Foundations and Applications of Mechanics: Fluid Mechanics, Volume II, 1st Edition (Hardback) book cover

Foundations and Applications of Mechanics

Fluid Mechanics, Volume II, 1st Edition

By C.S. Jog

Narosa

435 pages

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Hardback: 9780849324130
pub: 2002-05-22
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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

Subject Categories

BISAC Subject Codes/Headings:
SCI041000
SCIENCE / Mechanics / General
TEC009070
TECHNOLOGY & ENGINEERING / Mechanical