Effect of nonlinear partial slip and thermal radiation on Oldroyd 8‐constant fluid in a channel with convective boundary condition

Abstract

This investigation deals with the effects of nonlinear slip, nonlinear thermal radiation, and non-Newtonian flow parameters on heat transfer of an incompressible magnetohydrodynamic steady flow of an Oldroyd 8-constant fluid through two parallel infinite plates with convective cooling. The Rosseland approximation is adopted to simulate the radiation effects. Heat exchange with the surrounding at the surfaces is assumed to obey Newton's law of cooling. The system of coupled and highly nonlinear ordinary differential equations governing the model is solved numerically using the method of weighted residual. The combined effects of non-Newtonian flow parameters, velocity slip parameter, magnetic field parameter, Biot numbers, thermal radiation on the fluid velocity, temperature distributions, skin friction, and the Nusselt number are presented graphically and discussed. It is found that the velocity slip has an increasing effect on the fluid velocity and temperature profiles. For larger values of the thermal radiation parameter, the temperature profile and the Nusselt number are noticed to be increased. K E Y W O R D S convective boundary conditions, method of weighted residual, nonlinear slip, nonlinear thermal radiation, Oldroyd 8-constant fluid

Transient Hydromagnetic Maxwell Fluid Flow over Inclined Stretching Surface with Thermal Radiation, Viscous Dissipation and Ohmic Heating Effects

“…Sajid and Hayat [28] investigated the effect of thermal radiation on the boundary layer flow. Gbadeyan and Yusuf [29] examined the effect of nonlinear partial slip and thermal radiation on Oldroyd 8-constant fluid, and thermal radiation effect on hydromagnetic steady asymmetric flow was considered by Makinde [30].…”

Entropy Analysis of the Nonlinear Convective Flow of a Jeffrey Fluid over an Inclined Sheet with Variable Electrical Conductivity and Thermal Conductivity

“…Adesanya et al, [28] examined the thermodynamics analysis for heated gravity driven hydromagnetic couple stress film with viscous dissipation effects. Also, Gbadeyan & Yusuf [29] investigated the nonlinear parameters (slip and thermal radiation) and non-Newtonian flow parameters on heat transfer for an incompressible magnetohydrodynamic steady flow of an Oldroyd-8 constant fluid. Thus, the influence of temperature dependent thermal and electrical conductivities becomes an important point to investigate.…”