Effect of Cubic Temperature Profiles on Ferro Convection in a Brinkman Porous Medium
سال انتشار: 1395
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 120
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شناسه ملی سند علمی:
JR_JAFM-9-4_037
تاریخ نمایه سازی: 3 بهمن 1400
چکیده مقاله:
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 number is to delay the onset of ferroconvection in a Brinkman porous medium. Further, increase in and decrease in is to decrease the size of the convection cells.
کلیدواژه ها:
Cubic temperature profiles ، Ferrofluid ، Ferro convection in Brinkman porous medium ، Rayleigh ، Ritz technique
نویسندگان
C. E. Nanjundappa
Department of Mathematics, Dr. Ambedkar Institute of Technology, Bangalore -۵۶۰ ۰۵۶, India
I. S. Shivakumara
UGC-Centre for Advanced Studies in Fluid Mechanics, Department of Mathematics, Bangalore University, Bangalore – ۵۶۰ ۰۰۱, India
R. Arunkumar
Department of Mathematics, Sai Vidya Institute of Technology, Bangalore- ۵۶۰ ۰۶۴, India