Fluid Dynamics and Linear Elasticity - A First Course in Continuum Mechanics

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.

List 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

About the author

Michael S. Ruderman is Professor of Applied Mathematics at the School of Mathematics and Statistics of the University of Sheffield. His main scientific interest is in hydrodynamic and hydromagnetic wave propagation in the solar and stellar atmospheres. His main achievements are in the field of linear and nonlinear hydromagnetic wave propagation in ionised gases.

Product details

• Authors: Michael S. Ruderman
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 02.08.2019
• EAN: 9783030192969
• ISBN: 978-3-0-3019296-9
• No. of pages: 291
• Dimensions: 157 mm x 18 mm x 235 mm
• Weight: 479 g
• Illustrations: XIII, 291 p. 86 illus., 3 illus. in color.
• Series: Springer Undergraduate Mathematics Series
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Theoretical physics; B, Acoustics, Civil Engineering, Mathematics and Statistics, Applications of Mathematics, Classical and Continuum Physics, Theoretical and Applied Mechanics, Mechanics, Fluid mechanics, Fluid- and Aerodynamics, Fluids, Mechanics of solids, Mechanics, Applied, Mathematical physics, Wave mechanics (vibration & acoustics), Mathematical Applications in the Physical Sciences