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Heat and mass transfer driven by stratified viscosity and thermal diffusion

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Abstract

The transfer of heat and mass by convection in fluid layers is a challenging task as it can be driven by different factors. In the present paper the coupled action of viscosity and thermal diffusivity, both stratified, is investigated. The thermal conduction steady state is found and it is shown that: (1) steady convection occurs; (2) linear stability guarantees nonlinear asymptotic exponential energy stability and global attractivity.

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Acknowledgements

This paper has been performed under the auspices of the G.N.F.M. of INdAM. The accuracy of the Referee is well acknowledged by the Author.

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Authors and Affiliations

  1. Department of Mathematics and Applications “R. Caccioppoli”, University of Naples Federico II, Complesso Universitario Monte S. Angelo, Via Cinzia, 80126, Naples, Italy

    Salvatore Rionero

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  1. Salvatore Rionero
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Correspondence to Salvatore Rionero.

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To Prof. Tommaso Ruggeri on the occasion of his 70th birthday.

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Rionero, S. Heat and mass transfer driven by stratified viscosity and thermal diffusion. Ricerche mat 68, 253–264 (2019). https://doi.org/10.1007/s11587-018-0405-9

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  • DOI: https://doi.org/10.1007/s11587-018-0405-9

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