Natural convection in an anisotropic porous medium heated from the side (effects of anisotropic properties of porous matrix)

Journal Article · Fri Oct 01 04:00:00 EDT 1993 · Heat Transfer - Japanese Research; (United States)

OSTI ID:5837266

Kimura, Shigeo; Masuda, Yoshio; Hayashi, Kazuo

Natural convection heat transfer in a square cavity filled with a saturated anisotropic porous medium has been investigated analytically. One vertical wall is kept at a constant temperature which is higher than that of the other. Top and bottom walls are insulated. All boundaries are assumed to be nonpenetrable for the fluid. The temperature and stream function are expanded about Ra, the Rayleigh number of the system. The series solutions are then substituted in the governing equations. Equating terms of equal power of Ra, a number of sets of the homogeneous or nonhomogeneous permeability and thermal conductivity is considered in the process of solving these linear systems. The degrees of anisotropy of fluid permeability K[sub x]/K[sub y] and of thermal conductivity k[sub x]/k[sub y] are varied from 0.1 to 100 and from 0.01 to 100, respectively. The effect of both anisotropy of permeability and thermal conductivity on the overall heat transfer is found to be equally significant. It is also found that the anisotropy of a porous medium produces similar effects on flow and temperature patterns as does the geometric aspect ratio of the rectangular cavity.

• OSTI ID: 5837266
• Journal Information: Heat Transfer - Japanese Research; (United States), Journal Name: Heat Transfer - Japanese Research; (United States) Vol. 22:2; ISSN 0096-0802; ISSN HTJPAU
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
ANALYTICAL SOLUTION
ANISOTROPY
CONVECTION
ENERGY TRANSFER
FLUIDS
HEAT TRANSFER
MASS TRANSFER
MATERIALS
NATURAL CONVECTION
PERMEABILITY
PHYSICAL PROPERTIES
POROUS MATERIALS
THERMAL CONDUCTIVITY
THERMODYNAMIC PROPERTIES
WALLS