Heat and mass transfer on steady incompressible flow over a continuously moving vertical isothermal surface with uniform suction and chemical reaction in the presence of Soret–Dufour effects

Abstract

Understanding coupled heat and mass transfer in viscous flows is essential for both industrial and biomedical applications, particularly where thermal gradients and concentration differences interact. This study addresses that gap by analysing the steady incompressible flow of a viscous fluid over a continuously moving isothermal vertical surface in the presence of Soret and Dufour effects with uniform suction. The nonlinear partial differential equations were reduced into ordinary differential equations with a specified boundary condition. The system of the governing partial differential equations was decoupled using the perturbation technique and the governing equations were solved analytically. Expressions for velocity, temperature, concentration were obtained and the effects of the main parameters were described. The velocity, temperature and concentration profiles as well as wall shear stress, Nusselt number and Sherwood number were presented graphically for realistic values of suction velocity (), Prandtl number (), Schmidt number () as well as for arbitrary values of other parameters. It was observed that an increase in the Soret number () reduces the temperature but increases the velocity and concentration. Increasing Dufour parameter () raises both temperature and velocity, while reducing concentration. Notably, the Dufour effect exerted a stronger influence on thermal transport compared to mass diffusion. These results provide new insights into coupled heat and mass transfer in viscous flows over moving surfaces, with applications in industrial and biomedical systems.