Electro-thermo-convection flow of conducting non-Newtonian fluid over upright wavy cone alongside irregular electrical conductivity

Abstract

This work aims to investigate the numerical analysis of the electrohydrodynamic (EHD) effect using a Casson fluid model. The EHD flow for the laminar forced convection and heat transfer on a vertical wavy cone with variable electric conductivity in the existence of internal heat generation/absorption and Ohmic dissipation was simulated. The problem model was characterized by highly partial differential equations that were concluded via the approximation of the boundary layer. The governing model was then turned into ordinary paired differential equations that applied convenient similarity transformations. Thus, the resulted equations were numerically investigated using the Keller-box method. The impact of the different physical parameters on the velocity profiles and temperature distributions, and also on the shear stress and heat transfer rate, were presented. It was found that a decrease in the electric field parameter leads to heighten the velocity, local skin friction coefficient, and local rate of heat transfer whereas the temperature reduces. Further, rising the Eckert number was deduced to decrease the local rate of heat transfer whilst the velocity, temperature, and local skin friction coefficient were enhanced.