Published 6 issues per year
ISSN Print: 2152-5102
ISSN Online: 2152-5110
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The Necessary Condition for the Onset of Stationary Convection in Couple-Stress Fluid
ABSTRACT
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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Layek G. C., Pati N. C., Chaotic thermal convection of couple-stress fluid layer, Nonlinear Dynamics, 91, 2, 2018. Crossref
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Arif Muhammad, Ali Farhad, Khan Ilyas, Nisar Kottakkaran Sooppy, A Time Fractional Model With Non-Singular Kernel the Generalized Couette Flow of Couple Stress Nanofluid, IEEE Access, 8, 2020. Crossref