Analytical Investigation of MFD Viscosity and Ohmic Heating in MHD Boundary Layers of Jeffrey Fluid

In this study, an analytical investigation is carried out to assess the impact of magnetic field-dependent (MFD) viscosity on the momentum and heat transfers inside the boundary layer of a Jeffrey fluid flowing over a horizontally elongating sheet, while taking into account the effects of ohmic dissipation. By applying similarity transformations, the original nonlinear governing equations with partial derivatives are transformed into ordinary differential equations. Analytical expressions for the momentum and energy equations are derived, incorporating the influence of MFD viscosity on the Jeffrey fluid. Then the impact of different parameters is assessed, including magnetic viscosity, magnetic interaction, retardation time, Deborah number, and Eckert number, on the velocity and temperature profiles in the boundary layer. The findings reveal that an increase in magnetic viscosity leads to a decrease in the local Nusselt number, thereby impairing heat transfer. Moreover, a higher retardation time enhances the local Nusselt number by thinning the momentum and thermal boundary layers, while a higher Deborah number decreases the local Nusselt number due to the reduction in fluid viscosity.