Evaluation of closed-form solutions based on the HPM and HAM approaches for the steady flow of third grade fluids in a porous half space

A. Kimiaeifar, O.T. Thomsen, E. Lund

Research output: Contribution to journalArticle (Academic Journal)

Abstract

In this paper, a closed-form solution for the steady flow of a third grade fluid in a porous half-space is presented. The governing non-linear ordinary differential equation is solved in closed form by means of the homotopy perturbation method (HPM), and it is shown that just two terms in the series expansion is sufficient to obtain a highly accurate solution which is valid for the whole domain. The results obtained are compared with numerical results obtained using a fourth-order Runge?Kutta method and the homotopy analysis method (HAM). Close agreement of the two sets of results is observed thus demonstrating the accuracy of the HPM approach for the particular problem considered.
Original languageEnglish
Pages (from-to)326-339
Number of pages14
JournalIMA Journal of Applied Mathematics
Volume76
Issue number2
Publication statusPublished - 1 Apr 2011

Keywords

  • homotopy perturbation method, hpm, steady flow, homotopy analysis method, ham, velocity distribution

Fingerprint Dive into the research topics of 'Evaluation of closed-form solutions based on the HPM and HAM approaches for the steady flow of third grade fluids in a porous half space'. Together they form a unique fingerprint.

  • Cite this