Experimental and numerical analysis of a nonlinear pin fin with temperature dependent properties and disparate boundary conditions

Abstract

The present work investigates, the performance of a nonlinear longitudinal pin fin with all temperature-dependent linear/nonlinear parameters. The solution of the problem is evaluated with tip conditions ranging from unchallenging ones such as constant temperature, insulated tip, etc. to realistic ones such as convective and radiative tip. The non-linear governing equations are solved using Pdepe solver. The numerical results are validated with literature and found to be well in agreement. The experiments are performed and it is found that the results from experimental and numerical process are following the same trends. The uncertainty analysis is also done for the input parameters of experimental setup. The study investigates the effect of conduction-convection and conduction-radiation parameters on temperature profile and efficiency. Furthermore, the effect of non-linear temperature-dependent parameters i.e., n,β and γ on the temperature distribution and efficiency is too investigated. It is found that the effect of β and γ are insignificant on both temperature and efficiency. The effect of tip parameters i.e., Nbr and Bi are also investigated. The opposite effect of Biot number is observed on temperature profile on the tip as compared to surface convection. The experimental results are also presented after the numerical analysis for the sake of realization.