This is a textbook on the fundamentals of gas dynamics, also referred to as dynamics of compressible flows. It is based on the master's course Gas Dynamics that the author has been teaching at the Louvain School of Engineering of UCLouvain. Lire la suite
This is a textbook on the fundamentals of gas dynamics, also referred to as dynamics of compressible flows. It is based on the master's course Gas Dynamics that the author has been teaching at the Louvain School of Engineering of UCLouvain. The material elaborated herein covers the derivation of the governing equations of miscible reactive mixtures, steady flow in one and many spatial dimensions, gasdynamic discontinuities, unsteady one-dimensional flow, gaseous detonations, and introduction to algorithms for numerical simulations. Emphasis has been placed on the presentation of the essential physical concepts of gas dynamics and the mathematical methods for their analysis. Further, particular attention has been paid to make this textbook self-contained. A list of exercises has been included at the end of each chapter.
This book is intended for master’s and advanced undergraduate students in engineering, physics, chemistry or applied mathematics. It is assumed that the reader is familiar with the basic notions of thermodynamics and fluid mechanics.
Foreword 9
1 Basic concepts of thermodynamics 11
2 The governing equations of fluid flow 27
3 Steady one-dimensional flow 43
4 Potential compressible flow 75
5 Gasdynamic discontinuities 93
6 Unsteady one-dimensional flow 137
7 Steady supersonic flow in two dimensions 173
8 Introduction to detonations 189
9 Computational aspects of gas dynamics 207
A Characteristic decomposition in many spatial dimensions 219
B A Riemann solver for perfect gases 227
Bibliography 232
Index 235