{"title":"压敏涂料测量误差分析","authors":"Y. Matsuda, H. Yamaguchi, Y. Egami, T. Niimi","doi":"10.1299/KIKAIB.77.1189","DOIUrl":null,"url":null,"abstract":"Pressure-sensitive paint (PSP) is a useful measurement technique to obtain the pressure distribution on a surface, and has been applied to many measurements in wind tunnel testing. The measurement error of PSP has not been discussed in most reports, while the evaluation of the error is very important for quantitative measurements. In this study, we propose the calibration method which enables us to find the defect of PSPs or the failure of the calibration tests easily. Based on the first- and second-order polynomial Stern-Volmer equations, the propagation of error is analyzed. As a result, it is clarified that the experimental values must be fitted by the Stern-Volmer equations with the constraint condition of (p/pref, Iref/I) = (1, 1) at T = Tref , and the relative error in pressure can be reduced. It is also shown that the error becomes quite large when p/pref ≈ -B/2C in the second-order polynomial Stern-Volmer equation. We propose an indicator for the choice of the polynomial order of the Stern-Volmer equation at T/Tref ≈ 1, p/pref ≈ 1.","PeriodicalId":331123,"journal":{"name":"Transactions of the Japan Society of Mechanical Engineers. B","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2011-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Error analysis of pressure-sensitive paint measurement\",\"authors\":\"Y. Matsuda, H. Yamaguchi, Y. Egami, T. Niimi\",\"doi\":\"10.1299/KIKAIB.77.1189\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Pressure-sensitive paint (PSP) is a useful measurement technique to obtain the pressure distribution on a surface, and has been applied to many measurements in wind tunnel testing. The measurement error of PSP has not been discussed in most reports, while the evaluation of the error is very important for quantitative measurements. In this study, we propose the calibration method which enables us to find the defect of PSPs or the failure of the calibration tests easily. Based on the first- and second-order polynomial Stern-Volmer equations, the propagation of error is analyzed. As a result, it is clarified that the experimental values must be fitted by the Stern-Volmer equations with the constraint condition of (p/pref, Iref/I) = (1, 1) at T = Tref , and the relative error in pressure can be reduced. It is also shown that the error becomes quite large when p/pref ≈ -B/2C in the second-order polynomial Stern-Volmer equation. We propose an indicator for the choice of the polynomial order of the Stern-Volmer equation at T/Tref ≈ 1, p/pref ≈ 1.\",\"PeriodicalId\":331123,\"journal\":{\"name\":\"Transactions of the Japan Society of Mechanical Engineers. B\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Transactions of the Japan Society of Mechanical Engineers. B\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1299/KIKAIB.77.1189\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Transactions of the Japan Society of Mechanical Engineers. B","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1299/KIKAIB.77.1189","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Error analysis of pressure-sensitive paint measurement
Pressure-sensitive paint (PSP) is a useful measurement technique to obtain the pressure distribution on a surface, and has been applied to many measurements in wind tunnel testing. The measurement error of PSP has not been discussed in most reports, while the evaluation of the error is very important for quantitative measurements. In this study, we propose the calibration method which enables us to find the defect of PSPs or the failure of the calibration tests easily. Based on the first- and second-order polynomial Stern-Volmer equations, the propagation of error is analyzed. As a result, it is clarified that the experimental values must be fitted by the Stern-Volmer equations with the constraint condition of (p/pref, Iref/I) = (1, 1) at T = Tref , and the relative error in pressure can be reduced. It is also shown that the error becomes quite large when p/pref ≈ -B/2C in the second-order polynomial Stern-Volmer equation. We propose an indicator for the choice of the polynomial order of the Stern-Volmer equation at T/Tref ≈ 1, p/pref ≈ 1.