APPLICATION OF HOMOTOPY PERTURBATION METHOD TO HEAT TRANSFER IN NANOFLUIDS

Abstract

This paper investigates heat transfer in a nanofluid using the Homotopy Perturbation method. Similarity transformation variables and a stream function are used to transform the partial differential equations governing the fluid flow into ordinary differential equations. He’s Homotopy perturbation method is then used to solve the resulting dimensionless equations. It was discovered that an increase in the fraction number, magnetic parameter or Grashof number led to a corresponding increase in the rate of heat transfer regardless of the nanoparticles in the fluid. These results are in agreement with those found in existing literature.

Keywords

• nanofluids
• similarity transformation
• homotopy perturbation method
• heat transfer

References

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