Casson Fluid Flow in a Duct with Iso-Thermal Walls Under the Local Thermal Non-equilibrium Framework: Temperature Distribution

The current study explores the ramifications of Casson fluid flow within a duct filled with porous material, characterized by isothermal boundaries and incorporating viscous dissipation while adhering to local thermal non-equilibrium (LTNE) conditions. Our investigation delves into the quantifiable effects of various parameters, including the Hartmann number (Mh), Casson fluid parameter (β), thermal conductivity ratio (υ), Brinkman number (Brh), and Biot number (Bih), on the augmentation of heat transfer. We derive analytical solutions for the governing equations and present velocity profiles as well as temperature distribution profiles for both the solid and fluid phases. This model demonstrates that the magnetic field significantly influences the temperature field at all stages. Furthermore, for the iso-flux boundaries, our findings reveal that irrespective of the Hartman number and Casson fluid parameter, the solid phase consistently maintains a lower temperature than the fluid phase, substantiating the existence of LTNE.