Effects of Non-Darcy Porous Medium on MHD Mixed Convection With Cross Diffusion and Non Uniform Heat Source/Sink over Exponentially Stretching Sheet

Abstract

This paper focuses on MHD mixed convection flow over an exponentially stretching vertical sheet. The effects of cross diffusion, non-uniform heat source/sink and NonDarcy porous medium are considered. The governing nonlinear partial differential equations reduced to linear partial differential equations by utilizing implicit finite difference scheme in combination with quasi-linearization technique. Further, the impact of various governing physical parameters on velocity, temperature and concentration profiles in association with skin friction, heat transfer and mass transfer rates are analysed and discussed through graphs. The numerical results depict that non-Darcy porous medium enhances the velocity profile, skin friction and mass transfer rate while reduces the heat transfer rate. Numerical results are compared with previous available literature and found to be in excellent agreement.Keywords: magnetohydrodynamics (MHD), exponentially stretching surface, mixed convection, cross diffusion, non-similar solution, non-uniform heat source/ sink, darcy-Forchheimer (Non-Darcy) porous medium International Journal of Petrochemical Science & Engineering Research ArticleOpen Access Effects of non-darcy porous medium on MHD mixed convection with cross diffusion and non uniform heat source/sink over exponentially stretching sheet 293Copyright: ©2017 Patil et al. Citation:Patil P, Kumbarwadi N. Effects of non-darcy porous medium on MHD mixed convection with cross diffusion and non uniform heat source/sink over exponentially stretching sheet. Int J Petrochem Sci Eng. 2017;2(6):292-300s. DOI: 10.15406/ipcse.2017.02.00055 mixed convection flow from vertical stretching sheet with variable wall temperature and concentration.The heat and mass transfer through exponentially stretching sheet has many applications in science and technology such as annealing and thinning of copper wires and many more. Magyari & Keller 20 discussed the heat and mass transfer characteristics of boundary layer flow over exponentially continuous stretching sheet. presented the viscous dissipation effect on mixed convection flow of a micropolar fluid over an exponentially stretching sheet. Sajid & Hayat 22 examined the impact of thermal radiation on boundary layer flow due to exponentially stretching surface. Bidin & Nazar 23 investigated the effects of thermal radiation on boundary layer flow over an exponentially stretching sheet. Dulal Pal 24 discussed the magnetic effect on mixed convection heat transfer in the boundary layers on an exponentially stretching sheet. Ishak 25 obtained the numerical solution of MHD boundary layer flow over an exponentially stretching sheet with radiation effects. Mukhopadhyay & Gorla 26 have studied the effects of partial slip on boundary layer flow past a permeable exponentially stretching sheet in presence of thermal radiation. Mukhopadhyay 27 studied slip effects on MHD boundary layer flow over an exponentially stretching sheet with suction/blowing and thermal radiation.The study of viscous...

Variable viscosity and thermophoresis for Soret and Dufour's effects on MHD generation in a non‐Daracian porosity fluid

“…Kai‐Long discussed the Stagnation electrical MHD Nanofluid mixed convection with slip boundary on a stretching sheet. Very recently, Patil et al studied the effects of a non‐Darcy porous medium on MHD mixed convection with cross‐diffusion and nonuniform heat source/sink over the exponentially stretching sheet. The aim of the present paper is to study thermal reaction and diffusion effects on the MHD generation, mass transfer viscous dissipation fluid and non‐Daracian porous medium flow over a flat stretching surface with the variation of the viscosity and thermophoresis in the presence of suction/injection under Soret and Dufour's effects.…”