在 SIMPLE 算法中应用基于动量的变量公式,数值求解外壳中的热浮力湍流

IF 1.8 4区 工程技术 Q3 ENGINEERING, MECHANICAL
Farshad Rahimi, Davood Rashtchian, Masoud Darbandi
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引用次数: 0

摘要

自然对流或浮力对流是一种典型的传热现象,在各行各业的应用日益广泛。本文开发了一种新算法,与过去的类似求解器相比,它能更精确地模拟和求解围护结构中的浮力驱动湍流。通过仔细查阅文献发现,由于采用了经典的布森斯克近似方法,过去的现有方法在应用于温差较大的浮力驱动流时存在严重的局限性。本研究的新颖之处在于,在压力关联方程半隐式方法(SIMPLE)算法的背景下,采用了基于动量的变量方法,从而可以精确地求解具有高温差的强可压缩浮力流。该算法以 OpenFOAM 4.1 为平台,适用于 Navier-Stokes 和伴生湍流治理方程。为了验证所开发的算法,将当前结果与方形和高大空腔中的实验数据进行了比较,考虑了低雷利数(8.6 × 105)、高雷利数(1.43 × 106)和超高雷利数(1.58 × 109)。这项工作的主要贡献是提高了低雷利数和高雷利数下热浮力湍流预测的准确性。所有测试案例都采用了 k-ω 和 k-ε 两种不同的湍流模型。此外,将本非布西内斯克算法和过去开发的方法的结果与实验数据进行比较,结果表明,本算法对温度场的预测更为精确,即与实验数据相差 10%。此外,目前的最大速度结果超过了以往数值方法的解法,与实验数据的差异为 <3%。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Applying a momentum-based variable formulation in the SIMPLE algorithm to numerically solve thermo-buoyant turbulent flow in enclosures
Natural or buoyant convection flow is an exemplary heat transfer phenomenon, with growing applications in various industries. This article develops a new algorithm, which models and solves the buoyancy-driven turbulent flows in enclosures more accurately than the past similar solvers. A careful literature review shows that the past existing approaches have mostly had serious limitations to apply their algorithms to buoyancy-driven flows with high temperature differences magnitude because of employing the classical Boussinesq approximation. As the novelty of this study, it benefits from a momentum-based variable approach in the context of the semi-implicit method for the pressure linked equations (SIMPLE) algorithm, which lets it accurately solve the strong compressible buoyant flows with high temperature differences. The algorithm is applied to both the Navier-Stokes and the accompanied turbulent flow governing equations using OpenFOAM 4.1 as the platform. To validate the developed algorithm, the current results are compared with experimental data in both square and tall cavities considering low (8.6 × 105), high (1.43 × 106), and very high (1.58 × 109) Rayleigh numbers. As the major contribution of this work, it improves the accuracy of the thermo-buoyant turbulent flow prediction at both low and high Rayleigh numbers. All test cases are carried out employing two different turbulence models of k-ω and k-ε. Furthermore, comparing the results of the present non-Boussinesq algorithm and those of the past developed methods with the experimental data, it is shown that the present algorithm provides a more accurate prediction for the temperature field, that is, <10% differences with the experimental data. Moreover, the present maximum velocity results surpass the solution of the past numerical methods and show <3% differences with the experimental data.
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来源期刊
CiteScore
3.80
自引率
10.00%
发文量
625
审稿时长
4.3 months
期刊介绍: The Journal of Mechanical Engineering Science advances the understanding of both the fundamentals of engineering science and its application to the solution of challenges and problems in engineering.
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