Fluid Dynamics

Erscheinungsjahr 2011
ISBN: 978-0-19-968174-7
Verlag: Oxford University Press (UK)

Buch, Englisch, 330 Seiten, Print PDF, Format (B × H): 183 mm x 260 mm, Gewicht: 817 g

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.

Autoren/Hrsg.

Ruban

Ruban, Anatoly I.

Fachgebiete

• Naturwissenschaften Physik Thermodynamik Festkörperphysik, Kondensierte Materie
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Maschinenbau
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen

Inhaltsverzeichnis

- 1: Perturbation Methods

- 2: Asymptotic Problems of Subsonic Flow Theory

- 3: Supersonic Flows past Thin Aerfoils

- 4: Transonic Flows

- 5: Hypersonic Flows

- 6: Low-Reynold-Number Flows

Über Autor(innen)

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.