Numerical investigation of heat transfer in the presences of thermo-cross diffusion gradients on flow over a curved geometry

Here, we examine the behavior of micropolar fluids as they travel through a curved stretching surface. We integrate thermo-diffusion and diffusion-thermo effects into the temperature and concentration equations to study the impact of cross-diffusion gradients on velocities, temperatures, and concentrations. The equations governing the flow are nonlinear, thus by applying practical similarity transformations, we obtain a system of nonlinear ordinary differential equations that can be solved. Using the Runge-Kutta numerical procedure, we are able to determine an answer to the modified system. The profiles of velocity, concentration, and temperature are shown, along with the influence of non-dimensional parameters on those variables. The skin friction coefficient, as well as the Nusselt and Sherwood numbers, is computed numerically, and their fluctuations as a function of various parameters are investigated. The implications of these findings for engineering and industry are greater.