Abstract
A novel measurement method is developed for a simultaneous measurement of pressure and temperature on an airfoil by sensitive paints. The proposed method requires two sets of measurements: in the first set, the temperature distribution is measured on the entire surface of the airfoil by temperature-sensitive paint (TSP). This temperature field is further utilized to evaluate sparse sensor locations based on the sensor selection methods. For the second set of measurements, TSP was sprayed on sparse points and pressure-sensitive paint (PSP) on the remaining airfoil surface. A full temperature field can be reconstructed using temperature data measured at those sparse locations. The temperature-induced error due to temperature sensitivity of PSP is corrected, and a time-averaged pressure field is compared with the pressure tap data. The proposed method is demonstrated on a flow over a NACA 0015 airfoil. Time-averaged and spanwise averaged pressure agrees very well with pressure sensor data measured simultaneously with PSP giving further confidence in our measurement. The present results also show that the Bayesian estimation and a corresponding sensor selection method overperform the linear least squares estimation and a corresponding sensor selection method, and the Bayesian estimation framework is recommended for the practical sparse sensor for temperature reconstruction.
This is a preview of subscription content,
to check access.











Similar content being viewed by others
Data availability
All data generated or analyzed during this study are included in this published article.
References
Ahn J, Mhetras S, Han JC (2008) Film-cooling effectiveness on a gas turbine blade tip using pressure sensitive paint. In:Proceedings of the ASME Turbo Expo 2004 3:241–250. https://doi.org/10.1115/GT2004-53249
Aye-Addo N, Paniagua G, Gonzalez Cuadrado D, et al (2021) Development of a lifetime pressure sensitive paint procedure for high-pressure vane testing. J Turbomach 1–21https://doi.org/10.1115/1.4052739
Bell JH, McLachlan BG (1996) Image registration for pressure-sensitive paint applications. Exp. Fluids 22(1):78–86. https://doi.org/10.1007/BF01893308
Borisov SM, Vasylevska AS, Krause C, Wolfbeis OS (2006) Composite luminescent material for dual sensing of oxygen and temperature. Adv Func Mater 16:1536–1542. https://doi.org/10.1002/ADFM.200500778
Costantini M, Fuchs C, Henne U et al (2021) Experimental analysis of the performance of a wind-turbine airfoil using temperature-sensitive paint. AIAA J 59:4449–4464. https://doi.org/10.2514/1.J060039/ASSET/IMAGES/LARGE/FIGURE18.JPEG
Deng Z, He C, Liu Y, Kim KC (2019) Super-resolution reconstruction of turbulent velocity fields using a generative adversarial network-based artificial intelligence framework. Phys Fluids 31:125111. https://doi.org/10.1063/1.5127031
Disotell KJ, Nikoueeyan P, Assistant GR, et al (2015) Application of fast pressure-sensitive paint to an oscillating wind turbine airfoil. In: North American Wind Energy Academy (NAWEA) Symposium
Dong Z, Liang L, Zhang W et al (2020) Simultaneous pressure and deformation field measurement on helicopter rotor blades using a grid-pattern pressure-sensitive paint system. Measurement 152:107359. https://doi.org/10.1016/J.MEASUREMENT.2019.107359
Durgesh V, Naughton JW (2010) Multi-time-delay LSE-POD complementary approach applied to unsteady high-Reynolds-number near wake flow. Exp Fluids 49:571–583. https://doi.org/10.1007/S00348-010-0821-4/FIGURES/12
Egami Y, Ueyama J, Furukawa S et al (2015) Development of fast response bi-luminophore pressure-sensitive paint by means of an inkjet printing technique. Meas Sci Technol 26:064004. https://doi.org/10.1088/0957-0233/26/6/064004
Fischer LH, Karakus C, Meier RJ et al (2012) Referenced dual pressure- and temperature-sensitive paint for digital color camera read out. Chem A Eur J 18:15706–15713. https://doi.org/10.1002/CHEM.201201358
He C, Liu Y, Gan L (2020) Instantaneous pressure determination from unsteady velocity fields using adjoint-based sequential data assimilation. Phys Fluids 32:035101. https://doi.org/10.1063/1.5143760
Hyakutake T, Taguchi H, Kato J et al (2009) Luminescent multi-layered polymer coating for the simultaneous detection of oxygen pressure and temperature. Macromol Chem Phys 210:1230–1234. https://doi.org/10.1002/MACP.200900176
