Exploration of transient heat transfer through a moving plate with exponentially temperature-dependent thermal properties

The present research examines the transient temperature distribution through a moving plate with exponentially temperature-dependent thermal conductivity and heat transfer coefficient. Further, the internal heat generation, as well as convective boundary condition, is considered. The governing energy equation describing the transient heat transfer is formulated and is transformed into a non-dimensional partial differential equation (PDE) using appropriate non-dimensional terms. The resultant PDE is solved numerically with the assistance of the finite difference method (FDM). The consequence of embedding parameters on the transient thermal profile of a moving plate is explicated through a graphical description. The results reveal that the transient thermal distribution decreases remarkably with an upsurge of convection-conduction parameter and the same trend is perceived for radiation-conduction parameter. The result also manifests that as the plate moves faster, the transient thermal distribution through a moving plate enhances gradually. The higher variation in the thermal distribution is perceived for elevated values of the exponential index of thermal conductivity. Moreover, the nature of transient temperature distribution is compared for linear and exponentially temperature-dependent thermal conductivity.