Routes to Absolute Instability in Porous Media 1st Edition by Antonio Barletta ISBN 3030061930 978-3030061937

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Product details:

ISBN 10: 3030061930 

ISBN 13: 978-3030061937

Author:  Antonio Barletta 

This book addresses the concepts of unstable flow solutions, convective instability and absolute instability, with reference to simple (or toy) mathematical models, which are mathematically simple despite their purely abstract character. Within this paradigm, the book introduces the basic mathematical tools, Fourier transform, normal modes, wavepackets and their dynamics, before reviewing the fundamental ideas behind the mathematical modelling of fluid flow and heat transfer in porous media. The author goes on to discuss the fundamentals of the Rayleigh-Bénard instability and other thermal instabilities of convective flows in porous media, and then analyses various examples of transition from convective to absolute instability in detail, with an emphasis on the formulation, deduction of the dispersion relation and study of the numerical data regarding the threshold of absolute instability. The clear descriptions of the analytical and numerical methods needed to obtain these parametric threshold data enable readers to apply them in different or more general cases. This book is of interest to postgraduates and researchers in mechanical and thermal engineering, civil engineering, geophysics, applied mathematics, fluid mechanics, and energy technology.

Table of contents:

Chapter 1: Introduction

Chapter 2: Fourier Transform and Wave Packets

Chapter 3: Large-time Behaviour of Wave Packets

Chapter 4: Instability of a Flow System

Chapter 5: The Equations of Fluid Flow

Chapter 6: Fluid Flow in Porous Media

Chapter 7: Rayleigh–Bénard Convection

Chapter 8: Transition to Absolute Instability in Porous Media: Analytical Solutions

Chapter 9: Transition to Absolute Instability in Porous Media: Numerical Solutions

Chapter 10: Numerical Solution of Instability Problems

Correction to: Instability of a Flow System

 

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Tags: Antonio Barletta, Routes to, Absolute Instability, in Porous Media