Heat and mass transfer on a MHD third grade fluid with partial slip flow past an infinite vertical insulated porous plate in a porous medium

• Published in: The International journal of heat and fluid flow Vol. 40; pp. 81 - 88
• Main Authors: Baoku, I.G., Olajuwon, B.I., Mustapha, A.O.
• Format: Journal Article
• Language: English
• Published: New York, NY Elsevier Inc 01.04.2013; Elsevier
• Subjects: Computational fluid dynamics; Exact sciences and technology; Flows through porous media; Fluid dynamics; Fluid flow; Fluids; Fundamental areas of phenomenology (including applications); Heat and mass transfer; Insulated plate; Magnetohydrodynamic flow; Magnetohydrodynamics and electrohydrodynamics; Mass transfer; Mathematical analysis; Mathematical models; Non-newtonian fluid flows; Nonhomogeneous flows; Partial slip; Physics; Porous medium; Porous plates; Thermal boundary layer; Third grade fluid; Partial slip; Third grade fluid; Magnetohydrodynamic flow; Insulated plate; Heat and mass transfer; Porous medium; Viscoelastic fluid; Shear thickening; Aspiration; Digital simulation; Slip; Boundary conditions; Porous wall; MHD flow; Porous medium flow; Heat mass transfer; Modelling; Magnetic fields; Conducting fluid; Vertical plate
• ISSN: 0142-727X; 1879-2278
• DOI: 10.1016/j.ijheatfluidflow.2013.01.016

► We model the flow of a MHD third grade fluid, heat and mass transfer in a porous medium with partial slip flow regime. ► We examine the effects of pertinent parameters on the velocity, temperature and species concentration distributions. ► The values momentum and thermal boundary layers increase with increasing third grade parameter β. ► The consequences of increasing the permeability parameter m and partial slip parameter λ give rise to fluid velocity. ► The magnetic field parameter H decreases the momentum boundary layer and increases the concentration boundary layer. The influence of third grade, partial slip and other thermophysical parameters on the steady flow, heat and mass transfer of viscoelastic third grade fluid past an infinite vertical insulated plate subject to suction across the boundary layer has been investigated. The space occupying the fluid is porous. The momentum equation is characterized by a highly nonlinear boundary value problem in which the order of the differential equation exceeds the number of available boundary conditions. An efficient numerical scheme of midpoint technique with Richardson’s extrapolation is employed to solve the governing system of coupled nonlinear equations of momentum, energy and concentration. Numerical calculations were carried out for different values of various interesting non-dimensional quantities in the slip flow regime with heat and mass transfer and were shown with the aid of figures. The values of the wall shear stress, the local rate of heat and mass transfers were obtained and tabulated. The analysis shows that as the fluid becomes more shear thickening, the momentum boundary layer decreases but the thermal boundary layer increases; the magnetic field strength is found to decrease with an increasing temperature distribution when the porous plate is insulated. The consequences of increasing the permeability parameter and Schmidt number decrease both the momentum and concentration boundary layer thicknesses respectively whereas an increase in the thermal Grashof number gives rise to the thermal boundary layer thickness.