Falkner-Skan flow analysis for ohmic heated nanofluid toward moving surface with thermal jump

Abstract

The analysis upon Falkner-Skan flows under the assumption of boundary layer has attracted more interests due to their widespread applications in the industrial fields and in many engineering processes, such as percolation, thermal pad, heat exchangers, oil bed retrieval, and geothermal analysis. Therefore, this article focuses on the Falkner-Skan hydromagnetic wedge flow of graphene oxide-water nanofluid. The analysis is adopted near the stagnation point. Velocity and thermal slip phenomena are examined in the stretchable wall. Viscous dissipation and ohmic heating impacts are employed in the exploration of heat transport. The problem is computed analytically via homotopy method. The results are illustrated by velocity and heat transport mechanism against relevant parameters. Impacts of Nusselt number and skin friction are mathematically elaborated. The results report that temperature grows by increasing Brinkman number. Further thermal jump decreases the temperature field. Increasing the rates of Hartmann number improves the thickness of thermal field, while increasing Hartmann number contracts the thickness of momentum profile. This research has considerable implications in medical treatment, devices of relatively high-temperature, heat exchangers, mechanical structures, etc.

Keywords

Falkner-Skan flow / nanofluid / magnetohydrodynamic flow / stagnation point / velocity slip / thermal slip / viscous dissipation / ohmic heating

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