Proceedings of International Conference on Applied Innovation in IT
2026/03/31, Volume 14, Issue 1, pp.259-266

Computational Analysis of Williamson Fluid Flow in Porous Medium


Hazim Aneed Migtaa and Liqaa Zeki Hummady


Abstract: The peristaltic motion of a two-dimensional Williamson fluid has been analyzed within an inclined, asymmetric channel saturated with a porous medium and subjected to rotation. The system was further influenced by an externally imposed electric field and an obliquely oriented magnetic field. A presumption of a long wavelength and a low Reynolds number were used to make the analytical investigation of the nonlinear governing equations easier. Using the perturbation method, formulas for the axial velocity, pressure gradient, and stream function were methodically derived through symbolic computation using Mathematica software. A detailed investigation was then conducted into the effects of changes in physical parameters, including the flexibility of the porous matrix, rotation rate, magnetic field inclination, and the Williamson parameter, on flow properties including pressure variations, velocity distribution, and trapping phenomena. The results, supported by a detailed graphical interpretation, offer valuable insights into electro-magnetohydrodynamic (EMHD) peristaltic flow and have theoretical implications for physiological and industrial fluid systems.

Keywords: Peristaltic Flow, Rotation, Magnetic Felid, Stress, Electric Field.

DOI: Under indexing

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