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Counter-extrapolation method for conjugate heat and mass transfer with interfacial discontinuity

机译:具有界面间断的共轭传热传质的反外推法

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Purpose - The purpose of this paper is to develop a counter-extrapolation approach for computational heat and mass transfer with the interfacial discontinuity considered at conjugate interfaces. Design/methodology/approach - By applying finite-difference approximations for the interfacial gradients along the local normal direction, the conjugate system can be simplified to the Dirichlet boundary problems for individual domains. A suitable method for the Dirichlet boundary value condition can then be used. The lattice Boltzmann method has been used to demonstrate the method. The model has been carefully validated by comparing the simulation results and theoretical solutions for steady and unsteady systems with flat or circular interfaces. Furthermore, the cooling process of a hot cylinder in a cold flow, which involves unsteady flow and heat transfer across a curved interface, has been simulated as an example to illustrate the practical usefulness of thismodel. Findings - Good agreement has been observed in comparisons of simulations and theoretical solutions. The convergence and stability of the method have also been examined and satisfactory results have been obtained. Results of the cylinder cooling process show that a surface insulation layer can effectively reduce the heat transfer process and slow down the cooling process. Originality/value - This method possesses several technical advantages, including the simple and straightforward algorithm, and accurate representation of the interface geometry. The basic idea and algorithm of the counter-extrapolation procedure presented here can be readily extended to other lattice Boltzmann models and even other computational technologies for heat and mass transfer systems with interface discontinuity.
机译:目的-本文的目的是开发一种反外推方法,用于计算传热和传质,并考虑在共轭界面处的界面不连续性。设计/方法/方法-通过对沿局部法线方向的界面梯度应用有限差分近似,可以将共轭系统简化为单个域的Dirichlet边界问题。然后可以使用适合Dirichlet边值条件的方法。格子玻尔兹曼方法已被用来证明该方法。通过比较具有平面或圆形界面的稳态和非稳态系统的仿真结果和理论解,已对模型进行了仔细验证。此外,以热流在冷流中的冷却过程为例进行了仿真,该冷却过程涉及非恒定流和通过弯曲界面的传热,以说明该模型的实用性。研究结果-在模拟和理论解决方案的比较中观察到了很好的一致性。还检查了该方法的收敛性和稳定性,并获得了满意的结果。气缸冷却过程的结果表明,表面绝缘层可以有效地减少传热过程并减慢冷却过程。创意/价值-此方法具有多项技术优势,包括简单明了的算法以及接口几何图形的准确表示。此处介绍的反外推程序的基本思想和算法可以很容易地扩展到其他晶格Boltzmann模型,甚至其他用于界面不连续的传热和传质系统的计算技术。

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