Numerical investigation of Williamson nanofluid heat transfer over a stretching sheet employing Buongiorno model and Bvp4c boundary layer solution


Abbas S. T., Qureshi I. H., Sohail M., Khan M. J.

Partial Differential Equations in Applied Mathematics, vol.18, 2026 (Scopus) identifier

Abstract

This current paper examines the magnetohydrodynamic (MHD) Williamson nanofluid flow over a stretching superficial in the influence of thermal radiation, viscous dissipation, heat generation, and chemical retort force. Boundary layer estimates of the momentum, energy and the concentration equalities are used to derive the mathematical archetypal of the fluid flow. After suitable similarity transformations, the regulatory non-linear partial differential equalities are transmuted into a classification of ordinary differential Eq.s. The MATLAB inbuilt solver used bvp4c is a Lobatto IIIA based solver to solve these Eq.s numerically. The stimulus of numerous corporal factors of magnetic constraint (M), Williamson parameter (λ), radiation stricture (Rd), Prandtl numeral (Pr), Eckert numeral (Ec), heat generation parameter (S), thermophoresis constraint (Nc), Schmidt number (Sc), Brownian motion parameter (Nb), and chemical retort constraint (Cr) on the velocity, temperature, and concentration distributions are premeditated. The change in skin friction coefficient, Nusselt number and Sherwood numeral are likewise discussed using tabular and graphical formats. The findings indicate that magnetic actions decrease the velocity field, thermal radiation and dissipation due to viscous actions improve the temperature distribution and the nature of the mass transmission is greatly affected by the Schmidt numeral, Brownian gesture and chemical reactions constraint. These results demonstrate the significance of the governing constraints in regulating the process of heat and mass transfer in Williamson nanofluid flows in reference to engineering use.