Introduction to Mathematical Fluid Dynamics

Overview

An introduction to the behavior of liquids and gases that provides excellent coverage of kinematics, momentum principle, Newtonian fluid, rotating fluids, compressibility and more, directed to undergraduate students in mathematics and general science with a background in set theory.
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Introduction to Mathematical Fluid Dynamics

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Overview

An introduction to the behavior of liquids and gases that provides excellent coverage of kinematics, momentum principle, Newtonian fluid, rotating fluids, compressibility and more, directed to undergraduate students in mathematics and general science with a background in set theory.
Read More Show Less

Product Details

  • ISBN-13: 9780486615547
  • Publisher: Dover Publications
  • Publication date: 12/22/2010
  • Series: Dover Books on Physics Series
  • Pages: 192
  • Sales rank: 1,189,005
  • Product dimensions: 5.41 (w) x 8.44 (h) x 0.42 (d)

Table of Contents

Preface
Acknowlegments
1 Kinematics
  1 Introduction
  2 Lagrangian description
  3 Eulerian description
  4 Conservation of mass
  5 Circulation
  6 Some potential flows
  7 Vorticity
  8 Line vortex
  9 Vortex sheet
2 Momentum Principle and Ideal Fluid
  10 Conservation of linear momentum
  11 Mixing and lift
  12 Equations of motion
  13 D'Alembert's theorem
  14 Kelvin's theorem
  15 Conservation of angular momentum
3 Newtonian Fluid
  16 The Couette experiment
  17 Constitutive equation
  18 Kinetic theory
  19 Some viscous fluid motions
4 Fluids of Small Viscosity
  20 Reynolds number
  21 A singular perturbation example
  22 Limit equations for the flat plate
  23 Discussion of Blasius' solution
  24 Limit equations with pressure gradient and wall curvature
  25 Similarity solutions
  26 Momentum integral
  27 Separation
  28 Wake
5 Some Aspects of Rotating Fluids
  29 Bjerknes' theorem
  30 Rossby number
  31 Ekman layer
  32 Taylor-Proudman theorem
6 Some Effects of Compressibility
  33 Thermodynamic state
  34 Flow initiation
  35 Conservation of energy
  36 Shock relations
  37 Shock structure
  38 Navier-Stokes equations
Bibliography
Index

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