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Routes to absolute instability in po...

Barletta, Antonio.

Routes to absolute instability in porous media

Record Type:	Electronic resources : Monograph/item
Title/Author:	Routes to absolute instability in porous mediaby Antonio Barletta.
Author:	Barletta, Antonio.
Published:	Cham :Springer International Publishing :2019.
Description:	xix, 283 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Porous materialsStability.
Online resource:	https://doi.org/10.1007/978-3-030-06194-4
ISBN:	9783030061944$q(electronic bk.)

Routes to absolute instability in porous media
Barletta, Antonio.

Routes to absolute instability in porous media[electronic resource] /by Antonio Barletta. - Cham :Springer International Publishing :2019. - xix, 283 p. :ill., digital ;24 cm.

Preface -- Fourier Transform and Wavepackets -- Flow Solutions and Their Stability -- Models of Convection in Porous Media -- Rayleigh-Benard Instability, Thermal Instabilities and Dynamics of Normal Modes -- Transition from Convective to Absolute Instability -- Numerical Methods -- Bibliography.

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-Benard 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.

ISBN: 9783030061944$q(electronic bk.)

Standard No.: 10.1007/978-3-030-06194-4doiSubjects--Topical Terms:

837656
Porous materials
--Stability.

LC Class. No.: TA418.9.P6 / B375 2019

Dewey Class. No.: 620.116

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505 0 $a Preface -- Fourier Transform and Wavepackets -- Flow Solutions and Their Stability -- Models of Convection in Porous Media -- Rayleigh-Benard Instability, Thermal Instabilities and Dynamics of Normal Modes -- Transition from Convective to Absolute Instability -- Numerical Methods -- Bibliography.
520 $a 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-Benard 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.
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