The formulation and solution of the combined (boundary and coefficient) inverse heat-conduction problem of the simultaneous determination of the thermal characteristics of a material and the heat flux density entering the heat receiver are considered. The solution is based on a parameterization of this problem and the use of an extended digital Kalman filter. The results of a simulation of the simultaneous reestablishment of the heat flux and the heat conduction in a single experiment to measure the temperature of a surface are presented.
Similar content being viewed by others
References
N. V. Pilipenko, “Methods of parametric identification in nonstationary thermal measurements. Pt. 1,” Izv. Vyssh. Ucheb. Zaved. Priborostroenie, 46, No. 8, 50–54 (2003).
N. V. Pilipenko, “Methods of parametric identification in nonstationary thermal measurements. Pt. 2,” Izv. Vyssh. Ucheb. Zaved. Priborostroenie, 46, No. 10, 67–71 (2003).
N. V. Pilipenko, “Parametrical identification of differential-difference heat transfer models in non-stationary thermal measurements,” Advances in Heat Transfer. Proc. Baltic Heat Transfer Conference, St. Petersburg (2007), Vol. 2, pp. 598–602.
N. V. Pilipenko, “Parametrical identification of differential-difference heat transfer models in non-stationary thermal measurements,” Heat Transfer. Res., 39, No. 4, 311–315 (2008).
K. V. Kirillov and N. V. Pilipenko, “Program algorithms for solving direct and inverse problems of heat conduction when using differential-difference models,” Nauch.-Tekh. Vestnik ITMO, No. 5, 106–110 (2010).
N. V. Pilipenko, “Systematic errors in determining the nonstationary heat exchange conditions with parametric identification,” Izmer. Tekhn., No. 8, 54–59 (2007); Measur. Techn., 50, No. 8, 880–887 (2007).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izmeritel’naya Tekhnika, No. 3, pp. 48–51, March, 2011.
Rights and permissions
About this article
Cite this article
Pilipenko, N.V., Sivakov, I.A. A method of determining nonstationary heat flux and heat conduction using parametric identification. Meas Tech 54, 318–323 (2011). https://doi.org/10.1007/s11018-011-9726-8
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11018-011-9726-8