Heat and Mass Transfer

, Volume 43, Issue 8, pp 827–832 | Cite as

Normal mode analysis of the fully developed free convection flow in a vertical slot with open to capped ends

  • E. MagyariEmail author


The fully developed free convection flow in a differentially heated vertical slot with open to capped ends investigated recently by Bühler (Heat Mass Transf 39:631–638, 2003) and Weidman (Heat Mass Transf Online First, February 2006) is revisited in this paper. A new method of solution of the corresponding fourth order boundary value problem, based on its reduction to “normal modes” by a complex matrix similarity transformation is presented. As a byproduct of the method, some invariant relationships involving the heat flux and the shear stress in the flow could be found.


Normal Mode Wall Heat Flux Free Convection Flow Invariant Relationship Vertical Slot 
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The author is indebted to Prof. P. D. Weidman of University of Colorado at Boulder for prolific discussions during the preparation of this paper.


  1. 1.
    Bühler K (2003) Special solutions of Boussinesq-equations for free convection flows in a vertical gap. Heat Mass Transf 39:631–638CrossRefGoogle Scholar
  2. 2.
    Weidman PD (2006) Convection regime flow in a vertical slot: continuum solutions from capped to open ends. Heat Mass Transf. Online first, February 2006Google Scholar

Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  1. 1.Institute of Building TechnologyETH ZürichZurichSwitzerland

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