Rheological study of hot Bingham fluid inside an oval canal with Laminar peristaltic flow

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Authors: Hana Lafta, Zainab A. Jaafar, Rana Ghazi Ibraheem, Shuker Ibraheem
Cited by: 0

Abstract

This research article is reported the rheology of peristaltic flow of hot Bingham fluid inside an elliptical channel with sinusoidal moving walls. Convert the dimensional mathematical problem to a dimensionless form when replacing the parameters nd using the long wavelength approximation. The governing equations were solved analytically to obtain files of velocity, and pressure gradient in addition to solutions for the flowing pressure height. The polynomial used is of the fourth order containing six constants that provide a solution to the velocity and flow function equations by laminar peristaltic transport for a non- Newtonian Bingham fluid. Using the Cartesian coordinate system by employing the ellipse equation in the channel boundary conditions. Showing the behavior of symmetrical axial flow through graphical results in the Mathematica mathematical program. Velocity files have parabolic shapes.

Fields of Study & Subjects

Rheology and Fluid Dynamics Studies Fluid dynamics and aerodynamics studies Fractional Differential Equations Solutions

Publication details

Journal / source
Journal of Interdisciplinary Mathematics
Volume
29
Issue
1
Pages
95–104
Publication date
1 January 2026