A note on certain perturbation methods for solving the problem of fully developed flow through a porous channel

Ali R. Ansari, Helmi Temimi, Mariam Kinawi, Abdul M. Siddiqui

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

In this paper, the recently developed Optimal Homotopy Asymptotic Method (OHAM) is applied to the problem of flow through a porous channel where the flow entry profiles are taken to be Poiseuil-leCouette combinations. Analytical as well numerical solutions for the velocity profiles of the resulting differential equations are obtained. Comparison with existing results reveal that the OHAM is an effective and easy to use technique for solving nonlinear problems.

Original languageEnglish (US)
Pages (from-to)1-9
Number of pages9
JournalIAENG International Journal of Applied Mathematics
Volume40
Issue number4
StatePublished - Nov 2010

Fingerprint

Homotopy Method
Asymptotic Methods
Perturbation Method
Differential equations
Velocity Profile
Nonlinear Problem
Numerical Solution
Differential equation
Profile

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

Cite this

@article{a43de44ee9624f27bc5514aea74dc48b,
title = "A note on certain perturbation methods for solving the problem of fully developed flow through a porous channel",
abstract = "In this paper, the recently developed Optimal Homotopy Asymptotic Method (OHAM) is applied to the problem of flow through a porous channel where the flow entry profiles are taken to be Poiseuil-leCouette combinations. Analytical as well numerical solutions for the velocity profiles of the resulting differential equations are obtained. Comparison with existing results reveal that the OHAM is an effective and easy to use technique for solving nonlinear problems.",
author = "Ansari, {Ali R.} and Helmi Temimi and Mariam Kinawi and Siddiqui, {Abdul M.}",
year = "2010",
month = "11",
language = "English (US)",
volume = "40",
pages = "1--9",
journal = "IAENG International Journal of Applied Mathematics",
issn = "1992-9978",
publisher = "International Association of Engineers",
number = "4",

}

A note on certain perturbation methods for solving the problem of fully developed flow through a porous channel. / Ansari, Ali R.; Temimi, Helmi; Kinawi, Mariam; Siddiqui, Abdul M.

In: IAENG International Journal of Applied Mathematics, Vol. 40, No. 4, 11.2010, p. 1-9.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A note on certain perturbation methods for solving the problem of fully developed flow through a porous channel

AU - Ansari, Ali R.

AU - Temimi, Helmi

AU - Kinawi, Mariam

AU - Siddiqui, Abdul M.

PY - 2010/11

Y1 - 2010/11

N2 - In this paper, the recently developed Optimal Homotopy Asymptotic Method (OHAM) is applied to the problem of flow through a porous channel where the flow entry profiles are taken to be Poiseuil-leCouette combinations. Analytical as well numerical solutions for the velocity profiles of the resulting differential equations are obtained. Comparison with existing results reveal that the OHAM is an effective and easy to use technique for solving nonlinear problems.

AB - In this paper, the recently developed Optimal Homotopy Asymptotic Method (OHAM) is applied to the problem of flow through a porous channel where the flow entry profiles are taken to be Poiseuil-leCouette combinations. Analytical as well numerical solutions for the velocity profiles of the resulting differential equations are obtained. Comparison with existing results reveal that the OHAM is an effective and easy to use technique for solving nonlinear problems.

UR - http://www.scopus.com/inward/record.url?scp=78649805567&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78649805567&partnerID=8YFLogxK

M3 - Article

VL - 40

SP - 1

EP - 9

JO - IAENG International Journal of Applied Mathematics

JF - IAENG International Journal of Applied Mathematics

SN - 1992-9978

IS - 4

ER -