An outstanding resource for every teacher and student of the mechanics of continuous media. The author's unique approach, using the concept of intermediate asymptotics, has been tried and tested over a period of forty years teaching the subject in Russia, Europe and America.
An outstanding resource for every teacher and student of the mechanics of continuous media. The author's unique approach, using the concept of intermediate asymptotics, has been tried and tested over a period of forty years teaching the subject in Russia, Europe and America.
G. I. Barenblatt is Emeritus G. I. Taylor Professor of Fluid Mechanics at the University of Cambridge, Emeritus Professor at the University of California, Berkeley, and Principal Scientist in the Institute of Oceanology of the Russian Academy of Sciences, Moscow.
Inhaltsangabe
Foreword Alexandre J. Chorin; Preface; Introduction; 1. Idealized continuous media: the basic concepts; 2. Dimensional analysis and physical similitude; 3. The ideal incompressible fluid approximation: general concepts and relations; 4. The ideal incompressible fluid approximation: analysis and applications; 5. The approximation of a linear elastic solid. Basic equations and boundary value problems of linear theory of elasticity; 6. Approximation of a linear elastic body. Applications: brittle and quasi-brittle fracture, strength of structures; 7. The approximation of Newtonian viscous fluids: general comments and basic relations; 8. Approximation of a Newtonian viscous fluid: the boundary layer; 9. Advanced similarity methods: complete and incomplete similarity; 10. The ideal gas approximation. Sound waves. Shock waves; 11. Turbulence: generalities. Scaling laws for shear flows; 12. Turbulence: mathematical models of turbulent shear flows and of the local structure of turbulent flows at very large Reynolds numbers; Bibliography; Index.
Foreword Alexandre J. Chorin; Preface; Introduction; 1. Idealized continuous media: the basic concepts; 2. Dimensional analysis and physical similitude; 3. The ideal incompressible fluid approximation: general concepts and relations; 4. The ideal incompressible fluid approximation: analysis and applications; 5. The approximation of a linear elastic solid. Basic equations and boundary value problems of linear theory of elasticity; 6. Approximation of a linear elastic body. Applications: brittle and quasi-brittle fracture, strength of structures; 7. The approximation of Newtonian viscous fluids: general comments and basic relations; 8. Approximation of a Newtonian viscous fluid: the boundary layer; 9. Advanced similarity methods: complete and incomplete similarity; 10. The ideal gas approximation. Sound waves. Shock waves; 11. Turbulence: generalities. Scaling laws for shear flows; 12. Turbulence: mathematical models of turbulent shear flows and of the local structure of turbulent flows at very large Reynolds numbers; Bibliography; Index.
Rezensionen
'The present book is a masterful exposition of fluid and solid mechanics, informed by the ideas of scaling and intermediate asymptotics, a methodology and point of view of which Professor Barenblatt is one of the originators ... This is indeed a remarkable book.' Alexandre J. Chorin, from the Foreword
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