Stability of Natural Convection in a Horizontal Layer induced by Internal Heating

摘要

A natural convection in a horizontal fluid layer induced by internal heat generation distributed non-uniformly was studied. We considered the heat source distribution to vary exponentially to the vertical direction. Stability of the fluid layer was analyzed in cases that heat source concentrates on the bottom, and on the upper boundary. Variations of critical values, critical Rayleigh number and critical wave number, with respect to the specific scale of the heat source distribution were obtained. The analysis clarified the effects of such heat source distributions on the critical values of the natural convection.