Fluid Dynamics and Linear Elasticity
A First Course in Continuum Mechanics
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Beschreibung
This book provides a concise introduction to continuum mechanics, with a particular emphasis on fluid dynamics, suitable for upper undergraduate students in applied mathematics and related subjects.
Starting with a preliminary chapter on tensors, the main topic of the book begins in earnest with the chapters on continuum kinematics and dynamics. Following chapters cover linear elasticity and both incompressible and compressible fluids. Special topics of note include nonlinear acoustics and the theory of motion of viscous thermal conducting compressible fluids.
Based on an undergraduate course taught for over a decade, this textbook assumes only familiarity with multivariate calculus and linear algebra. It includes many exercises with solutions and can serve as textbook for lecture courses at the undergraduate and masters level.
This book provides a concise introduction to continuum mechanics, with a particular emphasis on fluid dynamics, suitable for upper undergraduate students in applied mathematics and related subjects.
Starting with a preliminary chapter on tensors, the main topic of the book begins in earnest with the chapters on continuum kinematics and dynamics. Following chapters cover linear elasticity and both incompressible and compressible fluids. Special topics of note include nonlinear acoustics and the theory of motion of viscous thermal conducting compressible fluids.
Based on an undergraduate course taught for over a decade, this textbook assumes only familiarity with multivariate calculus and linear algebra. It includes many exercises with solutions and can serve as textbook for lecture courses at the undergraduate and masters level.
Suitable for undergraduate courses in continuum mechanics or fluid dynamics Provides an introduction to nonlinear acoustics and theory of nonlinear wave propagation in gases Includes almost 80 exercises with solutions
Autor*in
Michael S. Ruderman
Themen in »Fluid Dynamics and Linear Elasticity«
Continuum mechanics Ideal incompressible fluid Viscous incompressible fluid Ideal compressible fluid Thermal conducting fluid Boundary layers Nonlinear acoustics Shock waves Nonlinear waves in gases fluid- and aerodynamics