Fluid Dynamics : Part 2: Asymptotic Problems of Fluid Dynamics

Anatoly I Ruban

ISBN 10: 0199681740 / ISBN 13: 9780199681747

Verlag: Oxford University Press Okt 2015, 2015

Beschreibung

Neuware - In this second volume the reader is introduced to asymptotic methods. These are now an inherent part of applied mathematics, and are used in different branches of physics, but it was fluid dynamics where asymptotic techniques were first introduced. Bestandsnummer des Verkäufers 9780199681747

Bibliografische Details

Titel: Fluid Dynamics : Part 2: Asymptotic Problems...

Verlag: Oxford University Press Okt 2015

Erscheinungsdatum: 2015

Einband: Buch

Zustand: Neu

Über diesen Titel

Inhaltsangabe:

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.

Über die Autorin bzw. den Autor:

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.