Gas Dynamics: An Introduction with Examples from Astrophysics and Geophysics

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Springer, Jun 20, 2016 - Science - 391 pages
This book lays the foundations of gas- and fluid dynamics.The basic equations are developed from first principles, building on the (assumed) knowledge of Classical Mechanics. This leads to the discussion of the mathematical properties of flows, conservation laws, perturbation analysis, waves and shocks.
Most of the discussion centers on ideal (frictionless) fluids and gases. Viscous flows are discussed when considering flows around obstacles and shocks.

Many of the examples used to illustrate various processes come from astrophysics and geophysical phenomena.
 

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Contents

1 Introduction
2
2 From Newton to Euler and NavierStokes
5
3 Conservative Formulation of the Fluid Equations
42
4 Special Flows
69
5 Steady Incompressible Flows
78
6 Steady Ideal Compressible Flows
103
Basic Theory
125
Applications
157
10 Applications of Shock Physics
235
11 Vorticity
261
12 Fluid Dynamics in a Rotating Reference Frame
275
Applications
281
14 Selected Problems
305
15 Appendices
367
Bibliography
385
Index
387

9 Shocks
203

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