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Homotopy Perturbation Analysis of Steady Free Convective Flow over a Nonlinearly Stretching Sheet in an Extended Darcy-Forchheimer Porous Medium with Viscous Dissipation

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Title Homotopy Perturbation Analysis of Steady Free Convective Flow over a Nonlinearly Stretching Sheet in an Extended Darcy-Forchheimer Porous Medium with Viscous Dissipation
 
Creator Jhankal, A K
 
Subject Free convective flow
Homotopy perturbation method (HPM)
Stretching sheet
Permeability
Extend-Darcy- Forchhemer porous medium
 
Description 925-931
This study conducts an analysis to investigate the steady free convective flow over a nonlinearly stretching sheet
immersed in an Extend-Darcy-Forchheimer porous medium with viscous dissipation. The governing nonlinear partial
differential equations are converted into self-similar nonlinear ordinary differential equations through the application of
similarity transformations. Subsequently, these transformed equations are solved using He's Homotopy Perturbation Method
(HPM), a semi-exact method with the notable advantage of not necessitating a small parameter in the equations, thus
circumventing the limitations associated with traditional perturbation methods. In this paper, we begin by providing a
concise introduction to the fundamental principles of HPM for addressing nonlinear differential equations, followed by its
application to obtain solutions for the nonlinear governing equations governing the flow, including the nonlinear term. The
study also presents and discusses the effects of various relevant physical parameters on the flow.
 
Date 2024-10-03T11:09:57Z
2024-10-03T11:09:57Z
2024-10
 
Type Article
 
Identifier 0975-0959 (Online); 0301-1208 (Print)
http://nopr.niscpr.res.in/handle/123456789/64674
https://doi.org/10.56042/ijpap.v62i10.8393
 
Language en
 
Publisher NIScPR-CSIR,India
 
Source IJPAP Vol.62(10) [October 2024]