Comparative Analysis of Magnetohydrodynamic Inclined Poiseuille Flow of Couple Stress Fluids
نویسندگان
1 Operational Research Center in Healthcare, Near East University, 99138, Nicosia/TRNC Mersin 10, Turkey
2 Department of Mathematics, Faculty of Arts and Sciences, Near East University, 99138, Nicosia/TRNC Mersin 10, Turkey
3 Department of Mathematics, Abdul Wali Khan University, Mardan, KP, 23200, Pakistan
4 Department of Mathematics, Abdul Wali Khan University, Mardan, KP, 23200, Pakistan
5 Department of Mathematics, Abdul Wali Khan University, Mardan, KP, 23200, Pakistan
6 Operational Research Center in Healthcare, Near East University, 99138, Nicosia/TRNC Mersin 10, Turkey
doi
10.22059/jcamech.2025.391765.1402چکیده
In this paper, the inclined Poiseuille flow of a couple stress fluid between two parallel plates under the influence of a magnetic field is investigated using two analytical techniques: the Homotopy Analysis Method (HAM) and the Optimal Auxiliary Function Method (OAFM). The effects of various non-dimensional parameters on the velocity profile, temperature distribution, shear stresses, and flow rate are analyzed in detail. The solutions obtained from HAM and OAFM are compared through graphical and tabular representations, including residual error analysis. The results demonstrate that OAFM provides a more efficient and accurate solution than HAM. Ultimately, we conclude that both methods are effective in solving highly nonlinear differential equations and complex physical models.
