Unsteady nonlinear magnetohydrodynamic micropolar transport phenomena with hall and ion-slip current effects : numerical study

Beg, OA; Beg, TA; Ferdows, M; Vasu, B; Kadir, A; Leonard, HJ; Kuharat, S

Abstract

Unsteady viscous two-dimensional magnetohydrodynamic micropolar flow, heat and mass transfer from an infinite vertical surface with Hall
and Ion-slip currents is investigated theoretically and numerically. The simulation presented is motivated by electro-conductive polymer (ECP)
materials processing in which multiple electromagnetic effects arise. The primitive boundary layer conservation equations are transformed
into a non-similar system of coupled non-dimensional momentum, angular momentum, energy and concentration equations, with
appropriate boundary conditions. The resulting two-point boundary value problem is solved numerically by an exceptionally stable and welltested implicit finite difference technique. A stability analysis is included for restrictions of the implicit finite difference method (FDM)
employed. Validation with a Galerkin finite element method (FEM) technique is included. The influence of various parameters is presented
graphically on primary and secondary shear stress, Nusselt number, Sherwood number and wall couple stress. Secondary (cross flow) shear
stress is strongly enhanced with greater magnetic parameter (Hartmann number) and micropolar wall couple stress is also weakl y
enhanced for small time values with Hartmann number. Increasing thermo-diffusive Soret number suppresses both Nusselt and Sherwood
numbers whereas it elevates both primary and secondary shear stress and at larger time values also increases the couple stress. Secondary
shear stress is strongly boosted with Hall parameter. Ion slip effect induces a weak modification in primary and secondary shear stress
distributions. The present study is relevant to electroconductive non-Newtonian (magnetic polymer) materials processing systems.

Citation

Beg, O., Beg, T., Ferdows, M., Vasu, B., Kadir, A., Leonard, H., & Kuharat, S. (2021). Unsteady nonlinear magnetohydrodynamic micropolar transport phenomena with hall and ion-slip current effects : numerical study. International Journal of Applied Electromagnetics and Mechanics, 65(2), 371-403. https://doi.org/10.3233/JAE-201508

• Journal Article Type: Article
• Acceptance Date: Jul 27, 2020
• Online Publication Date: Aug 3, 2020
• Publication Date: Feb 10, 2021
• Deposit Date: Jul 28, 2020
• Publicly Available Date: Jul 28, 2020
• Journal: International Journal of Applied Electromagnetics and Mechanics
• Print ISSN: 1383-5416
• Publisher: IOS Press
• Volume: 65
• Issue: 2
• Pages: 371-403
• DOI: https://doi.org/10.3233/JAE-201508
• Publisher URL: https://doi.org/10.3233/JAE-201508
• Related Public URLs: http://www.iospress.nl/journal/international-journal-of-applied-electromagnetics-and-mechanics/