Investigation of MHD micropolar flow between a stationary and a rotating disc: Keller-box solution

Abstract

In the present investigation, magnetohydrodynamic (MHD) micropolar fluid flow between a stationary disc and a rotating disc with a constant angular velocity is considered. The study investigates the effect of magnetic field and microrotation structure on the flow characteristics. The governing equations of motion are transformed to a system of nonlinear ordinary differential equations (ODEs) in dimensionless form using Von Karman’s similarity transformations. An algorithm based on implicit finite difference method-Keller-box Scheme is employed to solve the resulting similarity equations for various pertinent parameters. Numerical solutions of velocity profiles, pressure gradient and microrotation profiles are discussed, and presented through tables and graphs for various Magnetic parameter. Comparisons are made between the obtained results and previously reported findings in the literature. The successful validation against existing literature supports the effectiveness of the methodology employed in this investigation.

Keywords:

• Magnetohydrodynamics
• micropolar fluids
• finite difference methods
• Keller-box solution
• rotating disc flow
• micropolar fluids
• streamlines

REVIEWING EDITOR:

• D T Pham, University of Birmingham, United Kingdom

SUBJECTS:

• Mathematics & Statistics for Engineers
• Computational Mechanics
• Fluid Mechanics

Disclosure statement

No potential conflict of interest was reported by the authors. Param Tangsali-Conceptualization, Methodology, Software; Dr. Ashwini Bhat- Validation, Formal analysis, and writing the original draft; Dr. Nagaraj N. Katagi Writing Review and editing, Visualisation, and Supervision.

Correction Statement

This article has been corrected with minor changes. These changes do not impact the academic content of the article.