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

Sradharam Swain (), Bharat Keshari Swain and Bikash Sahoo ()
Additional contact information
Sradharam Swain: Department of Mathematics, National Institute of Technology Rourkela, Odisha 769008, India
Bharat Keshari Swain: Department of Mathematics, Agarpara College, Bhadrak, Odisha 756115, India
Bikash Sahoo: Department of Mathematics, National Institute of Technology Rourkela, Odisha 769008, India

International Journal of Modern Physics C (IJMPC), 2023, vol. 34, issue 05, 1-17

Abstract: 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.

Keywords: Lie group method; special third grade fluid; homotopy perturbation method; viscous dissipation; stretching sheet; Runga–Kutta method (search for similar items in EconPapers)
Date: 2023
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183123500602
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:34:y:2023:i:05:n:s0129183123500602

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183123500602

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().