Analysis of magneto-microstructural improvisation of Jeffery-Hamel flow of a viscoelastic fluid

Abstract

This article is structured around the mathematical analysis of magnetohydrodynamical flow through a stretching/shrinking nonparallel channel containing macromolecules with the ability to move independently. Maxwellian approach establishing the external magnetic field impact on the viscoelastic fluid flow appears as a body force in the classical fluid dynamic momentum equation. The mathematical model is reinforced by angular momentum equation for the complete description of the microstructural phenomena. The resulting nonlinear problem is numerical handled by the finite difference method of Keller box. The mathematical structure in the form of differential equations is solved and results are represented in the form of graphs and table for the values of physical parameters like Hartmann number (1≤Ha≤5), stretching parameter (−4≤C≤4), rotation parameter (3≤K≤9), Weissenberg number (0.3≤Wi≤0.9) and Reynolds number (50≤Re≤150). Of all the cases discussed, it is only the angular velocity in the divergent channel that seems to be increasing with increasing Hartmann number, indicating that microstructural rotations are stimulated by a strong magnetic field.

Keywords

Jeffery-Hamel (JH) flow / viscoelastic fluid / microstructure / numerical solution / nonlinear partial differential equations

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