Heat transfer in a MHD couple-stress fluid in a channel filled with porous material: A computational analysis

This research aims to utilize the local thermal non-equilibrium (LTNE) model to discuss the heat transfer within a thermally developing region. This study delves into the effects of magnetohydrodynamics couple-stress fluid flow in a channel filled with porous medium within the framework of the LTNE model with consideration for axial conduction. The flow within this system is unidirectional, and the walls of the channel sustain a constant heat flux. Numerical solutions are obtained using the finite difference method. The computational and numerical findings are visually depicted through graphical representations. Our analysis concludes that as the couple stress parameter increases, the local Nusselt number decreases. Conversely, the Nusselt number rises with the Hartmann and Peclet numbers increase. Thermally fully developed condition is satisfied under the LTNE mode. Applications like heat exchangers or pipelines carrying heated fluids require careful consideration of thermal expansion and material stress due to their significant impact. Comprehending the impacts of non-equilibrium heat transfer can enhance the efficiency and effectiveness of heat exchanger designs. The present findings are validated by the existing literature's computational and experimental investigations. •Examine the effect of MHD couple-stress fluid in the thermal field forming under local thermal non-equilibrium (LTNE) with consideration for axial conduction.•A finite difference approach has been implemented to solve the coupled differential equation.•Hydrodynamics and convective heat transfer analysis have been discussed in this study.•Dimensionless temperature based on bulk mean temperature is discussed.•Fully developed conditions for the thermal field are satisfied under the LTNE model.•3D visualization of temperature profiles is shown for the axial conduction effects.•As the couple stress parameter rises, the local Nusselt number decreases, while the Nusselt number increases with the Hartmann and Peclet numbers.•The present findings are validated by the existing literature's computational and experimental investigations.