streamline. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6.13 (p. 292) Uniform flow in the x direction. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6.14 (p. 293) Various regions of flow: (a) around bodies; (b) through channels. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

……………………… Figure E6.4 (p. 296) Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Page 298 Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6. 15 (p. 299) Flow net for a 90 bend. (From Ref Figure 6.15 (p. 299) Flow net for a 90 bend. (From Ref. 3, used by permission). Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Page 299 Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6.16 (p. 299) Uniform flow: (a) in the x direction; (b) in an arbitrary direction, α. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6.17 (p. 300) The streamline pattern for a source. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure E6.5 (p. 301) Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6.18 (p. 302) The streamline pattern for a vortex. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6.19 (p. 302) Motion of fluid element from A to B: (a) for irrotational (free) vortex; (b) for rotational (forced) vortex. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6.20 (p. 303) The notation for determining circulation around closed curve C. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6.21 (p. 304) Circulation around various paths in a free vortex. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure E6.6 (p. 304) Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6.22 (p. 305) The combination of a source and sink of equal strength located along the x axis. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6.23 (p. 306) Streamlines for a doublet. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Table 6.1 (p. 307) Summary of Basic, Plane Potential Flows Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6.24 (p. 308) The flow around a half-body: (a) superposition of a source and a uniform flow: (b) replacement of streamline Ψ = πbU with a solid boundary to form half-body. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure E6.7a (p. 310) Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure E6.7b (p. 310) Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6.25 (p. 311) The flow around a Rankine oval: (a) superposition of source-sink pair and a uniform flow; (b) replacement of streamline Ψ = 0 with solid boundary to form Rankine oval. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6.26 (p. 313) The flow around a circular cylinder. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6.27 (p. 314) A comparison of theoretical (inviscid) pressure distribution on the surface of a circular cylinder with typical experimental distribution. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6.28 (p. 314) The notation for determining lift and drag on a circular cylinder. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure E6.8 (p. 315) ……………………………. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6.29 (p. 317) The location of stagnation points on a circular cylinder: (a) without circulation; (b, c, d) with circulation. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Page 320 Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Page 321 Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6.30 (p. 322) The viscous flow between parallel plates: (a) coordinate system and notation used in analysis; (b) parabolic velocity distribution for flow between parallel fixed plates. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6.31 (p. 325) The viscous flow between parallel plates with bottom plate fixed and upper plate moving (Couette flow): (a) coordinate system and notation used in analysis; (b) velocity distribution as a function of parameter, P, where P = -(b2/2μU) Әp/Әx. (From Ref. 8, used by permission.) Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6.32 (p. 325) Flow in the narrow gap of a journal bearing. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure E6.9a (p. 326) Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure E6.9b (p. 326) Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6.33 (p. 327) The viscous flow in a horizontal, circular tube: (a) coordinate system and notation used in analysis; (b) flow through differential annular ring. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure 6.34 (p. 330) The viscous flow through an annulus. Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

Figure E6.10 (p. 331) Fundamentals of Fluid Mechanics, 5/E by Bruce Munson, Donald Young, and Theodore Okiishi Copyright © 2005 by John Wiley & Sons, Inc. All rights reserved.