Introduction to Mathematical Fluid Dynamics

Richard E. Meyer (Autor)

Buch | Softcover

190 Seiten

2003
Dover Publications Inc. (Verlag)
978-0-486-61554-7 (ISBN)

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Excellent coverage of kinematics, momentum principle, Newtonian fluid, rotating fluids, compressibility, and more. Geared toward advanced undergraduate and graduate students of mathematics and science; prerequisites include calculus and vector analysis. 1971 edition.

An introduction to the behavior of liquids and gases, this volume provides excellent coverage of kinematics, momentum principle, Newtonian fluid, rotating fluids, compressibility, and more. It is geared toward advanced undergraduate and graduate students of mathematics and general science, and it requires a background in calculus and vector analysis. 1971 edition.

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

Erscheint lt. Verlag	28.3.2003
Sprache	englisch
Maße	137 x 216 mm
Gewicht	226 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Technik ► Maschinenbau
ISBN-10	0-486-61554-5 / 0486615545
ISBN-13	978-0-486-61554-7 / 9780486615547
Zustand	Neuware