Free convection boundary layers on a vertical surface in a heat-generating porous medium |
| |
Authors: | Mealey, L. Merkin, J. H. |
| |
Affiliation: | Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK |
| |
Abstract: | The natural convection boundary-layer flow on a solid verticalsurface with heat generated within the boundary layer at a rateproportional to (T – T)p (p 1) is considered. The surfaceis held at the ambient temperature T except near the leadingedge where it is held at a temperature above ambient. The behaviourof the flow as it develops from the leading edge is examinedand is seen to become independent of the initial heat input;however, it does depend strongly on the exponent p. For 1 p 2, the local heating eventually dominates at large distancesand there is a convective flow driven by this mechanism. Forp 4, the local heating does not have a significant effect,the fluid temperature remains relatively small throughout andthe heat transfer dies out through a wall jet flow. For 2 <p < 4, the local heating has a significant effect at relativelysmall distances, with a thermal runaway developing at a finitedistance along the surface. |
| |
Keywords: | boundary layers free convection internal heat generation Porous media. |
本文献已被 Oxford 等数据库收录! |
|