Transient Thermal Distribution in a Wavy Fin Using Finite Difference Approximation Based Physics Informed Neural Network

Heat transport has been significantly enhanced by the widespread usage of extended surfaces in various engi-neering domains.Gas turbine blade cooling,refrigeration,and electronic equipment cooling are a few prevalent applications.Thus,the thermal analysis of extended surfaces has been the subject of a significant assessment by researchers.Motivated by this,the present study describes the unsteady thermal dispersal phenomena in a wavy fin with the presence of convection heat transmission.This analysis also emphasizes a novel mathematical model in accordance with transient thermal change in a wavy profiled fin resulting from convection using the finite difference method(FDM)and physics informed neural network(PINN).The time and space-dependent governing partial differential equation(PDE)for the suggested heat problem has been translated into a dimensionless form using the relevant dimensionless terms.The graph depicts the effect of thermal parameters on the fin’s thermal profile.The temperature dispersion in the fin decreases as the dimensionless convection-conduction variable rises.The heat dispersion in the fin is decreased by increasing the aspect ratio,whereas the reverse behavior is seen with the time change.Furthermore,FDM-PINN results are validated against the outcomes of the FDM.

Significance of thermal stress in a convectiveradiative annular fin with magnetic field and heat generation: application of DTM and MRPSM

The present paper explains the temperature attribute of a convective-radiative rectangular profiled annular fin with the impact of magnetic field.The effect of thermal radiation,convection,and magnetic field on thermal stress distribution is also studied in this investigation.The governing energy equation representing the steady-state heat conduction,convection,and radiation process is transformed into its dimensionless nonlinear ordinary differential equation(ODE)with corresponding boundary conditions using non-dimensional terms.The obtained ODE is then solved analytically by employing the Pade approximant-differential transform method(DTM)and modified residual power series method(MRPSM).Moreover,the important characteristics of the temperature field,the thermal stress,and the impact of some nondimensional parameters are inspected graphically,and a physical explanation is provided to aid in comprehension.The significant findings of the investigation reveal that temperature distribution enhances with an increase in the magnitude of the heat generation parameter and thermal conductivity parameter,but it gradually decreases with an increment of convectiveconductive parameter,Hartmann number,and radiative-conductive parameter.The thermal stress distribution of the fin varies considerably in the applied magnetic field effect.