Transient Thermal Spreading Resistance from Isothermal Source in a Circular Flux Tube

IF 1.1 4区 工程技术 Q4 ENGINEERING, MECHANICAL
Lisa Steigerwalt Lam, Sahar Goudarzi, Yuri Muzychka
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引用次数: 0

Abstract

An analytical expression is developed for transient thermal spreading resistance from an isothermal circular source in a cylindrical flux tube as a function of constriction ratio and time. The flux tube is semi-infinite. The spreading resistance expression is obtained from the temperature expression by solving the heat equation. For short times, the dimensionless transient spreading resistance is proportional to dimensionless time based on the square root of the source area. For long times, the dimensionless spreading resistance approaches the values of the corresponding steady-state expression in the literature. For small constriction ratios, dimensionless spreading resistance approaches the classic isothermal half-space limit. A numerical analysis is presented which shows excellent agreement with the analytical solution. Approximate correlations for dimensionless resistance are also presented for both the isothermal and the isoflux cases.

圆形通量管中等温源的瞬态热扩散电阻
针对等温圆形源在圆柱形通量管中产生的瞬态热扩散阻力,建立了一个与收缩比和时间有关的分析表达式。通量管是半无限的。通过求解热方程,可以从温度表达式得到扩散阻力表达式。对于短时间,无量纲瞬态扩散阻力与基于源面积平方根的无量纲时间成正比。对于较长的时间,无量纲扩散阻力接近文献中相应稳态表达式的值。对于较小的收缩比,无量纲扩散阻力接近经典的等温半空间极限。数值分析表明与分析解法非常吻合。此外,还给出了等温和等流量情况下的无量纲阻力近似相关性。
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来源期刊
Journal of Thermophysics and Heat Transfer
Journal of Thermophysics and Heat Transfer 工程技术-工程:机械
CiteScore
3.50
自引率
19.00%
发文量
95
审稿时长
3 months
期刊介绍: This Journal is devoted to the advancement of the science and technology of thermophysics and heat transfer through the dissemination of original research papers disclosing new technical knowledge and exploratory developments and applications based on new knowledge. The Journal publishes qualified papers that deal with the properties and mechanisms involved in thermal energy transfer and storage in gases, liquids, and solids or combinations thereof. These studies include aerothermodynamics; conductive, convective, radiative, and multiphase modes of heat transfer; micro- and nano-scale heat transfer; nonintrusive diagnostics; numerical and experimental techniques; plasma excitation and flow interactions; thermal systems; and thermophysical properties. Papers that review recent research developments in any of the prior topics are also solicited.
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