Daniels, P. G.; Blythe, P. A.; Simpkins, P. G. Thermally driven cavity flows in porous media. II: The horizontal boundary layer structure. (English) Zbl 0537.76063 Proc. R. Soc. Lond., Ser. A 382, 135-154 (1982). The paper completes the analysis, begun in part I [ibid. 380, 119-136 (1980; Zbl 0502.76100)], of the thermally driven cavity flows in a fluid saturated porous medium. The steady two dimensional flow equations are obtained from Darcy’s law together with Boussinesq approximations. The analysis indicates that the horizontal structure consists of two basic regions. The outer layer is governed by a balance between convection and bouyancy, whereas the inner layer is controlled by conduction and convection. The details of calculations for the outer and inner layers as well as the cold and hot corners are given. It is suggested that the present method of discussion may be extended to cavity flows in the limit when the magnetic drag dominates the viscous and inertial forces. Reviewer: G.Paria Cited in 3 Documents MSC: 76S05 Flows in porous media; filtration; seepage 76D10 Boundary-layer theory, separation and reattachment, higher-order effects 76R10 Free convection Keywords:two-dimensional rectangular cavity; horizontal temperature gradient; high Rayleigh number limit; vertical boundary layer; corners; cone flows; series expansions; Darcy-Rayleigh number; diffusive layer; thermally driven cavity flows; fluid saturated; steady two dimensional flow equations; Darcy’s law; Boussinesq approximations; outer layer; balance between convection and bouyancy; inner layer; conduction and convection; magnetic drag Citations:Zbl 0502.76100 PDFBibTeX XMLCite \textit{P. G. Daniels} et al., Proc. R. Soc. Lond., Ser. A 382, 135--154 (1982; Zbl 0537.76063) Full Text: DOI