Inverse Heat Conduction Problem of Periodically Contacting Surfaces

1988 ◽  
Vol 110 (4a) ◽  
pp. 821-829 ◽  
Author(s):  
G. P. Flach ◽  
M. N. O¨zis¸ik
Keyword(s):  
Heat Conduction ◽  
Surface Temperature ◽  
Contact Surface ◽  
Heat Conduction Problem ◽  
Inverse Heat Conduction Problem ◽  
Inverse Heat Conduction ◽  
Confidence Bounds ◽  
Contact Conductance ◽  
B Spline ◽  
Spline Basis

An inverse heat conduction method for determining the periodically time-varying contact conductance between two periodically contacting surfaces is presented. The technique is based on solving two single-region inverse problems for the contact surface temperature and heat flux of each solid. The time variation of contact surface temperature is represented with a versatile periodic B-spline basis. The dimension of the B-spline basis is statistically optimized and confidence bounds are derived for the estimated contact conductance. Typical results based on both simulated and actual measurements are given and a parametric study is made to illustrate the general effects of measurement location, number of measurements, etc., on the accuracy of the results.

scholarly journals FEATURES OF THE APPLICATION OF THE IQLAB PROGRAM FOR SOLVING THE INVERSE HEAT CONDUCTION PROBLEM FOR CHROMIUM-NICKEL CYLINDRICAL THERMOSONDES

2018 ◽  
Vol 40 (3) ◽  
pp. 91-96
Author(s):  
E.N. Zotov ◽  
A.A. Moskalenko ◽  
O.V. Razumtseva ◽  
L.N. Protsenko ◽  
V.V. Dobryvechir
Keyword(s):  
Heat Conduction ◽  
Surface Temperature ◽  
Computational Study ◽  
Heat Conduction Problem ◽  
Inverse Heat Conduction Problem ◽  
Inverse Heat Conduction ◽  
Time Step ◽  
Correct Operation ◽  
Inverse Heat Conduction Problems ◽  
Variable Time Step

The paper presents an experimental-computational study of the results of using the IQLab program to solve inverse heat conduction problem and restore the surface temperature of cylindrical thermosondes from heat-resistant chromium-nickel alloys while cooling them in liquid media. The purpose of this paper is to verify the correct operation of the IQLab program when restoring the surface temperature of thermosondes with 1-3 thermocouples. The IQLab program is also designed to solve one-dimensional nonlinear direct lines and inverse heat conduction problems with constant initial and boundary conditions specified as a function of time in a tabular form with a constant and variable time step. A finite-difference method is used to solve the heat equation. Experiments were carried out on samples D = 10-50 mm in liquids with different cooling capacities such as aqueous solutions of  NaCl and Yukon-E polymer, rapeseed oil and I-20A mineral oil. For the calculation we used the readings of thermocouples installed at internal points of cylindrical thermosondes. The advantages of solving inverse heat conduction problems with the IQLab program include the possibility of restoring the surface temperature for cylindrical samples with a diameter of 10 mm to 50 mm with practical accuracy according to the indications of a single thermocouple located in the geometrical center of the thermosonde, which simplifies the manufacture of the probe. For larger dimensions with a diameter D ≥ 50 mm, it is necessary to install control intermediate thermocouples and perform additional tests. The solution of inverse heat conduction problems and restoration of the surface temperature of the sample makes it possible to calculate other important characteristics of the cooling process: the heat flux density and the heat transfer coefficient.

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