Effect of Cubic Temperature Profiles on Ferro Convection in a Brinkman Porous Medium

Journal of Applied Fluid Mechanics

I. S. Shivakumara¹  Dr. Nanjundappa C. E²  R. Arunkumar³ 

[1] Department of Mathematics, Bangalore University, Bangalore-560 056;Dr. A.I.T;Sai vidya Institute of Technology;

关键词: Ferrofluid;    Cubic temperature profiles;    Ferro convection in Brinkman porous medium;    Rayleigh-Ritz technique.;   

DOI  :  

来源: DOAJ

【 摘 要 】

The effect of cubic temperature profiles on the onset ferroconvection in a Brinkman porous medium in presence of a uniform vertical magnetic field is studied. The lower and upper boundaries are taken to be rigid-isothermal and ferromagnetic. The Rayleigh-Ritz method with Chebyshev polynomials of the second kind as trial functions is employed to extract the critical stability parameters numerically. The results indicate that the stability of ferroconvection is significantly affected by cubic temperature profiles and the mechanism for suppressing or augmenting the same is discussed in detail. It is observed that the effect of Darcy number magnetic number and nonlinearity of the fluid magnetization parameter is to hasten, while an increase in the ratio of viscosity parameter and Biot numberis to delay the onset of ferroconvection in a Brinkman porous medium. Further, increase inand decrease inis to decrease the size of the convection cells.

【 授权许可】

Unknown