10. Fluid Mechanics

  1. Ismael Herrera and
  2. George F. Pinder

Published Online: 19 MAR 2012

DOI: 10.1002/9781118207239.ch10

Mathematical Modeling in Science and Engineering: An Axiomatic Approach

Mathematical Modeling in Science and Engineering: An Axiomatic Approach

How to Cite

Herrera, I. and Pinder, G. F. (2012) Fluid Mechanics, in Mathematical Modeling in Science and Engineering: An Axiomatic Approach, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118207239.ch10

Publication History

  1. Published Online: 19 MAR 2012
  2. Published Print: 12 MAR 2012

ISBN Information

Print ISBN: 9781118087572

Online ISBN: 9781118207239

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Keywords:

  • Newtonian fluids;
  • Stokes' constitutive equations;
  • Navier-Stokes equations;
  • complementary constitutive equations;
  • incompressible fluids

Summary

This chapter contains sections titled:

  • Introduction

  • Newtonian Fluids: Stokes' Constitutive Equations

  • Navier-Stokes Equations

  • Complementary Constitutive Equations

  • The Concepts of Incompressible and Inviscid Fluids

  • Incompressible Fluids

  • Initial and Boundary Conditions

  • Viscous Incompressible Fluids: Steady States

  • Linearized Theory of Incompressible Fluids

  • Ideal Fluids

  • Irrotational Flows

  • Extension of Bernoulli's Relations to Compressible Fluids

  • Shallow-Water Theory

  • Inviscid Compressible Fluids

  • Summary

  • Exercises