In this paper, we investigated the onset of natural convection in a horizontal fluid layer due to nonuniform internal heat generation, which is relevant to a number of geophysical situations. We investigated a number of special cases, which we believe are paradigmatic. Those include linear, quadratic, concentrated, and exponential source strength distributions. Our results show that those situations that lead to a reduction/increase in the size of the region in which the basic temperature gradient is destabilizing lead to an increase/decrease in stability.
The Effect of Spatially Nonuniform Internal Heating on the Onset of Convection in a Horizontal Fluid Layer
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received September 17, 2015; final manuscript received January 25, 2016; published online March 22, 2016. Assoc. Editor: Antonio Barletta.
Kuznetsov, A. V., and Nield, D. A. (March 22, 2016). "The Effect of Spatially Nonuniform Internal Heating on the Onset of Convection in a Horizontal Fluid Layer." ASME. J. Heat Transfer. June 2016; 138(6): 062503. https://doi.org/10.1115/1.4032837
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