MTU Library Catalogue

Syndetics cover image
Image from Syndetics

Introduction to mathematical fluid dynamics / Richard E. Meyer.

By: Meyer, Richard E, 1919-.
Material type: materialTypeLabelBookPublisher: New York : Dover Publications, 1982 1971Description: vi, 185 p. : ill. ; 22 cm.ISBN: 0486615545 .Subject(s): Fluid dynamicsDDC classification: 532.05
Contents:
Kinematics -- Momentum principle and ideal fluid -- Newtonian fluid -- Fluids of small viscosity -- Some aspects of rotating fluids -- Some effects of compressibility.

Enhanced descriptions from Syndetics:

Fluid dynamics, the behavior of liquids and gases, is a field of broad impact -- in physics, engineering, oceanography, and meteorology for example -- yet full understanding demands fluency in higher mathematics, the only language fluid dynamics speaks. Dr. Richard Meyer's work is indeed introductory, while written for advanced undergraduate and graduate students in applied mathematics, engineering, and the physical sciences. A knowledge of calculus and vector analysis is presupposed.
The author develops basic concepts from a semi-axiomatic foundation, noting that "for mathematics students such a treatment helps to dispel the all too common impression that the whole subject is built on a quicksand of assorted intuitions." Contents include:
Kinematics: Lagrangian and Eulerian descriptions, Circulation and Vorticity.
Momentum Principle and Ideal Fluid: Conservation examples, Euler equations, D'Alembert's and Kelvin's theorems.
Newtonian Fluid: Constitutive and Kinetic theories, exact solutions.
Fluids of Small Viscosity: Singular Perturbation, Boundary Layers.
Some Aspects of Rotating Fluids: Rossby number, Ekman layer, Taylor-Proudman Blocking.
Some Effects of Compressibility: Thermodynamics, Waves, Shock relations and structure, Navier-Stokes equations.
Dr. Meyer writes, "This core of our knowledge concerns the relation between inviscid and viscous fluids, and the bulk of this book is devoted to a discussion of that relation."

Reprint. Originally published: New York : Wiley-Interscience, c1971. (Pure and applied mathematics ; v. 24). With slight corrections..

Bibliography: (pages 175-177) and index.

Kinematics -- Momentum principle and ideal fluid -- Newtonian fluid -- Fluids of small viscosity -- Some aspects of rotating fluids -- Some effects of compressibility.

Table of contents provided by Syndetics

  • 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