Resonant penetrative convection in porous media with an internal heat source/sink effect

Akil J. Harfash

Applied Mathematics and Computation, 2016, vol. 281, issue C, 323-342

Abstract: We study the model of penetrative convection in a porous layer which involves a heat source which varies linearly with vertical height across the layer. This allows us to obtain very strong resonance between sub-layers. The mathematical analysis involves a linear instability technique which yields a definite instability boundary coupled with a global nonlinear energy stability analysis which yields a definite stability threshold. In addition to a linearized instability analysis, the global unconditional nonlinear stability thresholds are derived. Then, the accuracy of the linear instability thresholds are tested using a three dimensional simulation. The results support the assertion that the linear theory , in general, is accurate in predicting the onset of convective motion, and thus, regions of stability.

Keywords: Thermal convection; Resonance; Thermal insulation; Subcritical instability (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:281:y:2016:i:c:p:323-342

DOI: 10.1016/j.amc.2016.01.006

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