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.
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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.
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.
The authors declare no competing interests.
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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