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Global stability for convection induced by absorption of radiation |
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| Authors: | B Straughan |
| Institution: | 1. Department of Mathematics, Rayalaseema University, Kurnool, Andhra Pradesh 518007, India;2. Department of Basic Science and Humanities, GITMW, Proddatur, Kadapa, Andhra Pradesh 516360, India;1. Fluid Dynamics Research, Department of Mathematics, Goalpara College, Goalpara, Assam 783101, India;2. ETS Ingeniería Industrial, Departamento de Ingeniería Térmica y Fluidos, Universidad Politécnica de Cartagena, 30202 Cartagena (Murcia), Spain;3. Department of Mechanic Eng., Universidad de La Rioja, C/Luís de Ulloa, 20, E-26004 Logroño (La Rioja), Spain;1. Heat Transfer and Fluid Mechanics Research, Department of Mathematics and Computing, Rajiv Gandhi University, Rono Hills 791112, Arunachal Pradesh, India;2. Department of Mathematics, Indira Gandhi College, Boitamari, Bongaigaon 783389, Assam, India;3. Manufacturing Engineering Department, The Public Authority for Applied Education and Training, Shuweikh 70654, Kuwait |
| Abstract: | We study the linear instability and nonlinear stability of a model, for convection induced by selective absorption of radiation, due to Krishnamurti. The nonlinear analysis yields critical Rayleigh numbers very close to the critical ones of linear instability theory and this demonstrates that linear theory effectively captures the physics of the onset of convection. Realistic boundary conditions appropriate to fixed surfaces are analysed and these reflect the experiments performed by Krishnamurti. The results obtained here lend much credence to use of the model of Krishnamurti for convection in a fluid layer stably stratified when the heat source depends on the concentration of the stratifying agent. |
| Keywords: | Penetrative convection Nonlinear stability Subcritical instability Stable stratification |
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