The effect of magnetic field dependent viscosity on ferromagnetic convection in a rotating sparsely distributed porous medium - revisited

• Autorzy: Prakash J. , Kumar P. , Manan S. , Sharma K. R.

Identyfikatory

DOI

10.2478/ijame-2020-0010

• Języki publikacji: EN

Abstrakty

EN

The effect of magnetic field dependent (MFD) viscosity on the thermal convection in a ferrofluid layer saturating a sparsely distributed porous medium has been investigated by using the Darcy-Brinkman model in the simultaneous presence of a uniform vertical magnetic field and a uniform vertical rotation. A correction is applied to the study of Vaidyanathan et al. [11] which is very important in order to predict the correct behavior of MFD viscosity. A linear stability analysis has been carried out for stationary modes and oscillatory modes separately. The critical wave number and critical Rayleigh number for the onset of instability, for the case of free boundaries, are determined numerically for sufficiently large values of the magnetic parameterM1 . Numerical results are obtained and are illustrated graphically. It is shown that magnetic field dependent viscosity has a destabilizing effect on the system for the case of stationary mode and a stabilizing effect for the case of oscillatory mode, whereas magnetization has a destabilizing effect.

Słowa kluczowe

EN

ferrofluid; convection; rotation; magnetic field dependent viscosity; porous medium

PL

ferrofluid; konwekcja; pole magnetyczne; materiał porowaty

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2020
• Tom: Vol. 25, no. 1
• Strony: 142--158
• Opis fizyczny: Bibliogr. 24 poz., tab., wykr.

Twórcy

autor

Prakash J.

• Department of Mathematics and Statistics, Himachal Pradesh University Summer Hill, Shimla-171005, INDIA

autor

Kumar P.

• Department of Mathematics, School of Mathematics Computer and Information Science CUHP, Dharamsala (H.P.), INDIA

autor

Manan S.

• Department of Mathematics, SVSD PG College Bhatoli, Distt. UNA (H.P.) INDIA

autor

Sharma K. R.

• NIC, B-Wing, Level-3 Delhi, Secretariat Delhi-110002, INDIA

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020)