Descriptive solution of the inverse heat-conduction problem in the B-spline basis

1983 ◽  
Vol 45 (5) ◽  
pp. 1254-1258 ◽  
Author(s):  
Yu. E. Voskoboinikov ◽  
N. G. Preobrazhenskii
Keyword(s):  
Heat Conduction ◽  
Heat Conduction Problem ◽  
Inverse Heat Conduction Problem ◽  
Inverse Heat Conduction ◽  
B Spline ◽  
Spline Basis ◽  
Descriptive Solution

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.

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