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

Lafta, Hana I.; Jaafar, Zainab A.; Ibraheem, Rana G.; Khalil, Shuker

doi:10.47974/JIM-2243

Open Access Research Article

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

^*Hana I. LaftaCorresponding authorhanaibra2022@gmail.comDepartment of MathematicsDiyala Education DirectorateDiyala, IraqView full profile → , Zainab A. Jaafarzainabali611@tu.edu.iqDepartment of MathematicsCollege of Education -TuzkhurmatuTikrit UniversityTikrit, IraqView full profile → , Rana G. Ibraheemrana.ghazi1103a@sc.uobaghdad.edu.iqScientific Research CommissionBaghdad, IraqView full profile → , Shuker Khalilshuker.khalil@uobasrah.edu.iqDepartment of MathematicsCollege of ScienceUniversity of BasrahBasrah, IraqView full profile →

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pp. 95–104Vol. 29Issue 1January 2026DOI: 10.47974/JIM-2243XML

Received:: 11 Mar 2025
Published Online:: 14 Jan 2026
Article type:: Research Article
Language:: EN
Article no.:: JIM-2243
Pages:: 95–104

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 and 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.

Keywords

Elliptical duct Bingham plastic fluid Cartesian coordinate Eccentricity of ellipse Hydraulic diameter

Subject Classifications

Primary 93A30Secondary 49K15

References

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