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Numerical investigation of the thermal separation in a Ranque-Hilsch vortex tube

机译:Ranque-Hilsch涡流管中热分离的数值研究

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The application of a mathematical model for the simulation of thermal separation in a Ranque-Hilsch vortex tube is presented in this paper. The modelling of turbulence for compressible, swirling flows used in the simulation is discussed. The work has been carried out in order to provide an understanding of the physical behaviors of the flow, pressure, temperature in a vortex tube. A staggered finite volume approach with the standard k-ε turbulence model and an algebraic stress model (ASM) is used to carry out all the computations. To investigate the effects of numerical diffusion on the predicted results, the second-order upwind (SOU) and the QUICK numerical schemes are used and compared with the first-order upwind and the hybrid schemes. The computations show that the differences of results obtained from using the various schemes are marginal. In addition, results predicted by both turbulence models generally are in good agreement with measurements but the ASM performs better agreement between the numerical results and experimental data. The computations with selective source terms of the energy equation suppressed show that the diffusive transport of mean kinetic energy has a substantial influence on the maximum temperature separation occurring near the inlet region. In the downstream region far from the inlet, expansion effects and the stress generation with its gradient transport are also significant.
机译:本文介绍了数学模型在Ranque-Hilsch涡流管中热分离模拟中的应用。讨论了在仿真中使用的可压缩涡流的湍流建模。为了提供对涡流管中流动,压力,温度的物理行为的理解,已经进行了这项工作。使用标准k-ε湍流模型和代数应力模型(ASM)的交错有限体积方法进行所有计算。为了研究数值扩散对预测结果的影响,使用了二阶迎风(SOU)和QUICK数值格式,并将它们与一阶迎风和混合格式进行了比较。计算表明,使用各种方案获得的结果差异很小。此外,两种湍流模型预测的结果通常与测量结果吻合良好,但ASM在数值结果和实验数据之间表现出更好的一致性。能量方程的选择性源项被抑制的计算表明,平均动能的扩散传输对入口区域附近发生的最大温度分离具有重大影响。在远离进口的下游区域,膨胀效应和通过梯度传输产生的应力也很重要。

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