Modeling gas flow in a looped thermosyphon with a 1 D low-Mach number expansion

IF 5 2区 工程技术 Q1 ENGINEERING, MECHANICAL
Giuseppe Parasiliti Rantone , Nora Aïssiouene , Yohan Penel , Pierre-Yves Lagrée
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引用次数: 0

Abstract

This article provides numerical results for a laminar gas flow at small velocities in the “looped thermosyphon”, or “natural circulation loop” : a closed configuration composed of two horizontal adiabatic pipes and two vertical pipes with different fixed wall temperature. To this extent, following Paolucci (1982; 1994) we construct a low-Mach number model capable of taking into account the periodicity and the discontinuities intrinsic to this configuration. This compressible model is richer than the Boussinesq model since it describes the pressure variation and is adapted to the description of flows driven by large temperature gradients. We settle averaged equations through the pipes of small radius compared to the length, this gives a one dimensional system of equations of mass, momentum and energy with two pressures, a dynamical one and a thermodynamical one only function of time. We construct a quasi-exact solution in a laminar and steady-state regime. We approach the low-Mach averaged 1D Model with a coupled numerical method based on the characteristics method considering the presence of the periodic conditions and the discontinuous gravity term with Dirac distributions as derivatives at the corners. The numerical results are confronted and validated by the aforementioned reference solution to determine their accuracy.
用一维低马赫数展开模拟环状热虹吸管内的气体流动
本文给出了“环状热虹吸”或“自然循环回路”中小速度层流气体流动的数值结果。环状热虹吸是由两根水平绝热管和两根固定壁面温度不同的垂直管组成的封闭结构。在这种程度上,继Paolucci(1982; 1994)之后,我们构建了一个能够考虑到这种结构固有的周期性和不连续性的低马赫数模型。这种可压缩模型比Boussinesq模型更丰富,因为它描述了压力变化,并适应于描述由大温度梯度驱动的流动。我们通过与长度相比半径较小的管道来求解平均方程,这就得到了一个一维的质量、动量和能量方程系统,其中有两个压力,一个是动力的,一个是热力学的,只有时间的函数。我们构造了一个在层流和稳态状态下的准精确解。考虑周期条件和以Dirac分布为导数的不连续重力项的存在,采用基于特征法的耦合数值方法求解低马赫平均一维模型。数值结果与上述参考解进行了对比和验证,以确定其精度。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
International Journal of Thermal Sciences
International Journal of Thermal Sciences 工程技术-工程:机械
CiteScore
8.10
自引率
11.10%
发文量
531
审稿时长
55 days
期刊介绍: The International Journal of Thermal Sciences is a journal devoted to the publication of fundamental studies on the physics of transfer processes in general, with an emphasis on thermal aspects and also applied research on various processes, energy systems and the environment. Articles are published in English and French, and are subject to peer review. The fundamental subjects considered within the scope of the journal are: * Heat and relevant mass transfer at all scales (nano, micro and macro) and in all types of material (heterogeneous, composites, biological,...) and fluid flow * Forced, natural or mixed convection in reactive or non-reactive media * Single or multi–phase fluid flow with or without phase change * Near–and far–field radiative heat transfer * Combined modes of heat transfer in complex systems (for example, plasmas, biological, geological,...) * Multiscale modelling The applied research topics include: * Heat exchangers, heat pipes, cooling processes * Transport phenomena taking place in industrial processes (chemical, food and agricultural, metallurgical, space and aeronautical, automobile industries) * Nano–and micro–technology for energy, space, biosystems and devices * Heat transport analysis in advanced systems * Impact of energy–related processes on environment, and emerging energy systems The study of thermophysical properties of materials and fluids, thermal measurement techniques, inverse methods, and the developments of experimental methods are within the scope of the International Journal of Thermal Sciences which also covers the modelling, and numerical methods applied to thermal transfer.
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