Research Papers: Natural and Mixed Convection

Heatline Visualization of Natural Convection in a Porous Cavity Occupied by a Fluid With Temperature-Dependent Viscosity

[+] Author and Article Information
K. Hooman1

School of Engineering, The University of Queensland, Brisbane, Queensland 4072, Australiak.hooman@uq.edu.au

H. Gurgenci

School of Engineering, The University of Queensland, Brisbane, Queensland 4072, Australia


Corresponding author.

J. Heat Transfer 130(1), 012501 (Jan 28, 2008) (6 pages) doi:10.1115/1.2780179 History: Received November 02, 2006; Revised May 01, 2007; Published January 28, 2008

Temperature-dependent viscosity effect in buoyancy driven flow of a gas or a liquid in an enclosure filled with a porous medium is studied numerically based on the general model of momentum transfer in a porous medium. The exponential form of viscosity-temperature relation is applied to examine three cases of viscosity-temperature relation: constant, decreasing, and increasing. Application of arithmetic and harmonic mean values of the viscosity is also investigated for their ability to represent the Nusselt number versus the effective Rayleigh number. Heat lines are illustrated for a more comprehensive investigation of the problem.

Copyright © 2008 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

(a) Definition sketch and (b) dimensionless boundary conditions

Grahic Jump Location
Figure 2

Horizontal midplane velocity (top) and temperature (bottom) for different values of b with Ra=50 and s=1000

Grahic Jump Location
Figure 3

The variation of Nu∕Nucp (top) and R (bottom) versus b with some values of Ra (s=100)

Grahic Jump Location
Figure 4

Heat lines for various b values with Ra=50 and (A) s=1, (B) s=100, and (C) s=1000



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