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.