Introduction to Mathematical Fluid Dynamics

Richard E. Meyer

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English

Dover Publications Inc.
22 December 2010

Mathematics & Sciences; Classical mechanics; Maths for engineers; Mechanics of fluids

Series: Dover Books on Physics

Summary
Details

"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."""""

By: Richard E. Meyer
Imprint: Dover Publications Inc.
Country of Publication: United States
Dimensions: Height: 215mm, Width: 135mm, Spine: 10mm
Weight: 226g
ISBN: 9780486615547
ISBN 10: 0486615545
Series: Dover Books on Physics
Pages: 192
Publication Date: 22 December 2010
Audience: General/trade , ELT Advanced
Format: Paperback
Publisher's Status: Unspecified