Fluid Dynamics: Part 2: Asymptotic Problems of Fluid Dynamics

Hardcover | September 20, 2015

byAnatoly I. Ruban

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This is the second volume in a four-part series on fluid dynamics:Part 1. Classical Fluid DynamicsPart 2. Asymptotic Problems of Fluid DynamicsPart 3. Boundary LayersPart 4. Hydrodynamic Stability TheoryThe 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 atlarge 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 flowpast 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.

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This is the second volume in a four-part series on fluid dynamics:Part 1. Classical Fluid DynamicsPart 2. Asymptotic Problems of Fluid DynamicsPart 3. Boundary LayersPart 4. Hydrodynamic Stability TheoryThe series is designed to give a comprehensive and coherent description of fluid dynamics, starting with chapters on classical theory ...

Anatoly Ruban graduated in 1972 from Moscow Institute of Physics and Technology with 1st Class degree in Physics. In 1977 with his PhD in Fluid Mechanics. He was Head of Gas Dynamics Department in Central Aerohydrodynamics Institute 1978-1995 (Moscow). In 1991 he received the Doctor of Science degree in Physics and Mathematics. From 19...

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Format:HardcoverDimensions:336 pages, 9.69 × 6.73 × 0.8 inPublished:September 20, 2015Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199681740

ISBN - 13:9780199681747

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Table of Contents

1. Perturbation Methods2. Asymptotic Problems of Subsonic Flow Theory3. Supersonic Flows past Thin Aerfoils4. Transonic Flows5. Hypersonic Flows6. Low-Reynold-Number Flows