Synopses & Reviews
Derived from a course in fluid mechanics, this text for advanced undergraduates and beginning graduate students employs symmetry arguments to illustrate the principles of dimensional analysis. The examples provided demonstrate the effectiveness of symmetry arguments, and students will find these methods applicable to a wide field of interests.
Synopsis
This original Dover text, geared toward advanced undergraduates and beginning graduate students,employs symmetry arguments to illustrate the principles of dimensional analysis. Based on a course in fluid mechanics, it employs straightforward methods with applications to a variety of fields.
Synopsis
Derived from a course in fluid mechanics, this text for advanced undergraduates and graduate students employs symmetry arguments to illustrate the principles of dimensional analysis. 2006 edition.
Table of Contents
Preface
1 Introduction
2 Example of method
and#160; 2.1 Restriction of range of interest
and#160; 2.2 Application
and#160; 2.3 Symmetry arguments
3 Pipe flow
and#160; 3.1 Dimensionless variables
and#160; 3.2 Symmetry at Re --> 0
and#160; 3.3 Symmetry at Re --> infinity
4 Material properties
and#160; 4.1 Constitutive equations
and#160; 4.2 Simple shear flow
5 Gasdynamical examples
and#160; 5.1 Shock waves
and#160;and#160;and#160; 5.1.1 The case [U/square root of (p/rho)] --> 0, weak wave
and#160;and#160;and#160; 5.1.2 The case [U/square root of (p/rho)] --> infinity, strong shock wave
and#160;and#160;and#160; 5.1.3 Gas explosions
and#160; 5.2 Space-time analogy, boundary layer
and#160; 5.3 Compressible flow with friction and heat transfer
6 Body in nonuniform flow
and#160; 6.1 Shear flow
and#160; 6.2 Channel flow
and#160; 6.3 Inviscid flow with shear
7 Turbulent flow
and#160; 7.1 Wall-bounded flow
and#160; 7.2 Free shear layer
8 Waves on a free liquid surface
and#160; 8.1 Very deep water
and#160; 8.2 Shallow water
and#160; 8.3 Damping of surface waves
9 Examples with other fluid properties
and#160; 9.1 Thermocapillary flow
and#160;and#160;and#160; 9.1.1 Liquid drop in horizontal temperature gradient
and#160;and#160;and#160; 9.1.2 Liquid drop in vertical temperature gradient
and#160; 9.2 Viscoelastic flow
10 Ideal gas equations of state
and#160; 10.1 Non-relativistic limit
and#160;and#160;and#160; 10.1.1 Ideal Boltzmann gas
and#160;and#160;and#160; 10.1.2 The small entropy regime
and#160; 10.2 Black body radiation
Bibliography