Thermorheological Exploration of Melting Heat Transfer Phenomena of Radiated Casson-Carreau Hybrid Fluid via Stretchable Plate with Inclined Magnetized Field

The current investigation examines the thermorheological behavior of a hybrid Casson-Carreau fluid via an extendable plate with the effect of an inclined magnetized force and thermal radiative flux. The impacts of melted heat transfer, nonlinear porous medium resistance, and combined diffusion (Soret and Dufour effects), including the varying thermal conductivity, are considered. The governing equations are converted into a model of non-linear ordinary differential equations utilizing the similarity conversions and resolved computationally by applying the 5th-order Runge-Kutta methodology combined with the shooting procedure. The outcomes reveal that the fluid velocity declines with enhancing the Casson parameter, magnetized force strength, and porosity parameter, while it is improved with Forchheimer and Weissenberg numbers. The temperature is improved by boosting Eckert and Dufour numbers, during which the concentration profile is enhanced with a magnetic field and a melting parameter. The skin friction coefficient grows with melting and Forchheimer parameters, while the viscous dissipation effect enhances heat and mass transfers. The present study provides future insights into the behavior of non-Newtonian fluids in heat and mass transfer applications such as polymer processing, energy systems, and biomedical engineering.