1st Edition

Foundations and Applications of Mechanics
Fluid Mechanics, Volume II



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ISBN 9780849324130
Published May 22, 2002 by Narosa
435 Pages

USD $115.00

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Book Description

Foundations and Applications of Mechanics: Volume II, Fluid Mechanics shows how suitable approximations such as ideal fluid flow model, boundary layer methods, and the acoustic approximation, can help solve problems of practical importance. The author proceeds from the general to the particular, making it clear at each stage what assumptions have been made to obtain a particular approximation. In his discussion of compressible fluids, Jog steers away from using gas tables and emphasizes obtaining solutions by numerical techniques - an approach more amenable to computer solutions. He discusses the control volume and the differential equation forms of governing equations in detail and uses examples to demonstrate the advantages and shortcomings of each approach.

Table of Contents

KINEMATICS AND GOVERNING EQUATIONS
Tensor Identities
Kinematics
Governing Equations
Nature of the Governing Equations
Boundary Conditions on Velocity and Temperature
Dimensionless Parameters
Special Forms of the Governing Equations
Example Applications

HYDROSTATICS
Force on a Plane Surface
Forces on a Curved Surface
Example Applications

IDEAL FLUID FLOW
Simplification of the Euler Equations for Potential Flow
Two-Dimensional Potential Flow
Circulation and Volume Flow Rate
Elementary Complex Potentials
Rankine Oval
Uniform Flow Past a Cylinder
Method of Images
Blasius Force Theorems
Flow Past a Cylinder with Point Vortex at the Origin
Circle Theorem
Conformal Mapping
Free-Streamline Theory
Two-Dimensional Flow with Vorticity
Three-Dimensional Potential Flow
Elementary Potentials
Force on a Rigid Body in Potential Flow
Flow Around a Sphere
Kinetic Energy of a Moving Fluid
Motion of a Sphere Through a Stationary Fluid

SURFACE WAVES
Governing Equations for Surface Waves
Small Amplitude Two-Dimensional Waves
Small-Amplitude Traveling Waves
The Dispersion Relation
Standing Waves
Traveling Waves at the Interface of Two Liquids
Group Velocity
Shallow-Water Finite Waves
The Dam Breaking Problem

EXACT SOLUTION TO FLOW PROBLEMS OF AN INCOMPRESSIBLE VISCOUS FLUID
Governing Equations
Plane Steady Unidirectional Flows
Poiseuille Flow
Flow in a Converging or Diverging Channel
Flow Between Rotating Cylinders
Fluid in a Rotating Body
Unsteady Flow Problems
Wind Driven Ocean Currents: The Ekman Layer

LAMINAR BOUNDARY LAYER THEORY
Governing Equations
Blasius Solution
Stagnation-Point Flow
Falkner-Skan Solution
Displacement and Momentum Thickness
Approximate Techniques: The von Karman Momentum Integral
Thermal Boundary Layer

LOW-REYNOLDS NUMBER HYDRODYNAMICS
Lubrication Theory
Low-Inertia External Flows
Three-Dimensional Axisymmetric Flows
Flow Between Rotating Spheres
Uniform Flow Around a Circular Cylinder

COMPRESSIBLE FLUID FLOW
One-Dimensional Flow Equations
Acoustic Theory: The Wave Equation
Isentropic Flow Relations for a One-Dimensional Steady Flow Field
Solution of the One-Dimensional Flow Equations
Normal Shock
Oblique Shock and Expansion Waves
Shock-Expansion Theory
Isentropic Flow Through Variable-Area Ducts
Area-Velocity Relation
Flow Through a Convergent-Divergent Nozzle
Unsteady One-Dimensional Flow Problems: Finite Waves
The Shock Tube Problem
Compressible Couette Flow

Equations of Motion in an Orthagonal Curvilinear Coordinate System
Equations of Motion in Cylindrical Coordinates
Equations of Motion in Spherical Coordinates
Bibliography
Answers and Hints to Selected Exercises
Index

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