Statistical Assessment of Counterflow Ranque-Hilsch Vortex Tube Performance

Selen Yılmaz Işıkhan; Murat Korkmaz; Volkan Kırmacı

doi:10.29130/dubited.1384832

EN TR

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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Details

Primary Language

English

Subjects

Optimization Techniques in Mechanical Engineering

Journal Section

Research Article

Authors

Selen Yılmaz Işıkhan
0000-0002-3725-2987
Türkiye

Murat Korkmaz ^*
0000-0002-3721-2854
Türkiye

Volkan Kırmacı
0000-0001-7076-1911
Türkiye

Publication Date

July 31, 2024

Submission Date

November 1, 2023

Acceptance Date

December 4, 2023

Published in Issue

Year 2024 Volume: 12 Number: 3

DOI

https://doi.org/10.29130/dubited.1384832

IZ

https://izlik.org/JA69LT96UF

APA

Yılmaz Işıkhan, S., Korkmaz, M., & Kırmacı, V. (2024). Statistical Assessment of Counterflow Ranque-Hilsch Vortex Tube Performance. Duzce University Journal of Science and Technology, 12(3), 1489-1505. https://doi.org/10.29130/dubited.1384832

AMA

1.Yılmaz Işıkhan S, Korkmaz M, Kırmacı V. Statistical Assessment of Counterflow Ranque-Hilsch Vortex Tube Performance. DUBİTED. 2024;12(3):1489-1505. doi:10.29130/dubited.1384832

Chicago

Yılmaz Işıkhan, Selen, Murat Korkmaz, and Volkan Kırmacı. 2024. “Statistical Assessment of Counterflow Ranque-Hilsch Vortex Tube Performance”. Duzce University Journal of Science and Technology 12 (3): 1489-1505. https://doi.org/10.29130/dubited.1384832.

EndNote

Yılmaz Işıkhan S, Korkmaz M, Kırmacı V (July 1, 2024) Statistical Assessment of Counterflow Ranque-Hilsch Vortex Tube Performance. Duzce University Journal of Science and Technology 12 3 1489–1505.

IEEE

[1]S. Yılmaz Işıkhan, M. Korkmaz, and V. Kırmacı, “Statistical Assessment of Counterflow Ranque-Hilsch Vortex Tube Performance”, DUBİTED, vol. 12, no. 3, pp. 1489–1505, July 2024, doi: 10.29130/dubited.1384832.

ISNAD

Yılmaz Işıkhan, Selen - Korkmaz, Murat - Kırmacı, Volkan. “Statistical Assessment of Counterflow Ranque-Hilsch Vortex Tube Performance”. Duzce University Journal of Science and Technology 12/3 (July 1, 2024): 1489-1505. https://doi.org/10.29130/dubited.1384832.

JAMA

1.Yılmaz Işıkhan S, Korkmaz M, Kırmacı V. Statistical Assessment of Counterflow Ranque-Hilsch Vortex Tube Performance. DUBİTED. 2024;12:1489–1505.

MLA

Yılmaz Işıkhan, Selen, et al. “Statistical Assessment of Counterflow Ranque-Hilsch Vortex Tube Performance”. Duzce University Journal of Science and Technology, vol. 12, no. 3, July 2024, pp. 1489-05, doi:10.29130/dubited.1384832.

Vancouver

1.Selen Yılmaz Işıkhan, Murat Korkmaz, Volkan Kırmacı. Statistical Assessment of Counterflow Ranque-Hilsch Vortex Tube Performance. DUBİTED. 2024 Jul. 1;12(3):1489-505. doi:10.29130/dubited.1384832

Statistical Assessment of Counterflow Ranque-Hilsch Vortex Tube Performance

Abstract

Keywords

Karşıt Akışlı Ranque-Hilsch Vorteks Tüpü Performansının İstatistiksel Değerlendirmesi

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

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