Free convective heat transfer over a nonisothermal body of arbitrary shape embedded in a fluid-saturated porous medium

Journal Article · Sun Feb 01 04:00:00 EST 1987 · Journal of Heat Transfer (Transcations of the ASME (American Society of Mechanical Engineers), Series C); (United States)

DOI:https://doi.org/10.1115/1.3248032· OSTI ID:5403678

Nakayama, A; Koyama, H ^[1]

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1. Shizuoka Univ. (Japan)

The problem of free convective heat transfer from a nonisothermal two-dimensional ar axisymmetric body of arbitrary geometric configuration in a fluid-saturated porous medium was analyzed on the basis of boundary layer approximations. Upon introducing a similarity variable (which also accounts for a possible wall temperature effect on the boundary layer length scale), the governing equations for a nonisothermal body of arbitrary shape can be reduced to an ordinary differential equation which has been previously solved by Cheng and Minkowycz for a vertical flat plate with its wall temperature varying in an exponential manner. Thus, it is found that any two-dimensional or axisymmetric body possesses a corresponding class of surface wall temperature distributions which permit similarity solution. Furthermore, a more straightforward and yet sufficiently accurate approximate method based on the Karman-Pohlhausen integral relation is suggested for a general solution procedure for a Darcian fluid flow over a nonisothermal body of arbitrary shape. For illustrative purposes, computations were carried out on a vertical flat plate, horizontal ellipses, and ellipsoids with different minor-to-major axis ratios.

• OSTI ID: 5403678
• Journal Information: Journal of Heat Transfer (Transcations of the ASME (American Society of Mechanical Engineers), Series C); (United States), Journal Name: Journal of Heat Transfer (Transcations of the ASME (American Society of Mechanical Engineers), Series C); (United States) Vol. 109:1; ISSN 0022-1481; ISSN JHTRA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
BOUNDARY LAYERS
CALCULATION METHODS
CONVECTION
DARCY LAW
ENERGY TRANSFER
EQUIPMENT
GEOTHERMAL SYSTEMS
HEAT TRANSFER
LAYERS
MASS TRANSFER
MATERIALS
NATURAL CONVECTION
POROUS MATERIALS
REACTORS
SATURATION
TEMPERATURE DISTRIBUTION
THERMAL ENERGY STORAGE EQUIPMENT