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This textbook is a pedagogic introduction to a number of phenomena employing fluid mechanics. Beginning with basic concepts and conservation laws for neutral and charged fluids, the authors apply and develop them to understand aerodynamics, locomotion of micro-organisms, waves in air and water, shock waves, hydrodynamic and hydromagnetic instabilities, stars and black holes, blood flow in humans, and superfluids. The approach is to consider various striking topics on fluid mechanics, without losing necessary mathematical rigor. The book balances the qualitative explanations with formal treatment, in a compact manner. A special focus is given to the important and difficult subject of turbulence and the book ends with a discussion on turbulence in quantum fluids. The textbook is dotted by a number of illustrative examples, mostly from real life, and exercises.
The textbook is designed for a one semester course and addresses students at undergraduate and graduate level in physics or engineering, who want to research in the fields as diverse as aeronautics, meteorology, cosmology, biomechanics, and mathematical physics. It is requested knowledge of an undergraduate level course on mathematical methods to better understand the topics presented here.
Shashikumar M. Chitre (1936-2021) graduated in Mathematics at the Elphinstone College, University of Mumbai, in 1959. He went on to the Peterhouse College, University of Cambridge, where he completed his M.A. in Mathematics and Ph. D. at the Department of Applied Mathematics and Theoretical Physics, University of Cambridge (1963). He was a Lecturer at the University of Leeds (1963-1966); Fellow at California Institute of Technology, USA (1966-1967); and a faculty member at the Tata Institute of Fundamental Research (1967-2001). Prof. Chitre was an elected Fellow of all three National Academies of Sciences of India, and, The Third World Academy of Sciences. He was one of the Founding Members of the UM-DAE Centre for Excellence in Basic Sciences. For his enormous contributions to research in astrophysics, education, and public service, he was awarded the third highest civilian honour, Padma Bhushan, by the Government of India in 2012.
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