Numerical Simulation of Heat Mass Transfer Effects on MHD Flow of Williamson Nanofluid by a Stretching Surface with Thermal Conductivity and Variable Thickness

The current analysis deals with radiative aspects of magnetohydrodynamic boundary layer flow with heat mass transfer features on electrically conductive Williamson nanofluid by a stretching surface. The impact of variable thickness and thermal conductivity characteristics in view of melting heat flow are examined. The mathematical formulation of Williamson nanofluid flow is based on boundary layer theory pioneered by Prandtl. The boundary layer nanofluid flow idea yields a constitutive flow laws of partial differential equations (PDEs) are made dimensionless and then reduce to ordinary nonlinear differential equations (ODEs) versus transformation technique. A built-in numerical algorithm bvp4c in Mathematica software is employed for nonlinear systems computation. Considerable features of dimensionless parameters are reviewed via graphical description. A comparison with another homotopic approach (HAM) as a limiting case and an excellent agreement perceived.

Automated summary

The study focuses on the radiative aspects of magnetohydrodynamic boundary layer flow on an electrically conductive Williamson nanofluid, investigating the effects of melting heat flow, variable thickness, and thermal conductivity characteristics. The mathematical formulation is based on Prandtl's boundary layer theory, and involves transforming constitutive flow laws of PDEs to ordinary nonlinear ODEs for computation. Numerical algorithms in Mathematica software are utilized, with comparisons showing good agreement with another homotopic approach.