Numerical investigation of magnetohydrodynamic (MHD) radiative flow over a rotating cone in the presence of Soret and chemical reaction

Abstract Present study is a numerical investigation of the flow, heat and mass transfer behaviour of magnetohydrodynamic flow over a vertical rotating cone through porous medium in the presence of thermal radiation, chemical reaction and Soret effects. Further, the numerical solutions are elucidated by using Runge-Kutta based shooting technique. Obtained results are validated with open literature and found an excellent agreement. The influence of non-dimensional governing parameters on velocity, temperature and concentration profiles along with the friction factor, local Nusselt and Sherwood numbers are determined and discussed with the help of graphs and tables. Results proved that the variable porosity parameter have tendency to enhance the heat and mass transfer rate. An increase in the buoyancy parameter depreciates the thermal and concentration boundary layer thicknesses.

[1]  I. Khan,et al.  Heat and Mass Transfer with Free Convection MHD Flow Past a Vertical Plate Embedded in a Porous Medium , 2013 .

[2]  T. Hayat,et al.  Soret-Dufour effects on MHD rotating flow of a viscoelastic fluid , 2014 .

[3]  S. Sarkar,et al.  Hydromagnetic natural convection flow with heat and mass transfer of a chemically reacting and heat absorbing fluid past an accelerated moving vertical plate with ramped temperature and ramped surface concentration through a porous medium , 2015 .

[4]  Ching-Yang Cheng,et al.  Soret and Dufour effects on natural convection heat and mass transfer from a vertical cone in a porous medium , 2009 .

[5]  Sohail Nadeem,et al.  Analytical Study of Rotating Non-Newtonian Nanofluid on a Rotating Cone , 2014 .

[6]  Ali J. Chamkha,et al.  MHD FREE CONVECTION FLOW OF A NANOFLUID PAST A VERTICAL PLATE IN THE PRESENCE OF HEAT GENERATION OR ABSORPTION EFFECTS , 2010 .

[7]  S. K. Parida,et al.  Effect of radiation and chemical reaction on natural convective MHD flow through a porous medium with double diffusion , 2014 .

[8]  K. Kim,et al.  Influence of magnetic field and thermal radiation by natural convection past vertical cone subjected to variable surface heat flux , 2012 .

[9]  C. Sulochana,et al.  Dual solutions for unsteady mixed convection flow of MHD micropolar fluid over a stretching/shrinking sheet with non-uniform heat source/sink , 2015 .

[10]  Kalpataru Das Exact Solution Of MHD Free Convection Flow And Mass Transfer Near A Moving Vertical Plate In Presence Of Thermal Radiation , 2010 .

[11]  I. Pop,et al.  Natural convection of a Darcian fluid about a cone , 1985 .

[12]  Arpita Jain Radiation and Chemical Reaction Effects on Unsteady Double Diffusive Convective Flow past an Oscillating Surface with Constant Heat Flux , 2013 .

[13]  Ali J. Chamkha,et al.  Chemical reaction effects on MHD convective heat and mass transfer flow past a rotating vertical cone embedded in a variable porosity regime , 2015, Afrika Matematika.

[14]  B. Mallikarjuna,et al.  Soret and Dufour effects on mixed convection along a vertical wavy surface in a porous medium with variable properties , 2015 .

[15]  Md Sirajul Islam,et al.  MHD boundary layer radiative, heat generating and chemical reacting flow past a wedge moving in a nanofluid , 2014, Nano Convergence.

[16]  A. Postelnicu,et al.  Influence of a magnetic field on heat and mass transfer by natural convection from vertical surfaces in porous media considering Soret and Dufour effects , 2004 .

[17]  T. Hayat,et al.  Soret–Dufour effects on three-dimensional flow of third grade fluid , 2012 .

[18]  G. Layek,et al.  Similarity solution of MHD boundary layer flow with diffusion and chemical reaction over a porous flat plate with suction/blowing , 2012 .

[19]  Ali J. Chamkha,et al.  Double-diffusive convection with variable viscosity from a vertical truncated cone in porous media in the presence of magnetic field and radiation effects , 2010, Comput. Math. Appl..

[20]  R. Muthucumaraswamy,et al.  Theoretical study of chemical reaction effects on vertical oscillating plate with variable temperature , 2006 .

[21]  K. Maleque Dufour and Soret effects on unsteady MHD convective heat and mass transfer flow due to a rotating disk , 2010 .

[22]  Kalidas Das Influence of chemical reaction and viscous dissipation on MHD mixed convection flow , 2014 .