Thermal convection in a rectangular cavity filled with a heat-generating, Darcy porous medium

Journal Article · Sat Aug 01 04:00:00 EDT 1987 · Journal of Heat Transfer (Transactions of the ASME (American Society of Mechanical Engineers), Series C); (United States)

DOI:https://doi.org/10.1115/1.3248144· OSTI ID:6064602

Prasad, V ^[1]

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1. Columbia Univ., New York, NY (United States)

Two-dimensional, steady natural convection in a rectangular cavity filled with a heat-generating, saturated porous medium has been studied numerically for the case when the vertical walls of the cavity are isothermal and the horizontal walls are either adiabatic or cold. Results are presented in terms of the streamlines and isotherms, the maximum temperature in the cavity, and the local and overall Nusselt numbers. The buoyant flow together with the uniform heat generation produces a highly stratified medium at high Rayleigh numbers. Although the maximum temperature in the cavity {theta}{sub max} invariably increases with Rayleigh number Ra and aspect ratio A, the rate of increase diminishes with this enhancement in Ra and A. However, the change in the horizontal wall boundary walls is a strong function of the Rayleigh number, the aspect ratio, and the wall boundary conditions. The variation in overall Nusselt number qualitatively similar to that observed in the case of a differentially heated cavity, and the present heat transfer rates are close to that for the cavity heated by applying a uniform heat flux. Several correlations are presented for maximum temperature and overall Nusselt number.

• OSTI ID: 6064602
• Journal Information: Journal of Heat Transfer (Transactions of the ASME (American Society of Mechanical Engineers), Series C); (United States), Journal Name: Journal of Heat Transfer (Transactions of the ASME (American Society of Mechanical Engineers), Series C); (United States) Vol. 109:3; ISSN 0022-1481; ISSN JHTRA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
AFTER-HEAT REMOVAL
CALCULATION METHODS
CONVECTION
ENERGY TRANSFER
GEOTHERMAL SYSTEMS
HEAT TRANSFER
MANAGEMENT
MASS TRANSFER
MATERIALS
MATHEMATICS
NATURAL CONVECTION
NUMERICAL ANALYSIS
PACKED BED
POROUS MATERIALS
RADIOACTIVE WASTE MANAGEMENT
RADIOACTIVE WASTE STORAGE
REACTORS
REMOVAL
STEADY-STATE CONDITIONS
STORAGE
WASTE MANAGEMENT
WASTE STORAGE