The extended homotopy perturbation method and boundary layer flow due to condensation and natural convection on a porous vertical plate

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4 Citations (Scopus)

Abstract

The extended homotopy perturbation method (EHPM), which is an extension to the well-known homotopy perturbation method (HPM) due to He, is applied to derive the analytical solution of the boundary layer flow of falling vapour due to the condensation on a cold, porous vertical plate. The EHPM calculates the solution automatically by adjusting the scaling factor of the independent similarity variable normal to the plate. The results obtained by the EHPM are in excellent agreement with the exact numerical solution. Also an asymptotic solution, valid for a large suction parameter is developed which matches very well with the exact solution even for moderate values of the suction velocity. Finally, it is shown that the EHPM solution is also applicable to the moderate values of blowing across the plate.

Original languageEnglish
Pages (from-to)3535-3552
Number of pages18
JournalInternational Journal of Computer Mathematics
Volume88
Issue number16
DOIs
Publication statusPublished - Nov 1 2011

Keywords

  • Ackroyd's method
  • a porous vertical plate
  • asymptotic solution
  • extended homotopy perturbation method
  • homotopy perturbation method

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Theory and Mathematics
  • Applied Mathematics

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