This is the first book in a fourpart series 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. The present Part 1 consists of four chapters. Chapter 1 begins with a discussion of Continuum Hypothesis, which is followed by an introduction to macroscopic functions, the velocity vector, pressure, density, and enthalpy. We then analyse the forces acting inside a fluid, and deduce the NavierStokes equations for incompressible and compressible fluids in Cartesian and curvilinear coordinates. In Chapter 2 we study the properties of a number of flows that are presented by the socalled exact solutions of the NavierStokes equations, including the Couette flow between two parallel plates, HagenPoiseuille flow through a pipe, and Karman flow above an infinite rotating disk. Chapter 3 is devoted to the inviscid incompressible flow theory, with particular focus on twodimensional potential flows. These can be described in terms of the "complex potential", allowing the full power of the theory of functions of complex variables to be used. We discuss in detail the method of conformal mapping, which is then used to study various flows of interest, including the flows past Joukovskii aerofoils. The final Chapter 4 is concerned with compressible flows of perfect gas, including supersonic flows. Particular attention is given to the theory of characteristics, which is used, for example, to analyse the PrandtlMeyer flow over a body surface bend and a corner. Significant attention is also devoted to the shock waves. The chapter concludes with analysis of unsteady flows, including the theory of blast waves.
About Anatoly I. Ruban
Anatoly Ruban: 1972: Received 1st class degree in Physics from Moscow Institute of Physics and Technology (MPhTI) 1977: PhD in Physics and Mathematics from Central Aerohydrodynamic Institute (TsAGI), Moscow 1991: Degree of Doctor of Science in Physics and Mathematics from Computing Centre of the Russian Academy of Sciences 1975  1995: Employed by TsAGI, starting as Junior Research Scientist and progressing to Head of Department of Gas Dynamics 1978  1995: Teaching at MPhPI, first as Associate Professor and then (1993  1995) as Professor in the Department of Theoretical Aerohydrodynamics 1995  2008: Chair in Computational Fluid Dynamics, University of Manchester, School of Mathematics 2008  present: Chair in Applied Mathematics and Mathematical Physics, Imperial College London, Department of Mathematics Jitesh S.B. Gajjar: 1977: Received 1st Class Hons in Mathematics from Imperial College, London 1984: Received PhD from Mathematics Department, Imperial College, London 1983  1985: Research Scientist at British Maritime Technology, Teddington, UK 1985  1991: Lecturer in Mathematics Department at Exeter University 1991  current: Mathematics Department, University of Manchester 2007  current: Professor of Applied Mathematics, University of ManchesterDetails Book
Author  :  Anatoly I. Ruban 
Publisher  :  Oxford University Press 
Data Published  :  08 May 2014 
ISBN  :  0199681732 
EAN  :  9780199681730 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  336 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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