Non-Darcian boundary layer flow and forced convective heat transfer over a flat plate in a fluid-saturated porous medium

Journal Article · Thu Feb 01 00:00:00 EST 1990 · Journal of Heat Transfer (Transactions of the ASME (American Society of Mechanical Engineers), Series C); (United States)

DOI:https://doi.org/10.1115/1.2910338· OSTI ID:6018601

Nakayama, A; Kokudai, T; Koyama, H ^[1]

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1. Shizuoka Univ., Johoku, Hamamatsu (Japan)

The local similarity solution procedure was successfully adopted to investigate non-Darcian flow and heat transfer through a boundary layer developed over a horizontal flat plate in a highly porous medium. The full boundary layer equations, which consider the effects of convective inertia, solid boundary, and porous inertia in addition to the Darcy flow resistance, were solved using novel transformed variables deduced from a scale analysis. The results from this local similarity solution are found to be in good agreement with those obtained from a finite difference method. The effects of the convective inertia term, boundary viscous term, and porous inertia term on the velocity and temperature fields were examined in detail. Furthermore, useful asymptotic expressions for the local Nusselt number were derived in consideration of possible physical limiting conditions.

• OSTI ID: 6018601
• Journal Information: Journal of Heat Transfer (Transactions of the ASME (American Society of Mechanical Engineers), Series C); (United States), Vol. 112:1; ISSN 0022-1481
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
PLATES
FLOW MODELS
HEAT TRANSFER
POROUS MATERIALS
ASYMPTOTIC SOLUTIONS
BOUNDARY LAYERS
CALCULATION METHODS
CHEMICAL REACTORS
FLUID FLOW
NUSSELT NUMBER
ORIENTATION
RADIOACTIVE WASTES
RESERVOIR FLUIDS
THERMAL ENERGY STORAGE EQUIPMENT
THERMAL INSULATION
ENERGY TRANSFER
EQUIPMENT
FLUIDS
LAYERS
MATERIALS
MATHEMATICAL MODELS
RADIOACTIVE MATERIALS
WASTES
420400* - Engineering- Heat Transfer & Fluid Flow