Modeling of Position-Dependent Viscosity in Carreau Fluid Flow under the Influence of a Magnetic Field through a Curved Channel
DOI:
https://doi.org/10.29304/jqcsm.2026.18.32876Keywords:
Viscous Carreau fluid peristaltic flow, , Curved ChannelAbstract
The peristaltic motion is studied in this work by assuming the viscosity as a distance-dependent behavior for the Carreau fluid (a non-Newtonian fluid) inside a compliant wall curved channel. An external magnetic field is also considered. A. Importance of the study in biomedical and engineering applications (mechanical behavior of physiological systems.
The mathematical formulation of the problem results in a system of nonlinear partial differential equations with corresponding boundary conditions. These equations are non-dimensionalized, and simplified under the assumptions of low Reynolds number and long wavelength to produce a more analytically tractable model.
The resulting problem is solved numerically using Mathematica, and the accuracy of the results is validated through comparison with previously published studies.
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Copyright (c) 2026 Salwa K. Kazem Al-Tamimi, Dheia G. Salih Al-Khafajy
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