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Short Preliminary Comments and Summary of Chapters 2 to 10

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Convection in Fluids

Part of the book series: Fluid Mechanics and its Applications ((FMIA,volume 90))

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During the years 1967–1972 at the ONERA, then 1972–1996 at the University of Lille I, and later, following retirement from this University in the years 1997–2002, at home in Paris-Center, I published more than 20 papers devoted to convection in fluids. As an Introduction to this book, I wish to give a short discourse on six of these papers that I consider as particularly valuable results. The interested reader will find all of these quoted papers and books listed at the end of this chapter.

A first valuable result was obtained in 1974, namely a rigorous justification, based on an asymptotic approach for low Mach numbers, of the famous Boussinesq approximation and the rational derivation of the associated Boussinesq equations [1]. In chapter 8 of [2], a monograph published in 1990 and devoted to the asymptotic modelling of atmospheric flows, the reader can find a careful derivation and analysis of these Boussinesq equations, valid for atmospheric low velocity motions — the so-called small Machnumber/hyposonic case.

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(2009). Short Preliminary Comments and Summary of Chapters 2 to 10. In: Convection in Fluids. Fluid Mechanics and its Applications, vol 90. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2433-6_1

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  • DOI: https://doi.org/10.1007/978-90-481-2433-6_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-2432-9

  • Online ISBN: 978-90-481-2433-6

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