Inverse heat transfer problem of thermal contact conductance estimation in periodically contacting surfaces

Abstract

The problems involving periodic contacting surfaces have different practical applications. An inverse heat conduction problem for estimating the periodic Thermal Contact Conductance (TCC) between one-dimensional, constant property contacting solids has been investigated with conjugate gradient method (CGM) of function estimation. This method converges very rapidly and is not so sensitive to the measurement errors. The advantage of the present method is that no a priori information is needed on the variation of the unknown quantities, since the solution automatically determines the functional form over the specified domain. A simple, straight forward technique is utilized to solve the direct, sensitivity and adjoint problems, in order to overcome the difficulties associated with numerical methods. Two general classes of results, the results obtained by applying inexact simulated measured data and the results obtained by using data taken from an actual experiment are presented. In addition, extrapolation method is applied to obtain actual results. Generally, the present method effectively improves the exact TCC when exact and inexact simulated measurements input to the analysis. Furthermore, the results obtained with CGM and the extrapolation results are in agreement and the little deviations can be negligible.

Experimental investigation of thermal contact conductance for nominally flat metallic contact

“…Huang et al [35] developed an inverse solution methodology based on the conjugate gradient method to determine the time wise variation of the contact conductance between the mould and casting specimen, from the transient temperature measurements taken with thermocouples inside the casting specimen and at the outer mould surface. Shojaeefard et al [36] applied the technique of inverse heat conduction problem to solve the problem for estimating the periodic thermal contact conductance between one-dimensional, constant property contacting solids. The conjugate gradient method of minimization with adjoint problem was utilized to solve inverse heat transfer problems of function estimation.…”

A Backward Reciprocity Function Approach to the Estimation of Spatial and Transient Thermal Contact Conductance in Double-Layered Materials Using Non-Intrusive Measurements

“…(9) and obtaining the values of f i , the normal derivative of temperature at interface C can be obtained using Eq. (8).…”

“…The same authors mentioned that values of thermal contact resistance presented in the literature differed significantly, probably due to the fact that they were derived from different experimental conditions. Shojaeefard et al [9,10] time-dependent thermal contact conductance using the conjugate gradient method with adjoint problem, but again using intrusive measurements. Gill et al [11] solved an inverse heat conduction problem to estimate the spatial distribution of thermal contact resistance.…”

Prédiction par transfert inverse d’un champ de conductance thermique de contact dans un mur de réacteur métallurgique

“…-la conductance thermique de contact n'étant pas uniforme sur la surface, il ne sera pas possible de se baser sur les études suivantes : [Atchonouglo et al, 2008] [Shojaeefard et al, 2009] [Fieberg et Kneer, 2008]. …”