Magneto-Convection Flow of Micropolar Eyring-Powell Fluid from a Revolving Cone with Hall Current and Ohmic Heating Effects

Articles in Press

Document Type : Research Paper

Authors
Shaik Abdul Gaffar 1
Osman Anwar Bég 2
Tasveera A. Beg 3
Sireetorn Kuharat 2
Pedakamu Ramesh Reddy 4
1 Supporting Requirements Department, Sciences and Mathematics Unit, University of Technology and Applied Sciences Salalah, 211, Sultanate of Oman
2 Multi-Physical Engineering Sciences Group, Mechanical Engineering Department, Corrosion and Coatings Lab, Room 3-08, SEE Building, University of Salford, Manchester, M54WT, United Kingdom
3 Engineering Mechanics Research, Israfil House, Dickenson Rd., Manchester, M13, United Kingdom
4 Department of Mathematics, Madanapalle Institute of Technology & Sciences, Madanapalle, 517325, India
10.22055/jacm.2026.48643.5388
Abstract
As a simulation of electromagnetic rheological spin coating flow, a theoretical study is conducted on the nonlinear, steady-state boundary layer flow and heat transfer of an incompressible Eyring-Powell non-Newtonian micropolar fluid about a spinning cone with magnetic field, Hall current, viscous dissipation, Ohmic (Joule) heating and power-law variation in temperature. In order to simulate the polymer microstructural and shearing features, the Eringen’s micropolar and Eyring-Powell rheological models are coupled. The micropolar model accurately simulates certain polymeric fluids and includes micro-element gyratory rotating motions. The transformed conservation equations are solved numerically subject to physically appropriate boundary conditions using a second order accurately implicit finite-difference Keller Box technique. Verification with previous special cases from the literature is included. The novelty of the present study is therefore the simultaneous consideration of viscous dissipation, Joule magnetic heating, Hall current and the combined Eyring–Powell micropolar non-Newtonian model for spin coating on a non-isothermal rotating cone. The influence of a number of emerging non-dimensional parameters, namely first and second Eyring-Powell rheological fluid parameters (ε, δ), surface temperature exponent (m), Prandtl number (Pr), magnetic interaction parameter (M), Hall current parameter (βe), Eckert number (Ec), micropolar fluid material parameters (V1, λ), Eringen vortex viscosity parameter (K) and dimensionless tangential coordinate (ξ) on axial and tangential velocities, angular velocity and temperature evolution in the boundary layer regime are examined in detail. Furthermore, the effects of these parameters on Nusselt number (wall heat transfer rate), wall couple stress and both axial and tangential skin friction are also investigated. Increasing ε induces a weak axial flow near the cone surface, followed by a pronounced deceleration beyond a critical distance that persists into the freestream. In contrast, the tangential velocity is strongly enhanced throughout the boundary layer regime with increasing ε. Micro-element angular velocity increases away from the wall, though its magnitude remains smaller than near the cone surface. Additionally, higher values of ε significantly elevate the temperature and thicken the thermal boundary layer. Increasing K causes strong axial flow deceleration away from the cone surface, while the tangential velocity is enhanced. Higher values of K also lead to a significant rise in temperature across the boundary layer. Furthermore, increasing m results in pronounced axial deceleration, attenuation of micro-rotation and a substantial reduction in temperature. An increase in M, induces deceleration in both axial and tangential velocities, while significantly enhancing micro-rotation, particularly away from the cone surface. Temperature is also markedly elevated throughout the boundary layer with increasing M. Furthermore, increasing Ec, accounting for viscous and Joule heating effects, enhances the axial velocity, temperature, and micro-rotation, while suppressing the tangential velocity.
Keywords
Eyring-powell micropolar fluid
Hall current
Magnetohydrodynamics (MHD)
Ohmic and viscous heating
Revolving cone
Spin coating
Subjects

Publisher’s Note Shahid Chamran University of Ahvaz remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

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