Application of homotopy perturbation method on special third grade fluid flow with viscous dissipation effect over a stretching sheet

Autor:	Sradharam Swain, Bharat Keshari Swain, Bikash Sahoo
Rok vydání:	2022
Předmět:	Computational Theory and Mathematics General Physics and Astronomy Statistical and Nonlinear Physics Mathematical Physics Computer Science Applications
Zdroj:	International Journal of Modern Physics C. 34
ISSN:	1793-6586 0129-1831
DOI:	10.1142/s0129183123500602
Popis:	This paper investigates the flow and heat transfer of special third-grade fluid with a viscous dissipation effect over a stretching sheet. This model, adequate for many non-Newtonian fluids, is used to characterize the behavior of the fluids domain. The governing momentum and energy equation are reduced to ordinary nonlinear differential (self-similar) equations via the Lie group transformation method. The Homotopy Perturbation Method (HPM) is applied to solve these obtaining results. For validation, current results have been compared with the fourth-order Runga method (RK4) and shooting technique. The effects of physical parameters on fluid velocity and temperature profile were investigated with the aid of figures and tables by simply altering a single parameter while keeping the others constant. It is observed that both the non-Newtonian parameter and the Prandtl number have the effect of decreasing the temperature of the stretching surface, while the opposite behavior was found for the Eckert number.
Databáze:	OpenAIRE
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