Author(s)

H. Nagarathnamma¹, A. Pavithra¹, C. E. Nanjundappa¹, S. P. Suma²

¹Department of Mathematics, Dr. Ambedkar Institute of Technology, Bangalore, India.
²Department of Mathematics, Cambridge College of Engineering, Bangalore, India.

Penetrative Bénard-Maranagoni convection in micropolar ferromagnetic fluid layer in the presence of a uniform vertical magnetic field has been investigated via internal heating model. The lower boundary is considered to be rigid at constant temperature, while the upper boundary free open to the atmosphere is flat and subject to a convective surface boundary condition. The resulting eigenvalue problem is solved numerically by Galerkin method. The stability of the system is found to be dependent on the dimensionless internal heat source strength N_s, magnetic parameter M₁, the non-linearity of magnetization parameter M₃, coupling parameter N₁, spin diffusion parameter N₃ and micropolar heat conduction parameter N₅. The results show that the onset of ferroconvection is delayed with an increase in N₁ and N₅ but hastens the onset of ferroconvection with an increase in M₁, M₃, N₃ and N_s. The dimension of ferroconvection cells increases when there is an increase in M₃, N₁, N₅ and N_s and decrease in M₁ and N₃.

Bénard-Maranagoni, Micropolar Ferrofluid, Galerkin Method, Penetrative Convection, Internal Heating

Nagarathnamma, H. , Pavithra, A. , Nanjundappa, C. and Suma, S. (2018) Penetrative Bénard-Marangoni Convection in a Micropolar Ferrofluid Layer via Internal Heating and Submitted to a Robin Thermal Boundary Conditions. Journal of Electromagnetic Analysis and Applications, 10, 88-105. doi: 10.4236/jemaa.2018.105007.