THERMAL SCIENCE

International Scientific Journal

Ibrahim Mahariq

,

Mehreen Fiza

,

Arshad Syed Abas

,

Hakeem Ullah

,

Ali Akgul

,

Ghada R. Elnaggar

,

Ilyas Khan

,

Wei Sin Koh

MODELING AND SIMULATIONS OF THIN FILM MAGNETIZED SISKO FLUID-FLOW ON AN UNSTEADY STRETCHING SURFACE

ABSTRACT
The core concept revolves around the applications and mechanisms of thin film flow. Thin films are widespread, and understanding their behavior is crucial due to their extensive range of practical applications in engineering and industries. In this study 2-D thin film flow of Sisko fluid on an unsteady stretching sheet in the presence of a uniform magnetic field MHD is analyzed. The fluid moves with the stretching of the lower plate. Due to the applied magnetic field of strength Bo, the fluid is assumed to be electrically conducting. The governing equations of the flow of Sisko fluid are in the form of PDE which are converted to the ODE by the use of self-similar transformation with a non-dimensional unsteadiness factor, St. The finite element method (FEM) along with 4th order Runge Kutta method (RKM-4) have been utilized to find the solution of the modeled equations. Comparison between homotopy analysis method (HAM), FEM and 4th order RKM numerical procedure are shown numerically. The effect of different physical parameters on the flow profiles is discussed with a physical explanation in result and discussion section through graphs and tables. The velocity profile enhanced with the higher values of Sisko fluid parameter whereas decline with magnetic factor.
KEYWORDS
thin film flow, unsteady stretching sheet, smart grid, MHD, FEM
PAPER SUBMITTED: 2024-11-11
PAPER REVISED: 2025-02-14
PAPER ACCEPTED: 2025-04-27
PUBLISHED ONLINE: 2025-09-26
DOI REFERENCE: https://doi.org/10.2298/TSCI2504045M
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2025, VOLUME 29, ISSUE Issue 4, PAGES [3045 - 3059]
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Modeling and simulations of thin film magnetized Sisko fluid-flow on an unsteady stretching surface

2025 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence