Drawing on forty years of teaching experience, the author presents the basic concepts of mathematical modeling of fluids and solids.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
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.
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