Penetrative Bénard-Marangoni Convection in a Micropolar Ferrofluid Layer via Internal Heating and Submitted to a Robin Thermal Boundary Conditions — Oak Academic Publishing
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Penetrative Bénard-Marangoni Convection in a Micropolar Ferrofluid Layer via Internal Heating and Submitted to a Robin Thermal Boundary Conditions
Department of Mathematics, Dr. Ambedkar Institute of Technology, Bangalore, India
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Department of Mathematics, Dr. Ambedkar Institute of Technology, Bangalore, India
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Department of Mathematics, Dr. Ambedkar Institute of Technology, Bangalore, India
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Department of Mathematics, Cambridge College of Engineering, Bangalore, India
1 Department of Mathematics, Dr. Ambedkar Institute of Technology, Bangalore, India
2 Department of Mathematics, Dr. Ambedkar Institute of Technology, Bangalore, India
3 Department of Mathematics, Dr. Ambedkar Institute of Technology, Bangalore, India
4 Department 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 M 1 , the non-linearity of magnetization parameter M 3 , coupling parameter N 1 , spin diffusion parameter N 3 and micropolar heat conduction parameter N 5 . The results show that the onset of ferroconvection is delayed with an increase in N 1 and N 5 but hastens the onset of ferroconvection with an increase in M 1 , M 3 , N 3 and N s . The dimension of ferroconvection cells increases when there is an increase in M 3 , N 1 , N 5 and N s and decrease in M 1 and N 3 .
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