Thermo diffusion and diffusion thermo effects on unsteady flow over a curved surface

Application, Purpose, and Methodology: The Soret and Dufour effects, which are also referred to as cross-diffusion gradients, are advantageous to the manufacturing of binary alloys, the transmission of groundwater contamination, the extraction of oil, and the separation of gas. These are an example of a gradient, which occurs when substances diffuse over one another. The Dufour effect is responsible for the transfer of heat, whereas the Soret effect is concerned with the movement of materials. Both effects are caused by differences in concentration. Temperature differences are the link between the two effects. The Soret and Dufour statistics, in conjunction with the joule heating process, are utilized by us. Through the use of the convergent series, solutions for temperature, speed, and concentration are ultimately found. Core Findings: The findings of these investigations may give researchers engineering and industrial solutions that are unique and advantageous. The computation that is being done right now demonstrates that the sense of radial velocity diminishes as the Hartman number increases. In addition, the temperature of the fluid drops when there is a greater quantity of Prandtl and Soret than before. Methodology: Using the proper transformations, the numerical solution to the micropolar fluid flow problem over a curved stretched disk entails simplifying the partial differential equation system into an ordinary differential equation. This is done to solve the problem. In the process of converting partial differential equations into ordinary differential equations, similarity transformations are utilized. During the shooting process, we use the Runge-Kutta method to solve coupled equations and obtain numerical solutions. By utilizing the nondimensional radius of curvature, we can determine the nondimensional radius of curvature and report the fluid. Future Work: When compared to flat sheets, curved stretched sheets exhibit differences that result in significant boundary layer strain. This is something that will be worked on in the future. Research in the future might concentrate on further investigating these distinctions and the practical ramifications they have, with the possibility of expanding the scope of the investigation to include a variety of engineering and industrial applications in which these effects play an important role.