FREE CONVECTION FLOW PAST A VERTICAL CONE WITH A CHEMICAL REACTION IN THE PRESENCE OF TRANSVERSE MAGNETIC FIELD

Natural convective heat and mass transfer over an isothermal vertical cone due to the simultaneous action of buoyancy, chemical reaction, and transverse magnetic fi eld is studied. The governing boundary-layer equations are transformed into a dimensionless form, and then the resulting unsteady nonlinear coupled partial differential equations are solved by using an effi cient, more accurate, and unconditionally stable implicit fi nite difference scheme of the Crank–Nicolson type. A parametric study is performed to illustrate the effect of the buoyancy ratio parameter, Prandtl number, Schmidt number, chemical reaction parameter, and the magnetic fi eld parameter on the velocity, temperature, and concentration profi les. The local and average characteristics: shear stresses, heat transfer coeffi cients, and mass transfer coeffi cients, are obtained numerically. The numerical results reveal that the velocity decreases in the case of a destructive reaction, whereas it increases for a generative reaction.
   
Author:  G. Palani and A. R. Ragavan
Keywords:  one, chemical reaction, magnetohydrodynamics, implicit fi nite difference, Nusselt number
Page:  1256