Effect of the Dynamic Response of a Side-Wall Pressure Measurement System on Determining the Pressure Step Signal in a Shock Tube Using a Time-of-Flight Method

• DOI: 10.3390/s22062103
• Publication Date: 2022-03-09T06:50:53Z
• Authors: Andrej Svete; Francisco Javier ...; Jože Kutin
• Keywords: piezoelektrični merilni sistemi za tlak; time-varying pressure; primary calibration method; diaphragmless shock tube; time-of-flight method; shock wave velocity; piezoelectric pressure measurement system; uncertainty analysis; time-varying pressure, primary calibration method, diaphragmless shock tubes, time-of-flight method, shock wave velocity, piezoelectric pressure measurement systems, uncertainty analysis; metoda časa letenja; TP1-1185; time-varying pressure; analiza negotovosti; 01 natural sciences; Article; piezoelectric pressure measurement systems; 0103 physical sciences; primarna kalibracijska metoda; hitrost udarnega vala; uncertainty analysis; diaphragmless shock tubes; časovno spreminjajoči tlak, primarna kalibracijska metoda, brezmembranske udarne cevi, metoda časa letenja, hitrost udarnega vala, piezoelektrični merilni sistemi za tlak, analiza negotovosti; time-of-flight method; Chemical technology; časovno spreminjajoči se tlak; shock wave velocity; info:eu-repo/classification/udc/531; diaphragmless shock tube; brezmembranske udarne cevi; primary calibration method; info:eu-repo/classification/udc/531.787; piezoelectric pressure measurement system

Technological progress demands accurate measurements of rapidly changing pressures. This, in turn, requires the use of dynamically calibrated pressure meters. The shock tube enables the dynamic characterization by applying an almost ideal pressure step change to the pressure sensor under calibration. This paper evaluates the effect of the dynamic response of a side-wall pressure measurement system on the detection of shock wave passage times over the side-wall pressure sensors installed along the shock tube. Furthermore, it evaluates this effect on the reference pressure step signal determined at the end-wall of the driven section using a time-of-flight method. To determine the errors in the detection of the shock front passage times over the centers of the side-wall sensors, a physical model for simulating the dynamic response of the complete measurement chain to the passage of the shock wave was developed. Due to the fact that the use of the physical model requires information about the effective diameter of the pressure sensor, special attention was paid to determining the effective diameter of the side-wall pressure sensors installed along the shock tube. The results show that the relative systematic errors in the pressure step amplitude at the end-wall of the shock tube due to the errors in the detection of the shock front passage times over the side-wall pressure sensors are less than 0.0003%. On the other hand, the systematic errors in the phase lag of the end-wall pressure signal in the calibration frequency range appropriate for high-frequency dynamic pressure applications are up to a few tens of degrees. Since the target phase measurement uncertainty of the pressure sensors used in high-frequency dynamic pressure applications is only a few degrees, the corrections for the systematic errors in the detection of the shock front passage times over the side-wall pressure sensors with the use of the developed physical dynamic model are, therefore, necessary when performing dynamic calibrations of pressure sensors with a shock tube.