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Internally Heated Convection and Rayleigh-Bénard Convection

  • David Goluskin

Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSAPPLSCIENCES)

Also part of the SpringerBriefs in Thermal Engineering and Applied Science book sub series (BRIEFSTHERMAL)

Table of contents

  1. Front Matter
    Pages i-viii
  2. David Goluskin
    Pages 1-26
  3. David Goluskin
    Pages 27-48

About this book

Introduction

This Brief describes six basic models of buoyancy-driven convection in a fluid layer: three configurations of internally heated convection and three configurations of Rayleigh-Bénard convection. The author discusses the main quantities that characterize heat transport in each model, along with the constraints on these quantities. This presentation is the first to place the various models in a unified framework, and similarities and differences between the cases are highlighted. Necessary and sufficient conditions for convective motion are given. For the internally heated cases only, parameter-dependent lower bounds on the mean fluid temperature are proven, and results of past simulations and laboratory experiments are summarized and reanalyzed. The author poses several open questions for future study.

Keywords

Background Method Direct Numerical Simulation Internal Heating Joule Heating Volumetric Heating

Authors and affiliations

  • David Goluskin
    • 1
  1. 1.Mathematics DepartmentUniversity of MichiganAnn ArborUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-23941-5
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-23939-2
  • Online ISBN 978-3-319-23941-5
  • Series Print ISSN 2191-530X
  • Series Online ISSN 2191-5318
  • Buy this book on publisher's site
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