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Fluid Dynamics and Linear Elasticity

Fluid Dynamics and Linear Elasticity

Publisher Springer Nature Customer Service Center GmbH
Year 01/01/2019
Edition First
Pages 291
Version paperback
Readership level College/higher education
Language English
ISBN 9783030192969
Categories Mathematical modelling, Fluid mechanics, Wave mechanics (vibration & acoustics), Mechanics of solids
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Book description

_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.

Fluid Dynamics and Linear Elasticity

Table of contents

1 Introduction.- 2 Mathematical Preliminaries.- 3 Continuum Kinematics.- 4 Continuum Dynamics.- 5 Ideal Incompressible Fluids.- 6 Linear Elasticity.- 7 Viscous Incompressible Fluids.- 8 Ideal Barotropic Fluids.- 9 Non-ideal Compressible Fluids.- A Solutions to Problems.- Index

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