EXPERIMENTAL ANALYSIS OF CLASSICAL LUMPED MODEL FOR TRANSIENT HEAT CONDUCTION IN SLAB
Keywords:
Hermite approximations, PAM, Temperature-dependent thermal conductivity, Lumped model, Nonlinear heat Conduction, Transient heat conduction, Biot number.Abstract
The present work aims at applying the ideas on the analysis of improved lumped-parameter model for transient heat conduction in a slab with temperature-dependent thermal conductivity. The transient temperature is found to depend on various model parameters, namely, Biot number, heat source parameter and time. Polynomial Approximation Method (PAM) has been possible to derive a unified relation for the transient thermal behavior of solid (slab and tube) with both internal generation and boundary heat flux. In all the cases, a closed form solution is obtained between temperature, Biot number, heat source parameter and time. An improved lumped parameter model has been received through two point Hermite approximations for integrals. For directly temperature-subordinate warm conductivity, it is demonstrated by correlation with numerical arrangement of the first dispersed parameter model that the higher request lumped model (H1,1/H0,0 approximation) yields critical change of normal temperature expectation over the established lumped model. A brought together Biot number cutoff relying upon a solitary investigation has been contrasted and before numerical and logical results. A decent understanding has been gotten between the present forecast and the accessible result
