lectures on fluid mechanics and the mechanics of deformable solids for mathematicians and physicists /
Grigory Isaakovich Barenblatt, ForMemRS, Emeritus G.I. Taylor Professor of Fluid Mechanics, University of Cambridge, Emeritus Professor, University of California, Berkleley, Principal Scientist, Institute of Oceanology, Russian Academy of Sciences
xix, 255 pages :
illustrations (some color) ;
26 cm
Cambridge texts in applied mathematics
Includes bibliographical references (pages 243-252) and index
Idealized continuous media: the basic concepts -- Dimensional analysis and physical similitude -- The ideal incompressible fluid approximation: general concepts and relations -- The ideal incompressible fluid approximation: analysis and applications -- The linear elastic solid approximation. Basic equations and boundary value problems in the linear theory of elasticity -- The linear elastic solid approximation. Applications: brittle and quasi-brittle fracture; strength of structures -- The Newtonian viscous fluid approximation. General comments and basic relations -- The Newtonian viscous fluid approximation. Applications: the boundary layer -- Advanced similarity methods: complete and incomplete similarity -- The ideal gas approximation. Sound waves; shock waves -- Turbulence: generalities; scaling laws for shear flows -- Turbulence: mathematical models of turbulent shear flows and of the local structure of turbulent flows at very large Reynolds numbers