Influence of Soret and Dufour on forced convection flow towards a moving thin needle considering Buongiorno’s nanofluid model

Abstract

This article concerns the study of forced convection flow, heat and mass transfer near a moving slender needle using the Buongiorno nanofluid model. Soret and Dufour impacts are analyzed to study the thermo-diffusion and diffusion-thermo impacts on the flow. The governing boundary layer equations are turned into a dimensionless one with the assistance of similarity transformations. After that those ordinary differential equations are computed by a bvp4c package in MATLAB program. Subsequently, the influences of relevant variables on the coefficient of skin friction, heat and mass transfer rate, momentum, temperature and concentration fields are depicted through the graphical approach and have been interpreted in detail. Extracted outcomes are also authenticated with the existing articles. The multiple solutions are noticed to show up in particular ranges of several parameters. The stability of solutions is conducted to find which of the solution gained is linearly stable. The results indicate that the solution for the upper branch is stable, while the solution for the lower branch is unstable. The outcomes also revealed that the percentage of heat and mass transmission rate diminishes by 40.43% and 31.41%, respectively, with the increment in the needle thickness from b=0.1 to b=0.2.