MHD and thermal effects on three-dimensional non-Newtonian Williamson fluid flow over a stretching sheet via numerical scheme


Sultan F., Awais M., Sohail M., Mahariq I.

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, vol.105, no.8, 2025 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 105 Issue: 8
  • Publication Date: 2025
  • Doi Number: 10.1002/zamm.70174
  • Journal Name: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Open Archive Collection: Article
  • Azerbaijan State University of Economics (UNEC) Affiliated: No

Abstract

The 3D flow of Williamson fluids on a linear porous extended sheet was examined in this work. The effect of heat radiation was considered. Boundary value problem (Bvp4c) was used to resolve the transformed non-linear equations. The velocity (Formula presented.), temperature (Formula presented.), and concentration (Formula presented.) functions in the graphs show the impact of the fixed parameters such as the stretching, the thorough explanations of Williamson, magnetohydrodynamics (MHD), porosity, heat radiation, thermophoresis, Brownian motion, Prandtl, and Biot numbers are provided. Stretching, porosity Williamson parameters, and MHD parameter all have an effect on the velocity (Formula presented.) function across the x-direction, which decreases. The stretching parameter causes the velocity across the y-direction to increase, whereas the porosity, Williamson parameters, and MHD parameter cause the velocity to decrease. Numerical examples of the impact of skin friction, energy transmission, and mass transmission are demonstrated. After calculating the surface drag force numerical amount and the effects of various factors, it is shown that while raising the Williamson factor increases the boundary drag force, increasing the extended and porosity parameters decreases it. Higher motion Brownian factor, stretching factor, and thermophoresis amount increase the mass velocity whereas the enhanced values of the thermophoresis and Brownian motion components decrease the temperature movement rate. Higher amount of the radiation parameter, Prandtl number, and stretching parameter increase the heat transfer rate. This model is very essential for determining the interactions between electrically conducting fluids and magnetic fields, particularly in engineering as well as biomedical applications.