The onset of thermal convection in couple-stress fluid in hydromagnetics saturating a porous medium

• Autorzy: Rana G. C.

Identyfikatory

DOI

10.2478/bpasts-2014-0035

• Języki publikacji: EN

Abstrakty

EN

In this paper, the effect of magnetic field on thermal convection in couple-stress fluid saturating a porous medium is considered. By applying linear stability theory and the normal mode analysis method, a mathematical theorem is derived which states that the viscoelastic thermal convection at marginal state, cannot manifest as stationary convection if the thermal Rayleigh number R, the medium permeability parameter Pι the couple-stress parameter F and the Chandrasekher number Q, satisfy the inequality R ≤4π²/P_l (1 + 2π²F + P_lQ/2ε) the result clearly establishes the stabilizing character of couple-stress parameter and magnetic field whereas destabilizing character of medium permeability.

Słowa kluczowe

EN

couple stress fluid; magnetic field; porous medium; thermal convection

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2014
• Tom: Vol. 62, nr 2
• Strony: 357--362
• Opis fizyczny: Bibliogr. 13 poz., rys.

Twórcy

autor

Rana G. C.

• Department of Mathematics, Sidharth Govt. Degree College, Nadaun-177 033, District Hamirpur, Himachal Pradesh, India

Bibliografia

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• [10] V. Sharma and G.C. Rana, “Thermal instability of a Walters’ (model B′) elastico-viscous fluid in the presence of variable gravity field and rotation in porous medium”, J. Non-Equilib. Thermodyn. 26, 31–40 (2001).
• [11] G.C. Rana, V. Sharma, and S. Kumar, “Stability of incompressible Rivlin-Ericksen elastico-viscous superposed fluids in the presence of Uniform horizontal magnetic field in porous medium”, J. Appl. Math. and Fluid Mech. 2, 41–47 (2011).
• [12] V. Kumar, “Stability of stratified couple-stress dusty fluid in the presence of magnetic field through porous medium”, Appl. And Appl. Math. 6, 510–521 (2011).
• [13] G.C. Rana and V. Sharma, “Hydromagnetic thermosolutal instability of compressible Walters’ (model) rotating fluid permeated with suspended particles in porous medium”, Int. J. Multiphysics 5, 325–338 (2011).