Ways for splitting a laterally heated and cooled square   cavity and their implications on free convection strength

 

A. Campo1, E.H. Ridouane1, E.A. Semma2*,  J.Y. Chang3

1Department of Mechanical Engineering, The University of Vermont Burlington, VT 05405, USA

2Dept. of Applied Statistics and Operations Research, Bowling Green State University,Bowling Green, OH 43403, USA

(3)Laboratoire de Mécanique, Université Hassan 1er, FST de Settat, Settat, Maroc

* Corresponding author. E-mail: semmaalam@yahoo.fr / semma@fsts.ac.ma

Received: 26 January 2009; revised version accepted: 03 March 2009

 

Abstract

     This investigation addresses the heat transfer performance of three related cavities: an isosceles right triangle, a vertical rectangle with aspect ratio 2 and a square. The first cavity is derived from a square cavity when cut in half diagonally, whereas the second cavity is derived from a square cavity when the cut in half is vertical. The finite volume method is employed to perform the computational analysis for common height-based Rayleigh numbers up to 106. Numerical-determined velocity and temperature fields as well as the mean convective coefficient along the heated vertical wall are explained for the isosceles right triangular cavity.  A comparison of the heat transfer performance of the three cavities is reported.

 

Keywords: Heat transfer; Numerical method; Finite volume; Triangular cavity.

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