The Brinkman model for thermosolutal convection in a vertical annular porous layer
Double-diffusive natural convection in porous media, i.e. flows generated by buoyancy due to simultaneous temperature and concentration gradients, has received considerable attention in recent years. Interest in this phenomenon has been motivated by such diverse engineering problems as the migration of moisture contained in fibrous insulation, grain storage, the contaminated transport in saturated soil, the underground disposal of nuclear wastes, drying processes, etc. Here, numerical study is carried out on double-diffusive natural convection within a vertical circular porous annulus. Motions are driven by the externally applied constant temperature and concentration differences imposed across the vertical walls of the enclosure. In the formulation of the problem, use is made of the Brinkman extended Darcy model which allows the no-slip boundary condition on a solid wall, to be satisfied. The flow is assumed to be laminar and two dimensional. The density variation is taken into account by the Boussinesq approximation. The control-volume approach is used for solving the governing equations. Solutions for the flow fields, temperature and concentration distributions and Nusselt, {ovr Nu}{sub i} and Sherwood, {ovr Sh}{sub i} numbers are obtained in terms of the governing parameters of the problem. The effect of both the Darcy number, Da, and the radius ratio, {kappa}, or {ovr Nu}{sub i} and {ovr Sh}{sub i} is found to be significant. Results for a pure viscous fluid and a Carcy (densely packed) porous medium emerge from the present model is limiting cases.
- Research Organization:
- Lab. Materiaux et Sciences des Constructions, Cergy-Pointoise (FR)
- OSTI ID:
- 20015635
- Journal Information:
- International Communications in Heat and Mass Transfer, Vol. 27, Issue 1; Other Information: PBD: Jan 2000; ISSN 0735-1933
- Country of Publication:
- United States
- Language:
- English
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