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本文在可压缩SIMPLE算法的基础上,基于先求解二维热声谐振腔内的速度场和温度场,然后利用求出的速度和温度值求解组分浓度场的思路,对混合工质的热声分离现象进行了数值研究。研究结果表明:在热声效应和热扩散效应共同作用下,声波能够将混合物中的两种气体分别泵向谐振腔的压力腹点和节点,使得混合气体在声波传播方向上逐渐分离。另外,通过考察5种不同管径下谐振管内径向浓度的变化规律,详细研究了浓度边界层在径向上的影响范围以及不同管径下的分离效率,并提出最佳管径应为16倍浓度渗透深度左右。
In this paper, based on compressible SIMPLE algorithm, based on solving the velocity field and temperature field in two-dimensional thermoacoustic cavity first, and then using the calculated velocity and temperature values to solve the component concentration field, The phenomenon of acoustic separation was studied numerically. The results show that the acoustic wave can pump the two gases in the mixture to the pressure point and the node of the resonator respectively under the combined action of thermoacoustic effect and thermal diffusion effect, so that the mixed gas is gradually separated in the acoustic wave propagation direction. In addition, by investigating the variation of the radial concentration in the resonance tube under five different tube diameters, the radial influence range of the concentration boundary layer and the separation efficiency under different tube diameters were studied in detail, and the optimal tube diameter should be 16 times Concentration penetration depth around.