Rotating MHD Williamson nanofluid flow in 3D over exponentially stretching sheet with variable thermal conductivity and diffusivity

Heliyon. 2023 Nov 14;9(11):e22294. doi: 10.1016/j.heliyon.2023.e22294. eCollection 2023 Nov.

Abstract

Nanofluids are a topic of great interest for researchers due to their remarkable performance in most heat transport applications. Williamson fluids have also gained importance due to their numerous uses in many fields. Exponentially stretching sheets with variable thermal conductivity and diffusivity is another topic of importance in fluid mechanics. Moreover, rotating MHD fluids have various applications in the industry. So, in particular, we would study rotating MHD Williamson nanofluid having variable diffusivity and thermal conductivity flowing above an exponentially stretching sheet. In this work, we proposed modified wavelets method to find the solutions of the developed mathematical model of the considered problem. The effectiveness of the developed scheme is certified by the help of tables and graphs. It is worthy to point out that the skin friction coefficient in x and y direction increases gradually against the selection of magnetic field effects and Williamson parameter. Tabular study presented to show that the suggested algorithm is convergent, and it can be extended to more physical models on non-Newtonian type.

Keywords: Diffusivity; Exponentially stretching sheet; MHD rotating flows; Thermal conductivity; Williamson nanofluid.