Dufour and Soret effects on MHD flow of Williamson fluid over an infinite rotating disk with anisotropic slip

TL;DR

This paper investigates the complex flow, heat, and mass transfer of Williamson fluid over a rotating disk, considering anisotropic slip, Soret, and Dufour effects, using similarity transformation and numerical methods.

Contribution

It introduces a comprehensive analysis of anisotropic slip, Soret, and Dufour effects on MHD Williamson fluid flow over a rotating disk, which is novel in combining these factors.

Findings

Velocity, temperature, and concentration profiles are affected by slip and thermodiffusion effects.

Numerical results demonstrate the influence of parameters on flow and transfer characteristics.

Physical insights are provided through graphs and tables.

Abstract

This study deals with the investigation of MHD flow of Williamson fluid over an infinite rotating disk with the effects of Soret, Dufour, and anisotropic slip. The anisotropic slip and the Soret and Dufour effects are the primary features of this study, which greatly influence the flow, heat and mass transport properties. In simultaneous appearance of heat and mass transfer in a moving fluid, the mass flux generated by temperature gradients is known as the thermal-diffusion or Soret effect and the energy flux created by a composition gradient is called the diffusion-thermo or Dufour effect, however, difference in slip lengths in streamwise and spanwise directions is named as anisotropic slip. The system of nonlinear partial differential equations (PDEs), which governs the flow, heat and mass transfer characteristics, is transformed into ordinary differential equations (ODEs) with the help of von K\'arm\'an similarity transformation. A numerical solution of the complicated ODEs is carried out by a MATLAB routine bvp4c. The obtained results of velocity, temperature, concentration, and some physical quantities are displayed through graphs and tables, and their physical discussion is presented.