Peristaltic Bile Flow in Papilla Ampoule of Porous Walls and Inclined Eccentric Catheterized Duct
Abstract
In this study, the combined effects of inclination and catheter on the biliary flow of a Carreau fluid through an eccentric catheterized duct with a porous material are mathematically investigated. The perturbation technique is employed to solve the governing equations, considering low Reynolds numbers, a long-wavelength approximation, and suitable small parameters. The surgical technique, when a catheter is inserted eccentrically into the duct, is connected to the outcomes of the investigation. Several parameters have been used to achieve the analytical solutions. Axial velocity, pressure gradient, flow rate, and wall shear stress are displayed in these data, together with the following emergent parameters: wall slip parameter, Weissenberg number, fluid behavior index, Darcy number, and angle of inclination. The pressure gradient is significantly altered by the angle of inclination and porosity parameter, and the catheter's axial velocity falls as the Weissenberg number rises. The physiological observations are consistent with these findings.
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