Natural convective boundary-layer flow in a heat generating porous medium with a constant surface heat flux

作者：Merkin J H^*

来源：European Journal of Mechanics - B: Fluids , 2012, 36: 75-81.

DOI：10.1016/j.euromechflu.2012.04.004

• Convective flow
• Porous media
• Boundary-layer flow
• Local heat generation

The natural convection boundary-layer flow on a vertical surface in a porous medium with local heat generation proportional to (T-T-infinity)(p), where T is the local temperature and T-infinity is the ambient temperature, is considered when there is a constant surface heat flux. For small x, where x measures the distance along the surface, the flow and heat transfer are determined by the surface heat flux, with the local heating becoming more significant as x increases. Two different situations arise, depending on the exponent p, as to how the flow develops from the leading edge. For p %26lt; 2 the flow evolves to large distances with the local heating being the dominant effect for large x. For p %26gt; 2 a singularity develops in the solution at a finite value x(s) of x, with x(s) being dependent on p, leading to a thermal runaway. The nature of this singularity is discussed as well as the special case when p = 2.

• 出版日期2012-12