Abstract

APPLICATION OF HOMOTOPY PERTURBATION METHOD TO HEAT TRANSFER IN NANOFLUID

J. I. Oahimire,* B. I. Olajuwon** and O. A. Adeokun***

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Homotopy perturbation method is applied to study heat transfer in Nanofluid in the presence of thermal radiation. The advantage of the HPM is that it eliminates the limitation of perturbation method, hence, it is applicable in the absence of a small parameter. The governing equations are formulated based on already existing model and are transformed to ordinary differential equations using stream function and similarity variables. The resulting dimensionless equations are then solved by Homotopy perturbation method. The effects of some governing parameters on the rate of heat transfer are discussed with the help of a table generated. The rate of heat transfer increases with increase in solid volume fraction parameter, magnetic field parameter and Grashof number parameter for different nanoparticles. Keywords: Nanofluid, Magnetohydrodynamics, Homotopy perturbation method, heat transfer and Radiation.

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