A numerical solution of the vertical boundary-layer equations in a horizontally heated porous cavity

✍ Scribed by P. G. Daniels

• Publisher: Springer
• Year: 1983
• Tongue: English
• Weight: 632 KB
• Volume: 17
• Category: Article
• ISSN: 0022-0833
• DOI: 10.1007/bf00040173

✦ Synopsis

A numerical scheme for the solution of the vertical boundary-layer equations in a two-dimensional horizontally heated cavity filled with a porous medium is described. A novel feature of the problem is that although the equations are parabolic, the core boundary conditions at the edge of the layer are not specified a priori. Instead the core stream function and temperature profiles must satisfy certain symmetry conditions requiring an iterative approach in the numerical scheme. The results confirm the possibility of the frequently assumed hypothesis in cavity flows that the vertical boundary layers empty into the core and thus complete the main flux circulfition in the cavity. The numerical results are compared with both asymptotic and approximate solutions of the equations.