Application of Fibonacci wavelet in the analysis of unsteady MHD Williamson nanofluid flow over a permeable stretching sheet via porous medium

Abstract

This research investigates the unsteady flow behavior of a magnetohydrodynamic Williamson nanofluid (WNF) over a permeable stretching sheet within a porous medium. It considers the influence of chemical reactions, Joule heating, heat generation/absorption, thermal radiation, and viscous and porous dissipation. The study on magnetohydrodynamic WNF over a permeable stretching sheet within a porous medium has gained much significance due to its numerous industrial and engineering applications. The study employs the Fibonacci wavelet series collocation method (FWSCM) for analysis. An appropriate similarity transformation transforms the governing partial differential equations (PDEs) into nonlinear coupled ordinary differential equations (ODEs). These ODEs are solved using FWSCM. The accuracy of the FWSCM is validated with some previous studies, the Mathematica NDSolve command, and the Haar wavelet collocation method (HWCM). The graphs and tables are used to discuss the physical parameter’s impact. The findings of this study reveal that the Nusselt number increases by 45.32 % with the Weissenberg number and 31.25 % with the unsteadiness parameter. In comparison, it decreases by 45.01 % with the heat generation/absorption parameter, 4.89 % with the porosity parameter, and 1.95 % with the chemical reaction parameter.

Keywords

• Williamson nanofluid
• Unsteady flow
• Porous medium
• Fibonacci wavelet
• Haar wavelet