APPLICATION OF HOMOTOPY PERTURBATION METHOD TO HEAT TRANSFER IN NANOFLUIDS

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,

PDF

___

Ayati, Z. and Biazar, J. (2015). “On the Convergence of the Homotopy Perturbation Method.” Journal of the Egyptian Mathematical Society, Issue 23. pp. 424-428
Do, k. h. and Jang S. (2010). “Effect of nanofluids on the thermal performance of a flat micro heat pipe with a rectangular grooved wick.” International Journal of Heat and Mass Transfer, 53 , pp 2183 – 2192
Hamad M.A.A. (2011). “Analytical solution of natural convection flow of a nanofluid over a linearly stretching sheet in the presence of magnetic field.” International Communications in Heat and Mass Transfer, Vol. 38, Issue 4, pp 487 – 492.
Oahimire J.I, Bazuaye F.E and Harry T. H ((2016). “Numerical method for the analysis of thermal radiation on heat transfer in nanofluid.” Journal of Nanoscience and Technology, Vol.3, Issue 1, pp 1-4
Uddin M.J., Kahn W. A., and Ismail A.I. (2012) “MHD Free Convective Boundary Layer flow of a Nanofluid past a Flat Vertical Plate with Newtonian Heating Boundary condition.” PLoS ONE 7(11): e49499 doi:10.1371/journal.pone.49499
Wang X., Xu X. and Choi S.U.S. (1999). “Thermal conductivity of nanoparticle - fluid mixture.” Journal of Thermophysics and Heat Transfer, Vol. 13, No. 4, pp 474 – 80.

ISSN: 2587-1366
Yayın Aralığı: Yılda 4 Sayı
Başlangıç: 2017
Yayıncı: Mersin Uüniversitesi

Arşiv