Ebook: Theory and Applications of Nonviscous Fluid Flows

The purpose of this book is to present a broad panorama of model problems encountered in nonviscous Newtonian fluid flows. This is achieved by investigating the significant features of the solutions of the corresponding equations using the method of asymptotic analysis. The book thereby fills a long-standing gap in the literature by providing researchers working on applied topics in hydro-aerodynamics, acoustics and geophysical fluid flows with exact results, without having to invoke the complex mathematical apparatus necessary to obtain those insights. The benefit of this approach is two-fold: outlining the idea of the mathematical proofs involved suggests methodologies and algorithms for numerical computation, and also often gives useful information regarding the qualitative behaviour of the solutions. This book is aimed at researchers and students alike as it also provides all the necessary basic knowledge about fluid dynamics.

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The purpose of this book is to present a broad panorama of model problems encountered in nonviscous Newtonian fluid flows. This is achieved by investigating the significant features of the solutions of the corresponding equations using the method of asymptotic analysis. The book thereby fills a long-standing gap in the literature by providing researchers working on applied topics in hydro-aerodynamics, acoustics and geophysical fluid flows with exact results, without having to invoke the complex mathematical apparatus necessary to obtain those insights. The benefit of this approach is two-fold: outlining the idea of the mathematical proofs involved suggests methodologies and algorithms for numerical computation, and also often gives useful information regarding the qualitative behaviour of the solutions. This book is aimed at researchers and students alike as it also provides all the necessary basic knowledge about fluid dynamics.

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The purpose of this book is to present a broad panorama of model problems encountered in nonviscous Newtonian fluid flows. This is achieved by investigating the significant features of the solutions of the corresponding equations using the method of asymptotic analysis. The book thereby fills a long-standing gap in the literature by providing researchers working on applied topics in hydro-aerodynamics, acoustics and geophysical fluid flows with exact results, without having to invoke the complex mathematical apparatus necessary to obtain those insights. The benefit of this approach is two-fold: outlining the idea of the mathematical proofs involved suggests methodologies and algorithms for numerical computation, and also often gives useful information regarding the qualitative behaviour of the solutions. This book is aimed at researchers and students alike as it also provides all the necessary basic knowledge about fluid dynamics.
Content:
Front Matter....Pages I-XII
Introduction....Pages 1-10
Fluid Dynamic Limits of the Boltzmann Equation....Pages 11-23
From Classical Continuum Theory to Euler Equations via N-S-F Equations....Pages 25-35
A Short Presentation of Asymptotic Methods and Modelling....Pages 37-59
Various Forms of Euler Equations and Some Hydro-Aerodynamics Problems....Pages 61-129
Atmospheric Flow Equations and Lee Waves....Pages 131-170
Low Mach Number Flow and Acoustics Equations....Pages 171-184
Turbo-Machinery Fluid Flow....Pages 185-201
Vortex Sheets and Shock Layer Phenomena....Pages 203-230
Rigorous Mathematical Results....Pages 231-280
Back Matter....Pages 281-294

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The purpose of this book is to present a broad panorama of model problems encountered in nonviscous Newtonian fluid flows. This is achieved by investigating the significant features of the solutions of the corresponding equations using the method of asymptotic analysis. The book thereby fills a long-standing gap in the literature by providing researchers working on applied topics in hydro-aerodynamics, acoustics and geophysical fluid flows with exact results, without having to invoke the complex mathematical apparatus necessary to obtain those insights. The benefit of this approach is two-fold: outlining the idea of the mathematical proofs involved suggests methodologies and algorithms for numerical computation, and also often gives useful information regarding the qualitative behaviour of the solutions. This book is aimed at researchers and students alike as it also provides all the necessary basic knowledge about fluid dynamics.
Content:
Front Matter....Pages I-XII
Introduction....Pages 1-10
Fluid Dynamic Limits of the Boltzmann Equation....Pages 11-23
From Classical Continuum Theory to Euler Equations via N-S-F Equations....Pages 25-35
A Short Presentation of Asymptotic Methods and Modelling....Pages 37-59
Various Forms of Euler Equations and Some Hydro-Aerodynamics Problems....Pages 61-129
Atmospheric Flow Equations and Lee Waves....Pages 131-170
Low Mach Number Flow and Acoustics Equations....Pages 171-184
Turbo-Machinery Fluid Flow....Pages 185-201
Vortex Sheets and Shock Layer Phenomena....Pages 203-230
Rigorous Mathematical Results....Pages 231-280
Back Matter....Pages 281-294
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