In this study, by considering the changes in inlet pressures, connection nozzle materials and the number of orifices, the performances of Ranque–Hilsch vortex tubes (RHVTs) were modelled by multiple linear regression method at which carbon dioxide (CO₂) was used as compressed fluid, and optimum operating conditions were tried to be determined by Taguchi method. In the experiment, counterflow RHVTs having Ø10 mm inner diameter and 100 mm body length were used, hot fluid outlet of which was left completely open. In the tests designed using Taguchi L16 mix type (8 × 1 2 × 3) orthogonal array, 8 different inlet pressures (200, 250, 300, 350, 400, 450, 500 and 550 kPa), 2 different types of connections (parallel and series), 2 different types of nozzle materials (brass and polyamide) and 2 different numbers of orifices (4 and 6) were chosen as control factors and levels. Maximum temperature gradient (∆T) was determined as quality characteristics, and RHVT’s performance tests were done. In order to determine the effect rates of selected control factors on quality characteristics (∆T), analysis of variance (ANOVA) was applied within 95% confidence level. According to the statistical results, it was determined that ΔT values were mostly influenced by the inlet pressure and this was followed by connection type, number of orifices and nozzle material. With the confirmation test performed, reliability of the optimization was tested and confirmed.

在这项研究中，通过考虑入口压力，连接喷嘴材料和孔口数量的变化，使用多元线性回归方法对Ranque-Hilsch涡流管（RHVT）的性能进行建模，在该方法中二氧化碳（CO ₂）用作压缩流体，并尝试通过Taguchi方法确定最佳操作条件。在实验中，使用内径为Ø10mm，主体长度为100 mm的逆流RHVT，其热流体出口完全打开。在使用Taguchi L16混合类型（8×1 2×3）正交阵列设计的测试中，有8种不同的入口压力（200、250、300、350、400、450、500和550 kPa），2种不同类型的连接（平行和系列），选择2种不同类型的喷嘴材料（黄铜和聚酰胺）和2种不同数量的孔（4和6）作为控制因素和水平。最大温度梯度（∆ T）确定为质量特征，并进行了RHVT的性能测试。为了确定所选控制因素对质量特征（ΔT）的影响率，在95％的置信度内应用了方差分析（ANOVA）。根据统计结果，确定ΔT值主要受入口压力的影响，其次是连接类型，孔口数量和喷嘴材料。通过执行确认测试，测试并确认了优化的可靠性。