Statistical Assessment of Counterflow Ranque-Hilsch Vortex Tube Performance

Abstract

The vortex tube, which consists of a simple tube, is a device that can simultaneously heat and cool thanks to environmentally friendly pressurized fluids (air, oxygen, nitrogen, etc.). Many studies have been included in the literature to evaluate the Ranque-Hilsch Vortex tube's performance and to reveal influential factors. Variance analysis, linear regression analysis, and the Taguchi method are primarily used in practice. This study aimed to compare the strengths and weaknesses of the factorial experimental design and Taguchi orthogonal array design in the statistical evaluation of the factors affecting the heat exchange of the Ranque-Hilsch Vortex tube. For this purpose, a detailed theory was created for the appropriate factorial ANOVA model to the data set (4 × 5 × 12 = 240 experiments) containing the Ranque-Hilsch Vortex tube and effective material type (polyamide, steel, brass, and aluminum), nozzle number (2,3,4,5 and 6), and input pressure parameters (1,5-7 bar). Following the factorial ANOVA solution, including all binary interactions, the findings were obtained according to the most suitable L16 Taguchi Orthogonal array, considering the four levels for each material, nozzle, and pressure. As a result of the ANOVA, all parameters were statistically significant on heat change (p < 0.001). On the other hand, the pressure was obtained as the only statistically significant factor according to the Taguchi analysis (F = 35.17, p = 0.008). The advantages and disadvantages of the two methods were compared regarding the test findings and graphical performances.

Keywords

• Factorial ANOVA Experimental Design
• Taguchi Orthogonal Array
• Ranque-Hilsch Vortex Tube
• Optimization
• Statistical Method Comparison.

Karşıt Akışlı Ranque-Hilsch Vorteks Tüpü Performansının İstatistiksel Değerlendirmesi

Abstract

Basit bir borudan oluşan vorteks tüp, çevre dostu basınçlı akışkanlar ( hava, oksijen, azot vb.,) sayesinde aynı anda ısıtma ve soğutma yapabilen bir cihazdır. Ranque-Hilsch Vortex tüpünün performansını değerlendirmek ve etkileyen faktörleri ortaya çıkarmak için literatürde birçok çalışmaya yer verilmiştir. Uygulamada öncelikle varyans analizi, doğrusal regresyon analizi ve Taguchi yöntemi kullanılmaktadır. Bu çalışma, Ranque-Hilsch Vortex tüpünün ısı değişimini etkileyen faktörlerin istatistiksel değerlendirmesinde faktöriyel deney tasarımı ile Taguchi ortogonal dizi tasarımının güçlü ve zayıf yönlerini karşılaştırmayı amaçlamıştır. Bu amaçla Ranque-Hilsch Vortex tüpü ve etkin malzeme tipi ( polyamid, çelik, pirinç ve alüminyum), nozül sayısı (2,3,4,5 ve 6) ve giriş basıncı parametrelerini (1,5-7 bar) içeren veri setine (4 x 5 x 12 = 240 deney) uygun faktöriyel ANOVA modeli için detaylı bir teori oluşturulmuştur. Tüm ikili etkileşimleri içeren faktöriyel ANOVA çözümü sonrasında her malzeme, nozül ve basınç için dört seviye dikkate alınarak en uygun L16 Taguchi Ortogonal dizisine göre bulgular elde edilmiştir. ANOVA sonucunda tüm parametreler ısı değişimi açısından istatistiksel olarak anlamlı bulunmuştur (p < 0,001). Öte yandan Taguchi analizine göre istatistiksel olarak anlamlı olan tek faktörün basınç olduğu elde edilmiştir (F=35,17, p=0,008). Test bulguları ve grafik performansları dikkate alınarak iki yöntemin avantaj ve dezavantajları karşılaştırılmıştır.

Keywords

• Faktöriyel ANOVA Deney Tasarımı
• Taguchi Ortogonal Dizi
• Ranque-Hilsch Vorteks Tüpü
• Optimizasyon
• İstatistiksel Yöntem Karşılaştırması.

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