Analysis of Soret and Dufour Effects on Buoyancy driven MHD Heat Mass Transfer Couette Flow under the Influence of Ramped and Isothermal Temperature settings

Abstract

This analysis investigates the impact of soret and dufour on MHD heat and mass transfer coquette flow considering the ramped and isothermal conditions due to contributory effects of buoyancy. The analysis has been able to change the governing partial differential equations and their initial and boundary conditions into dimensionless form using the appropriate dimensional variables. Finite element method was employed in finding the solution of dimensionless partial differential equations subject to their initial and boundary conditions. The results from the finding indicates that, velocity profile is enhanced due to the rise in Eckert number (E_c), Buoayancy parameter (r_t ), Dufour number (D_f), Solutal Grashof number (G_c), Thermal grashof number (G_r) and Radiation parameter (R) while opposite trends is observed with rise in Jeffery fluid parameter (β). The fluid temperature upsurges due to intensification of G_r , r_t , R, D_f and E_c and shrinks with increase in Prandtl number (P_r). On the other hand there is declining in concentration profile as Schmidt number (S_c) and chemical reaction parameter ( K_r) increases, while opposite behavior is seen with Soret number (S_r). Additionally, There is slight boost on skin friction (τ) as r_t and gets increased. Conversely, Nusselt number (N_u) get lowered as D_f increases. Also, N_u and Sherwood number (S_h) enlarges as r_t increases. Furthermore , τ. S_h and N_u gets reduces slightly due to rise in S_r . Finally, the overall results are in complete agreement with the existing literature thereby validating the accuracy and reliability of the present study.

Keywords: Dufour, Buoyancy, Soret, Ramped Temperature, Isothermal Temperature