Inoba R, Uchida K, Iwasaki Y et al (2022) Optimization of sparse sensor placement for estimation of wind direction and surface pressure distribution using time-averaged pressure-sensitive paint data on automobile model. J Wind Eng Ind Aerodyn 227:105043. https://doi.org/10.1016/J.JWEIA.2022.105043
Inoue T, Matsuda Y, Ikami T et al (2021) Data-driven approach for noise reduction in pressure-sensitive paint data based on modal expansion and time-series data at optimally placed points. Phys Fluids 33:077105. https://doi.org/10.1063/5.0049071/5.0049071.MM.ORIGINAL.V4.MP4
Ishii M, Miyazaki T, Sakaue H (2017) Uniformity study of two-functional luminescent dyes adsorbed over an anodized aluminum coating for motion-capturing pressure-and temperature-sensitive paint imaging. Sensors 18(1):26. https://doi.org/10.3390/S18010026
Joshi S, Boyd S (2009) Sensor selection via convex optimization. IEEE Trans Signal Process 57:451–462. https://doi.org/10.1109/TSP.2008.2007095
Kameda M, Tabei T, Nakakita K et al (2005) Image measurements of unsteady pressure fluctuation by a pressure-sensitive coating on porous anodized aluminium. Meas Sci Technol 16:2517. https://doi.org/10.1088/0957-0233/16/12/017
Kameya T, Matsuda Y, Egami Y, Yamaguchi H, Niimi T (2014) Dual luminescent arrays sensor fabricated by inkjet-printing of pressure-and temperature-sensitive paints. Sens Act B Chem 190:70–77. https://doi.org/10.1016/j.snb.2013.08.011
Kanda N, Chihaya A, Goto S, et al (2022) Proof-of-concept study on real-time observation of flow velocity field using sparse processing particle image velocimetry. Exp Fluids (Accepted)
Kaneko S, Ozawa Y, Nakai K, Saito Y, Nonomura T, Asai K, Ura H (2021) Data-driven sparse sampling for reconstruction of acoustic-wave characteristics used in aeroacoustic beamforming. Appl Sci 11(9):4216. https://doi.org/10.3390/APP11094216
Kim H, Kim J, Won S, Lee C (2021) Unsupervised deep learning for super-resolution reconstruction of turbulence. J Fluid Mech 910:29. https://doi.org/10.1017/JFM.2020.1028
Klein C, Henne U, Sachs W, Beifuss U, Ondrus V, Bruse M, Lesjak R, Löhr M, Becher A, Zhai J (2015) Combination of temperature-sensitive paint (TSP) and carbon nanotubes (CNT) for transition detection. 53rd AIAA Aerospace Sciences Meeting. https://doi.org/10.2514/6.2015-1558
Kurihara D, Gonzales JP, Claucherty SL et al (2021) Sub-millimeter resolution pressure measurement on free flight model at Mach 1.5 using novel non-intrusive optical technique. Experimental Thermal and Fluid Science 120:110243. https://doi.org/10.1016/J.EXPTHERMFLUSCI.2020.110243
Lemke M, Reiss J, Sesterhenn J (2016) Pressure estimation from PIV like data of compressible flows by boundary driven adjoint data assimilation. AIP Conf Proc 1738:030017. https://doi.org/10.1063/1.4951773
Manohar K, Brunton BW, Kutz JN, Brunton SL (2018) Data-driven sparse sensor placement for reconstruction: demonstrating the benefits of exploiting known patterns. IEEE Control Syst 38:63–86. https://doi.org/10.1109/MCS.2018.2810460
Manohar K, Kutz JN, Brunton SL (2021) Optimal sensor and actuator selection using balanced model reduction. IEEE Trans Autom Control. https://doi.org/10.1109/TAC.2021.3082502
Mitsuo K, Kurita M, Nakakita K, Watanabe S (2005) Temperature correction of PSP measurement for low-speed flow using infrared camera. ICIASF Record Int Congr Instrum Aerosp Simul Facil 2005:214–220. https://doi.org/10.1109/ICIASF.2005.1569925
Moon KJ, Mori H, Furukawa M (2018) Simultaneous measurement method of pressure and temperature using dual-layer PSP/TSP with lifetime-based method. Meas Sci Technol 29:125301. https://doi.org/10.1088/1361-6501/AAE408
Nakakita K, Kurita M, Mitsuo K, Watanabe S (2006) Practical pressure-sensitive paint measurement system for industrial wind tunnels at JAXA. Meas Sci Technol 17:359. https://doi.org/10.1088/0957-0233/17/2/017
Naoki K, Kumi N, Yuji S, Taku N, Keisuke A (2021) Feasibility study on real-time observation of flow velocity field using sparse processing particle image velocimetry. Trans Japan Soc Aeronaut Space Sci 64(4):242–245. https://doi.org/10.2322/tjsass.64.242
Peng D, Liu Y (2016) A grid-pattern PSP/TSP system for simultaneous pressure and temperature measurements. Sens Actuators B Chem 222:141–150. https://doi.org/10.1016/J.SNB.2015.08.070
