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. 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 parameter M1. ; 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.
Zielona Góra: Uniwersytet Zielonogórski
IJAME, volume 25, number 1 (2020)
Biblioteka Uniwersytetu Zielonogórskiego
2023-07-06
2023-02-09
85
https://zbc.uz.zgora.pl/publication/77731
Chand, Suresh Jurczak, Paweł - red.
Kpossa, Gbedodé Mathieu Monwanou, Vincent A. Jurczak, Paweł - red.
Sharma, Bhupendra K. Sharma, Pawan Kumar Chauhan, Sudhir Kumar Jurczak, Paweł - red.
Santhi Kumari, Dharani Kota Sajja, Venkata Subrahmanyam Kishore, Perugu Mohana Jurczak, Paweł - red.
Sharma, Ram Prakash Jha, Abhay Kumar Gaur, P.K. Mishra, Radhey Shyam Jurczak, Paweł - red.
Sekar, R. Murugan, D. Jurczak, Paweł - red.
Kumar, P. Pramod Malga, Bala Siddulu Appidi, Lakshmi Matta, Sweta Jurczak, Paweł - red.
Singh, K.D. Jurczak, Paweł - red.