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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Imprimir: 2152-5102
ISSN On-line: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v38.i5.60
pages 450-457

The Necessary Condition for the Onset of Stationary Convection in Couple-Stress Fluid

Ajaib S. Banyal
Department of Mathematics, Govt. College Nadaun, Dist. Hamirpur, (HP) India 177033

RESUMO

The thermal instability of a couple-stress fluid heated from below is investigated. Following the linearized stability theory and normal mode analysis, the paper mathematically establishes that the onset of instability at marginal state, cannot manifest itself as stationary convection, if the thermal Rayleigh number R and the couple-stress parameter F, satisfy the inequality R≤ (27π4)/4{1+(3π2/2)F}, the result which also clearly mathematically established the stabilizing character of the couple-stress.


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