An investigation has been undertaken as Soret andSchmidt outcomes on the mixed convection flow using Robin boundary conditions. The results use a vertical channel being kept at constant cold temperature and concentration at the left wall and hot temperature and concentration at the right wall. The exchange of heat is done by help of plates with a fluid. We consider the external fluid with equal and different temperatures.This physical problem is solved by using nondimensional parameters with the corresponding boundary conditions. To find analytical solution, the regular perturbation series method is used, and for finding the numerical solution, the well-known Runge-Kutta method with shooting technique is employed. Comparison of the current study is favorable with the previous published results. The obtained results depend on the governing parameters such as thermal Grashof number, solutal Grashof number, Biot numbers, symmetric and asymmetric wall temperatures, Schmidt number, Soret number, and Brinkman number. An influence of these parameters on the fields of velocity, temperature, and concentration is reported. Further, the numerical results for the Nusselt number, mean value of the velocity, dimensionless bulk temperature, skin friction, and molecular diffusion coefficient are tabulated for different parametric conditions and explained. For small value of Brinkman number, the obtained values agree with other published results for all considered cases. K E Y W O R D S mixed convection, Robin boundary conditions, Runge-Kutta method, Soret number
| INTRODUCTIONThe induced buoyancy flows in ducts deserve wide attention in the engineering section owing to their usefulness in a huge number of thermally controlled devices such as the heat exchangers, electronics, solar collectors, and others. In the passive-or semipassive-controlled systems, purely free and mixed convection is done. Both the natural and forced convection heat transfer mechanisms take place in the heat transfer situations and that phenomenon is called mixed convection. The internal flow of fluid is either upward or downward in the vertical channels. The flow of mixed convection in vertically heated channels happens in various technical apparatus including internal cooling system by turbine rotor blade and cooling of the nuclear reactors and electronic components. Tao 1 worked on using the vertical channels flow of fully developed mixed convection at the wall temperature. Aung and Worku 2,3 studied the flow of fluid through the vertical channel by the theory of combined free and forced convention and they also assumed that temperature is asymmetric at the walls of the channel. Aung and Worku, 3 Barletta, 4 and Umavathi et al 5 worked on the mixed convection flow of fluid at symmetric wall conditions in vertical channels. Later, Prathap Kumar et al 6-9 studied mixed convection flows in a vertical channel filled with immiscible fluids.Recently, in the presence of chemical reaction, the coupled heat and mass transfer has many processes. Distribution of te...