Saito Y, Nonomura T, Yamada K et al (2021) Determinant-based fast greedy sensor selection algorithm. IEEE Access 9:68535–68551. https://doi.org/10.1109/ACCESS.2021.3076186
Sakaue H, Miyamoto K, Miyazaki T (2013) A motion-capturing pressure-sensitive paint method. J Appl Phys 113:84901. https://doi.org/10.1063/1.4792761
Sano S, Yuuki T, Hyakutake T et al (2018) Temperature compensation of pressure-sensitive luminescent polymer sensors. Sens Act B Chem 255:1960–1966. https://doi.org/10.1016/j.snb.2017.08.221
Sugioka Y, Numata D, Asai K et al (2018) Polymer/ceramic pressure-sensitive paint with reduced roughness for unsteady measurement in transonic flow. AIAA J 56:2145–2156. https://doi.org/10.2514/1.J056304/ASSET/IMAGES/LARGE/FIGURE18.JPEG
Tiwari N, Murai Y (2021) Ultrasonic velocity profiler applied to explore viscosity–pressure fields and their coupling in inelastic shear-thinning vortex streets. Exp Fluids 62:1–17. https://doi.org/10.1007/S00348-021-03257-W/FIGURES/17
Tiwari N, Tasaka Y, Murai Y (2019) Pressure field estimation from ultrasound Doppler velocity profiler for vortex-shedding flows. Flow Meas Instrum 67:23–32. https://doi.org/10.1016/j.flowmeasinst.2019.03.009
Tiwari N, Tasaka Y, Murai Y (2021) PIV-based estimation of viscosity and pressure fields for a steady pseudoplastic flow. Flow Measurement and Instrumentation 77:101852. https://doi.org/10.1016/j.flowmeasinst.2020.101852
Tu JH, Griffin J, Hart A et al (2013) (2013) Integration of non-time-resolved PIV and time-resolved velocity point sensors for dynamic estimation of velocity fields. Experiments in Fluids 54(2):1–20. https://doi.org/10.1007/S00348-012-1429-7
Watkins AN, Buck GM, Leighty BD et al (2012) Using pressure- and temperature-sensitive paint on the aftbody of a capsule entry vehicle. AIAA J 47:821–829. https://doi.org/10.2514/1.37258
Yamada K, Saito Y, Nankai K et al (2021) Fast greedy optimization of sensor selection in measurement with correlated noise. Mech Syst Signal Process 158:107619. https://doi.org/10.1016/J.YMSSP.2021.107619
Yamada Y, Okabe T, Miyazaki T, Sakaue H (2014) Temperature cancellation method of motion-capturing PSP system. In: AIAA AVIATION 2014 - 30th AIAA aerodynamic measurement technology and ground testing conference. https://doi.org/10.2514/6.2014-2942
Yu CD, Fan YW, Bi XJ et al (2021) Deep particle image velocimetry supervised learning under light conditions. Flow Meas Instrum 80:102000. https://doi.org/10.1016/J.FLOWMEASINST.2021.102000
Acknowledgements
This work was financially supported by Japan Society for Promotion of Science (JSPS) KAKENHI 20J10276, JST, ACT-X Grant Number JPMJAX20AD, Japan, Science and Engineering Research Board (SER-1839-MID) and JSTE FOREST Grant number JPMJFR202C.
Funding
This work was financially supported by Japan Society for Promotion of Science (JSPS) KAKENHI 20J10276, ACT-X Grant Number JPMJAX20AD, Japan, Science and Engineering Research Board (SER-1839-MID) and JSTE FOREST Grant number JPMJFR202C. The authors declare that the funding bodies have no role in the design of the study and collection, analysis, and interpretation of data and in writing the manuscript.
Author information
Authors and Affiliations
Contributions
N Tiwari was involved in the conceptualization, methodology, experiments, software, investigation, writing—original draft, visualization, data curation, writing—review and editing, and funding acquisition. K Uchida was involved in the experiments and review and editing. R Inoba contributed to the experiments and review. Y Saito contributed to the methodology, software, review, editing, and funding acquisition. K Asai helped in the review. T Nonomura contributed to the conceptualization, supervision, review, and editing.
Corresponding author
Ethics declarations
Competing interests
The authors declare no competing interests.
Conflict of interest
The authors declare that they have no competing interests.
Rights and permissions
Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Tiwari, N., Uchida, K., Inoba, R. et al. Simultaneous measurement of pressure and temperature on the same surface by sensitive paints using the sensor selection method. Exp Fluids 63, 171 (2022). https://doi.org/10.1007/s00348-022-03501-x
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00348-022-03501-x