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A note on convection with nonlinear heat flux
Authors:Brian Straughan
Institution:(1) Department of Mathematical Sciences, Durham University, Durham, DH1 3LE, UK
Abstract:The problem of thermal convection is investigated when the heat flux is a nonlinear function of the temperature gradient. A complete analysis of the linear instability problem is given. The nonlinear stability problem is studied in a case which is believed to be physically relevant and the stability threshold is compared directly to that found by linear instability theory.
Keywords:Convection  Nonlinear heat flux  Stability  Instability
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