INTRODUCTION TO THEORETICAL AND MATHEMATICAL FLUID DYNAMICS
A practical treatment of mathematical fluid dynamics
In Introduction to Theoretical and Mathematical Fluid Dynamics,
distinguished researcher Dr. Bhimsen K. Shivamoggi delivers a
comprehensive and insightful exploration of fluid dynamics from a
mathematical point of view. The book introduces readers to the
mathematical study of fluid behavior and highlights areas of active
research in fluid dynamics. With coverage of advances in the field over
the last 15 years, this book provides in-depth examinations of
theoretical and mathematical fluid dynamics with a particular focus on
incompressible and compressible fluid flows.
Introduction to Theoretical and Mathematical Fluid Dynamics includes
practical applications and exercises to illustrate the concepts
discussed within, and real-world examples are explained throughout the
text. Clear and explanatory material accompanies the rigorous
mathematics, making the book perfect for students seeking to learn and
retain this complex subject.
The book also offers:
- A thorough introduction to the basic concepts and equations of fluid
dynamics, including an introduction to the fluid model, the equations
of fluid flows, and surface tension effects
- Comprehensive explorations of the dynamics of incompressible fluid
flows, fluid kinematics and dynamics, the complex-variable method, and
three-dimensional irrotational flows
- Detailed discussions of the dynamics of compressible fluid flows,
including a review of thermodynamics, isentropic fluid flows,
potential flows, and nonlinear theory of plane sound waves
- Systematic discussions of the dynamics of viscous fluid flows,
including shear-layer flow, jet flow and wake flow.
Ideal for graduate-level students taking courses on mathematical fluid
dynamics as part of a program in mathematics, engineering, or physics,
Introduction to Theoretical and Mathematical Fluid Dynamics is also an
indispensable resource for practicing applied mathematicians, engineers,
and physicists.
