This paper investigates the transient behavior of the free convection motion and heat transfer induced by a heated sphere with prescribed wall temperature embedded instantaneously in an infinite porous medium. Solutions for the velocity and temperature fields have been obtained in the form of series expansions in Rayleigh number which is based on the medium permeability and the temperature of the sphere. All discussions are based on the assumption that the flow is governed by Darcy's law and the thermal Rayleigh number is small.
Issue Section:
Technical Briefs
1.
Cheng, P., 1978, “Heat Transfer in Geothermal Systems,” Advances in Heat Transfer, Vol. 14, Academic Press, pp. 1–105.
2.
Ganapathy
R.
Purushothaman
R.
1990
, “Free Convection in an Infinite Porous Medium Induced by a Heated Sphere
,” International Journal of Engineering Science
, Vol. 28
, No. 8
, pp. 751
–759
.3.
Hockox
C. E.
Watts
H. A.
1980
, “Steady Thermal Convection From a Concentrated Source in a Porous Medium
,” ASME JOURNAL OF HEAT TRANSFER
, Vol. 102
, No. 2
, p. 248
248
.4.
Jain, M. K., 1984, Numerical Solution of Differential Equations, Wiley Eastern Limited, p. 193.
5.
Landau, L. D., and Lifshitz, E. M., 1963, Fluid Mechanics, Pergamon Press, p. 201.
6.
Yamamoto
K.
1974
, “Natural Convection About a Heated Sphere in a Porous Medium
,” Journal of Physical Society of Japan
, Vol. 37
, No. 4
, pp. 1164
–1166
.
This content is only available via PDF.
Copyright © 1997
by The American Society of Mechanical Engineers
You do not currently have access to this content.
