Magnetohydrodynamic Williamson Fluid Flow and Heat Transfer over a Stretching Cylinder with Variable Thermal Conductivity and Internal Heat Generation: A BVP4C Numerical Study
DOI:
https://doi.org/10.15377/2409-5761.2026.13.8Keywords:
Williamson fluid, Stretching cylinder, Heat transfer enhancement, Variable thermal conductivity, Magnetohydrodynamic (MHD) flowAbstract
This article's, the optimization of heat transfer from a stretching cylinder in a non-Newtonian Williamson fluid subjected to combined magnetohydrodynamic (MHD) forces, variable thermal conductivity, and internal heat generation is still a research mystery despite the extensive research efforts conducted on fluid transport. In order to get around this, appropriate similarity transformations are used to convert governing non-linear partial differential equations for mass, motion, and energy into non-dimensional ordinary differential equations. The 4th order collocation solver bvp4c in MATLAB is used to numerically solve the resulting non-linear boundary value system. For various values of the magnetic parameter (M), Weissenberg number (l), curvature parameter (g), Prandtl number (Pr), thermal conductivity parameter (e), and heat generation/absorption (b), the velocity and thermal boundary layer behavior are methodically examined. Increased values of the magnetic (M), and elastic(l) parameters reduce fluid motion with the emergence of resistive Lorentz forces when compared to the other parameters, however increased values of (g) greatly improve momentum transmission. Furthermore, the variable thermal conductivity (e) and heat generation (b) result in a notable rise in the thickness of the thermal boundary layer and an increase in the core temperature profiles. These thermal quantitative measurements provide crucial design parameters for wire coating applications, thermal management systems, and polymer extrusion in industry.
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