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Routes to Absolute Instability in Porous Media (Hardcover, 1st ed. 2019)
Loot Price: R3,055
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Routes to Absolute Instability in Porous Media (Hardcover, 1st ed. 2019)
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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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