Abstract
A numerical study was carried out to examine the magnetohydrodynamic (MHD) flow of micropolar fluid on a shrinking surface in the presence of both Joule heating and viscous dissipation effects. The governing system of non-linear ordinary differential equations (ODEs) was obtained from the system of partial differential equations (PDEs) by employing exponential transformations. The resultant equations were transformed into initial value problems (IVPs) by shooting technique and then solved by the Runge–Kutta (RK) method. The effects of different parameters on velocity, angular velocity, temperature profiles, skin friction coefficient, and Nusselt number were obtained and demonstrated graphically. We observed that multiple solutions occurred in certain assortments of the parameters for suction on a surface. The stability analysis of solutions was performed, and we noted that the first solution was stable while the remaining two solutions were not. The results also showed that the velocity of the fluid increased as the non-Newtonian parameter rose in all solutions. Furthermore, it was detected that the temperature of fluid rose at higher values of the Eckert number in all solutions.
Highlights
The boundary layer flow and heat transfer over a stretching/shrinking sheet have raised extensive interest worldwide, as seen throughout engineering literature, since it has many applications including glass-fiber production, plastic pieces aero-dynamic extrusion, hot rolling, paper production, etc. [1,2].The micropolar fluid model has attracted more attention from researchers as compared to other non-Newtonian fluid models due to its ability to determine the impacts of local configuration and micro-motions of the fluid components that are disregarded by conventional models [3].Several operative models have been carefully derived in the steady-state regime
Symmetry 2020, 12, 142 the two-dimensional magnetohydrodynamic (MHD) flow of Eyring–Powell nanofluid over an inclined plane
Multiple solutions and stability analysis were the main objectives of this study
Summary
The boundary layer flow and heat transfer over a stretching/shrinking sheet have raised extensive interest worldwide, as seen throughout engineering literature, since it has many applications including glass-fiber production, plastic pieces aero-dynamic extrusion, hot rolling, paper production, etc. [1,2].The micropolar fluid model has attracted more attention from researchers as compared to other non-Newtonian fluid models due to its ability to determine the impacts of local configuration and micro-motions of the fluid components that are disregarded by conventional models [3].Several operative models have been carefully derived in the steady-state regime. The boundary layer flow and heat transfer over a stretching/shrinking sheet have raised extensive interest worldwide, as seen throughout engineering literature, since it has many applications including glass-fiber production, plastic pieces aero-dynamic extrusion, hot rolling, paper production, etc. The micropolar fluid model has attracted more attention from researchers as compared to other non-Newtonian fluid models due to its ability to determine the impacts of local configuration and micro-motions of the fluid components that are disregarded by conventional models [3]. Several operative models have been carefully derived in the steady-state regime. Many researchers considered various non-Newtonian fluid models in their studies. Symmetry 2020, 12, 142 the two-dimensional magnetohydrodynamic (MHD) flow of Eyring–Powell nanofluid over an inclined plane. Jafarimoghaddam [5] investigated the MHD flow of Eyring–Powell fluid in the presence of
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