液体蒸发成气泡过程中接触线区域热通量密度的测定

IF 0.58 Q3 Engineering

Journal of Applied and Industrial Mathematics Pub Date : 2023-11-04 DOI:10.1134/S199047892303016X

N. E. Sibiryakov, D. Yu. Kochkin, O. A. Kabov, A. L. Karchevsky

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引用次数: 0

摘要

本文描述了一种基于箔另一侧可用于测量的热成像数据来确定热成像测量无法获得的箔表面热通量密度的方法。在数学上，该问题被简化为求解椭圆型方程的柯西问题，该问题是不适定的。该问题是通过初始温度场中的噪声平滑和傅立叶级数中扩展项数量的正确限制来解决的。根据测量结果，热通量密度在接触线区域达到最大值，达到（4200~\text{W}/\text{m}^2）。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Determining the Heat Flux Density in the Area of a Contact Line during the Evaporation of Liquid into a Bubble

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Determining the Heat Flux Density in the Area of a Contact Line during the Evaporation of Liquid into a Bubble

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 \( 4200~\text {W}/\text {m}^2 \).

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来源期刊

Journal of Applied and Industrial Mathematics Engineering-Industrial and Manufacturing Engineering

CiteScore

1.00

自引率

0.00%

发文量

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.