Effect of Nonlinear Temperature Gradient on the onset of Rayleigh-Benard Electro Convection with Internal Heat Generation and Radiation in a Micropolar Fluid

[1]

**Nurul Afiqah Mohd Isa**, Department of Mathematics, University Putra Malaysia, Kuala Lumpur, Malaysia.

[2]

**Norihan Md Arifin**, Department of Mathematics, University Putra Malaysia, Kuala Lumpur, Malaysia; Institute for Mathematical Research, University Putra Malaysia, Kuala Lumpur, Malaysia.

[3]

**Norfifah Bachok**, Department of Mathematics, University Putra Malaysia, Kuala Lumpur, Malaysia; Institute for Mathematical Research, University Putra Malaysia, Kuala Lumpur, Malaysia.

In this article, we have examined Rayleigh-Benard convection in a micropolar fluid with electric field, internal heat generation and cubic temperature gradient for six possible boundaries combination. Galerkin technique was used to find the eigenvalue and linear stability analysis was present. The influence of internal heat generation and nonlinear temperature gradient is studied numerically. Three nonlinear temperature gradients were considered and their comparison effect on the convection was dissertated. Results show that the internal heat generation has a significant influence on the onset convection where increasing the internal heating will destabilize the fluid system.

Rayleigh Benard Convection, Internal Heat Generation, Electric Field, Micropolar Fluid

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