Extended homotopy perturbation method and the axisymmetric flow past a porous stretching sheet

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


The extended homotopy perturbation method, which is an extension of the celebrated homotopy perturbation method (HPM), is applied to obtain a solution to the problem of the steady, laminar, axisymmetric flow of a viscous, incompressible fluid past a porous stretching sheet. The solution so obtained is totally analytical and is expressible in terms of the cross-flow velocity of the fluid past the stretching sheet. Its hallmark is that it does not depend upon computation of any auxiliary parameter for enlarging the convergence region of the solution. Rather, it calculates the solution automatically adjusting the scaling factor of the independent similarity variable normal to the sheet. The results obtained by the extended HPM are in excellent agreement with the exact numerical solution. Also, an asymptotic solution valid for large suction parameter is developed, which matches well with the exact solution even for moderate values of the suction parameter.

Original languageEnglish
Pages (from-to)909-925
Number of pages17
JournalInternational Journal for Numerical Methods in Fluids
Issue number5
Publication statusPublished - Jun 20 2012


  • Ackroyd's method
  • Asymptotic solution
  • Axisymmetric flow
  • Extended homotopy perturbation method
  • Homotopy perturbation method
  • Stretching sheet

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics


Dive into the research topics of 'Extended homotopy perturbation method and the axisymmetric flow past a porous stretching sheet'. Together they form a unique fingerprint.

Cite this