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Natural convection in an inclined square enclosure partly filled with a porous medium and with a partially heated wall

Book ·
OSTI ID:100872
 [1]
  1. Queen`s Univ., Kingston, Ontario (Canada). Dept. of Mechanical Engineering

Two-dimensional natural convective flow in an inclined square enclosure with part of one wall heated to a uniform temperature and with the opposite wall uniformly cooled to a lower temperature and with the remaining wall portions adiabatic has been considered. The enclosure is partly filled with a fluid and partly filled with a porous medium which is saturated with the same fluid, there being no partition between the fluid and the porous medium layers. It has been assumed that the flow is steady, laminar and two-dimensional and that fluid properties are constant except for the density change with temperature which gives rise to the buoyancy forces. The usual Darcy assumptions have been adopted in the porous layer, except that the viscous shear stress term, i.e. the Brinkman term, has been retained although the inertia term has been neglected. The governing equations have been written in terms of the stream function and vorticity and expressed in dimensionless form. These dimensionless equations, subject to the boundary conditions, have been solved using a finite difference procedure. Results have been obtained for a Prandtl number of 0.7 for a wide range of the governing parameters. The main results considered is the mean heat transfer rate across the enclosure. The effects of changes in the angle of inclination of this mean heat transfer rate have, in particular, been considered.

OSTI ID:
100872
Report Number(s):
CONF-950116--; ISBN 0-7918-1296-0
Country of Publication:
United States
Language:
English

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