Interfacial interactions in heat transfer and fluid flow through porous media
The effects of boundary friction and inertia on convective heat transfer and fluid flow at the interface regions between a porous medium and another medium have been studied both analytically and numerically. First the significance of the boundary effect on natural convection from a heated vertical plate embedded in a fluid-saturated porous medium has been investigated. For the case where the thickness of the viscous boundary layer is larger than that of the thermal boundary layer, the Nusselt number was found to depend only on the Rayleigh number and to be independent of the permeability of the porous medium. Secondly the problem of forced convection in a porous channel subjected to constant wall heat flux is analyzed. It is shown that for a high permeability porous medium the thickness of the momentum boundary layer depends on both the Darcy number and the inertia parameter, while that for a low permeability porous medium depends only on the Darcy number. It is found that there is a significant increase in the rate of heat transfer as the inertia parameter increases especially for high permeability porous media. Finally the problem of forced convection over a flat plate covered with a porous substrate is investigated. The generalized flow model which accounts for the effects of the boundary and inertia was used to describe the flow in the porous region. Two distinct boundary layers were shown to exist for the velocity field while only one boundary layer is observed for the temperature. Overall it is proved that the presence of a porous layer near an impermeable boundary may significantly change the convection characteristics and deserves careful consideration.
- Research Organization:
- Ohio State Univ., Columbus, OH (USA)
- OSTI ID:
- 6278620
- Resource Relation:
- Other Information: Thesis (Ph. D.)
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
INTERFACES
FLUID FLOW
HEAT TRANSFER
POROUS MATERIALS
BOUNDARY CONDITIONS
BOUNDARY LAYERS
CALCULATION METHODS
CONVECTION
DARCY LAW
FINITE DIFFERENCE METHOD
FLOW MODELS
FLOW RATE
FLUID MECHANICS
FRICTION FACTOR
HEAT FLUX
MOMENT OF INERTIA
NUMERICAL SOLUTION
NUSSELT NUMBER
PERMEABILITY
SATURATION
TEMPERATURE DEPENDENCE
THICKNESS
VISCOSITY
WALLS
DIMENSIONS
ENERGY TRANSFER
ITERATIVE METHODS
LAYERS
MASS TRANSFER
MATERIALS
MATHEMATICAL MODELS
MECHANICS
420400* - Engineering- Heat Transfer & Fluid Flow