Analysis of Thin Non-Newtonian Fluid Film on a Wall using OHAM and HPM

Muhammad Farooq; Faridoon Shahid; Shakoor Muhammad; Syed Abdullah Shah; Rashid  Jan

doi:10.62270/jirmcs.v4i1.40

Analysis of Thin Non-Newtonian Fluid Film on a Wall using OHAM and HPM

Authors

Muhammad Farooq Department of Mathematics, Abdul Wali Khan University, Mardan, 23200, KP, Pakistan https://orcid.org/0000-0003-3392-101X
Faridoon Shahid Department of Mathematics, Abdul Wali Khan University, Mardan, 23200, KP, Pakistan https://orcid.org/0009-0006-8671-8049
Shakoor Muhammad Department of Mathematics, Abdul Wali Khan University, Mardan, 23200, KP, Pakistan https://orcid.org/0000-0001-5104-6832
Syed Abdullah Shah Department of Mathematics, Abdul Wali Khan University, Mardan, 23200, KP, Pakistan
Rashid Jan Department of Civil Engineering, College of Engineering Universiti Tenaga Nasional (UNITEN), Putrajaya, Selangor, Malaysia. https://orcid.org/0000-0001-9709-7045

DOI:

https://doi.org/10.62270/jirmcs.v4i1.40

Keywords:

Non-Newtonian fluid, Thin film flow, MHD, OHAM, HPM

Abstract

This work investigates the Johnson-Segalman fluid's magneto-hydrodynamic (MHD) thin-film flow in lifting conditions on a vertical surface. The basic equations of linear momentum and continuity that govern the flow are reduced to an ordinary differential equation. To solve the nonlinear differential equation that arises from the mathematical modelling of the flow, we have used the Optimal Homotopy Asymptotic Method and Homotopy Perturbation Method. The effect of various non-dimensional parameters, such as the applied magnetic field, Weissenberg number, and Stokes number, on the velocity profile is elaborated through various graphs.

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Published

2025-06-30

Issue

Vol. 4 No. 1 (2025): January-June

Section

Articles

License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution (CC-BY) 4.0 License that allows others to share the work with an acknowledgment of the work’s authorship and initial publication in this journal.

How to Cite

[1]

M. Farooq, F. Shahid, S. Muhammad, S. A. Shah, and R. . Jan, “Analysis of Thin Non-Newtonian Fluid Film on a Wall using OHAM and HPM”, jirmcs, vol. 4, no. 1, pp. 19–36, Jun. 2025, doi: 10.62270/jirmcs.v4i1.40.