Statistical Assessment of Counterflow Ranque-Hilsch Vortex Tube Performance

Selen Yılmaz Işıkhan; Murat Korkmaz; Volkan Kırmacı

Article Details

Statistical Assessment of Counterflow Ranque-Hilsch Vortex Tube Performance

Authors:

Selen Yılmaz Işıkhan | Murat Korkmaz | Volkan Kırmacı

Publisher:

Duzce University

Main Topics:

Makine Mühendisliğinde Optimizasyon Teknikleri

Journal:

Düzce Üniversitesi Bilim ve Teknoloji Dergisi Vol.12 Issue 3, pp.1489-1505

Document Type:

Article

Publication Date:

7/2024

Document Language:

English

Document ID (Org No.):

2001323947

pISSN:

2148-2446

Keywords:

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 tubes 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.

 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 tubes 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.

 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 tubes 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.

 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 F35,17, p0,008. Test bulguları ve grafik performansları dikkate alınarak iki yöntemin avantaj ve dezavantajları karşılaştırılmıştır.

Article Details

Statistical Assessment of Counterflow Ranque-Hilsch Vortex Tube Performance

Authors:

Selen Yılmaz Işıkhan | Murat Korkmaz | Volkan Kırmacı

Publisher:

Duzce University

Main Topics:

Makine Mühendisliğinde Optimizasyon Teknikleri

Journal:

Düzce Üniversitesi Bilim ve Teknoloji Dergisi Vol.12 Issue 3, pp.1489-1505

Document Type:

Article

Publication Date:

7/2024

Document Language:

English

Document ID (Org No.):

2001323947

pISSN:

2148-2446

Factorial ANOVA Experimental Design

Taguchi Orthogonal Array

Ranque-Hilsch Vortex Tube

Optimization

Statistical Method Comparison.Faktöriyel ANOVA Deney Tasarımı

Taguchi Ortogonal Dizi

Ranque-Hilsch Vorteks Tüpü

Optimizasyon

İstatistiksel Yöntem Karşılaştırması.

Issues

Article Details

Authors: Selen Yılmaz Işıkhan | Murat Korkmaz | Volkan Kırmacı

Publisher: Duzce University

Main Topics: Makine Mühendisliğinde Optimizasyon Teknikleri

Journal: Düzce Üniversitesi Bilim ve Teknoloji Dergisi Vol.12 Issue 3, pp.1489-1505

Document Type: Article

Publication Date: 7/2024

Document Language: English

Document ID (Org No.): 2001323947

pISSN: 2148-2446

Issues

Authors:

Selen Yılmaz Işıkhan | Murat Korkmaz | Volkan Kırmacı

Publisher:

Duzce University

Main Topics:

Makine Mühendisliğinde Optimizasyon Teknikleri

Journal:

Düzce Üniversitesi Bilim ve Teknoloji Dergisi Vol.12 Issue 3, pp.1489-1505

Document Type:

Article

Publication Date:

7/2024

Document Language:

English

Document ID (Org No.):

2001323947

pISSN:

2148-2446