Thermal radiation and diffusion effects in MHD Williamson and Casson fluid flows past a slendering stretching surface

The article is presented to analyze the magnetohydrodynamic Casson and Williamson fluids flow over a stretched surface of variable thickness by including the conditions of thermal radiation, velocity slip, temperature, and concentration slip. The equations governing the flow characteristics are transformed to ordinary differential equations by applying similarity transformations. The solution of the simplified equations is obtained by the numerical bvp5c Matlab package. The behavior for Williamson and Casson fluid cases is explored and discussed with the impact of sundry parameters on the flowing fluid, thermal, and diffusion fields. The profiles under the impact of parameters are depicted through graphs. Also, we evaluated the performance of local Nusselt and Sherwood numbers along with the friction of the wall and are displayed through tables. We found that the temperature and mass transfer distribution is low in Williamson fluid when compared to Casson fluid flow. The computed results indicate that the flow, thermal and concentration boundary layer characteristics of Williamson and Casson fluids are not unique.

Automated summary

This article analyzes the flow of magnetohydrodynamic Casson and Williamson fluids over a stretched surface of variable thickness, considering the conditions of thermal radiation, velocity slip, temperature, and concentration slip. The governing equations are transformed into ordinary differential equations using similarity transformations, and the solution is obtained using the numerical bvp5c Matlab package. The behavior of the Williamson and Casson fluid cases is examined, and the impact of various parameters on the flow, thermal, and diffusion fields is discussed. Graphs depict the profiles under different parameter values, and tables display the performance of local Nusselt and Sherwood numbers and wall friction. The results show that the temperature and mass transfer distribution is lower in Williamson fluid compared to Casson fluid flow, and the flow, thermal, and concentration boundary layer characteristics are not unique for both fluids.