Fluid Dynamics: Part 2: Asymptotic Problems of Fluid Dynamics - Hardcover

Ruban, Anatoly I.

Hardcover

ISBN 10: 0199681740 ISBN 13: 9780199681747

Publisher: Oxford University Press, 2015

Synopsis

This is the second volume in a four-part series on fluid dynamics:

Part 1. Classical Fluid Dynamics
Part 2. Asymptotic Problems of Fluid Dynamics
Part 3. Boundary Layers
Part 4. Hydrodynamic Stability Theory

The series is designed to give a comprehensive and coherent description of fluid dynamics, starting with chapters on classical theory suitable for an introductory undergraduate lecture course, and then progressing through more advanced material up to the level of modern research in the field.

In Part 2 the reader is introduced to asymptotic methods, and their applications to fluid dynamics. Firstly, it discusses the mathematical aspects of the asymptotic theory. This is followed by an exposition of the results of inviscid flow theory, starting with subsonic flows past thin aerofoils. This includes unsteady flow theory and the analysis of separated flows. The authors then consider supersonic flow past a thin aerofoil, where the linear approximation leads to the Ackeret formula for the pressure. They also discuss the second order Buzemann approximation, and the flow behaviour at large distances from the aerofoil. Then the properties of transonic and hypersonic flows are examined in detail. Part 2 concludes with a discussion of viscous low-Reynolds-number flows. Two classical problems of the low-Reynolds-number flow theory are considered, the flow past a sphere and the flow past a circular cylinder. In both cases the flow analysis leads to a difficulty, known as Stokes paradox. The authors show that this paradox can be resolved using the formalism of matched asymptotic expansions.

About this title

About the Author

Anatoly I. Ruban, Professor, Department of Mathematics, Imperial College London

Anatoly Ruban:
1972: Graduated from Moscow Institute of Physics and Technology with 1st Class degree in Physics.
1977: PhD in Fluid Mechanics.
1978-1995: Head of Gas Dynamics Department in Central Aerohydrodynamics Institute
(Moscow).
1991: Received the Doctor of Science degree in Physics and Mathematics.
1995-2008: Professor of Computational Fluid Dynamics, Department of Mathematics, the University of Manchester.
2008-present: Chair in Applied Mathematics and Mathematical Physics, Department of Mathematics, Imperial College London.

Edition details

• Publisher: Oxford University Press
• Publication date: 2015
• ISBN 10: 0199681740
• ISBN 13: 9780199681747
• Binding: Hardcover
• Language: English
• Number of pages: 330