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Mixed convective peristaltic flow of Magnetohydrodynamic Xanthan gum fluid in a curved channel

Sadia AyubIqra University, Chak Shahzad Campus, PakistanMohammad Saud AfzalCenter for Applied Matheamtics and Bioinformatics, Department of Mathematics and Natural Sciences, Gulf University for Science & Technology, 32093 Hawally, KuwaitDilsora AbduvalievaDepartment of Mathematics and Information Technologies, Tashkent State University, Bunyodkor avenue, 27, Tashkent, 100070, UzbekistanDana Mohammad Khidhir
ABI

Abstract

This study investigates the peristaltic flow of an electrically conducting non-Newtonian fluid modeled by the Ellis formulation, representative of Xanthan gum, through a curved channel under the influence of magnetohydrodynamics (MHD), mixed convection, thermal radiation and chemical reactions. A radially applied magnetic field is considered, the problem is formulated under the assumptions of long wavelength and low Reynolds number. The governing equations are solved numerically using Mathematica’s NDSolve. The results reveal that axial velocity increases with the Grashof number and chemical reaction parameter, while temperature rises with the magnetic field and thermal radiation parameters. Concentration is enhanced by the Soret number but diminishes with a higher Schmidt number. Non-symmetric behavior is observed in velocity and concentration profiles due to the curvature of the channel. Heat transfer and shear stress are also significantly affected by these physical parameters. The novelty of the study lies in the combined modeling of Xanthan gum-based Ellis fluid with MHD and mixed convective effects in a curved geometry.

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