N. E. Sibiryakov, D. Yu. Kochkin, O. A. Kabov, A. L. Karchevsky
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引用次数: 0
Abstract
The article describes a method for determining the heat flux density on the surface of a
thin foil that is inaccessible for thermal imaging measurements based on thermal imaging data on
the other side of the foil, available for measurements. Mathematically, the problem is reduced to
solving the Cauchy problem for an elliptic equation, which is ill-posed. The problem is solved
using noise smoothing in the initial temperature field and a correct restriction on the number of
expansion terms in the Fourier series. According to the measurement results, the heat flux density
reaches its maximum in the area of the contact line and amounts to
\( 4200~\text {W}/\text {m}^2 \).
期刊介绍：
Journal of Applied and Industrial Mathematics is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.
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