流体热性能测量的3ω方法分析

Xiangxiang Huang, Rahman Hebibul, Libo Zhao, Tingzhong Xu, Yulong Zhao, Zhuangde Jiang
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引用次数: 0

摘要

通常,测量流体热性能的3ω方法是基于假设加热器厚度消失、无介电层和加热器长度无限的热传导模型的近似解。本文在考虑加热器和介质层厚度有限和加热器长度有限的情况下,建立了一种新的无量纲热传导的三维频域模型和偏微分方程,以研究流体的导热系数和扩散系数。通过数值研究发现,可以减小加热器的厚宽比或介电层的厚度和导热系数,以减小数值结果与近似解之间的差异。此外,在低测量频率和高加热器长宽比时,有限加热器长度的边缘效应可以忽略。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Analysis of the 3ω method for the measurement of fluid thermal properties
Generally, the 3ω method for the measurement of fluid thermal properties is based on an approximate solution to heat conduction model assuming vanishing heater-thickness, no dielectric layer and infinite heater-length. In this study, a novel three-dimensional model and partial differential equations of the dimensionless heating conduction in frequency domain were established, which took into account the finite thicknesses of the heater and dielectric layer as well as a finite heater length to investigate thermal conductivity and diffusivity of fluid. Through the numerical studies, it was found that we could reduce the ratio of thickness to width of heater or the thickness and thermal conductivity of the dielectric layer to minimize discrepancy between the numerical results and the approximate solutions. Additionally, the edge effects of a finite heater length can be ignored at low measurement frequencies and high ratio of length to width of the heater.
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