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Application of Pressure Sensitive Paint: Determination of unsteady surface pressures

Department Experimental Methods

Fig. 1: Steady and unsteady PSP surface pressure coeffficent distribution on the surface on the suction side of the wing for Ma = 0.8 and Re = 3.5 million for αNOMINAL = 17° and roll angle Φ = -40° of the delta-wing model (click here to enlarge the picture).
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Fig. 2: Unsteady and steady surface pressure distributions of the suction side of the wing at cross section x/c = 0.8 for Ma = 0.8 and Re = 3.5 million for αNOMINAL = 17° and roll angle Φ = -40° of the delta-wing model (click here to enlarge the picture).
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Fig. 3: Cp pressure distribution on the surface of the suction side of the NLR7301 model for Ma = 0.72, pitch oscillating frequency 30 Hz, for three different AoA
(click here to enlarge the picture).
Becoming interested by the pressure data measured with PSP for steady cases the aerodynamicists working in the high-speed regime have been asking for a similar technique for investigations of unsteady flow phenomena, such as aeroelastic investigations, turbo machinery, and helicopter rotors. This is the reason why DLR started an internal "Unsteady PSP" project to develop the required hard- and software for industrial unsteady PSP measurements with a time resolution of better than 1 millisecond and with a sampling rate of up to 100 Hz. Application of the PSP technique to unsteady aerodynamic flows requires special measurement instrumentation. The main challenges to obtain PSP results with sufficient accuracy are the development of hardware components, model illumination, and camera observation as well as the pressure-sensitive paint itself. First of all, a dedicated fast paint has to be designed as pressure sensor in order to reduce the response time of the paint with respect to pressure changes. DLR has developed high porosity paints in which the luminescent dyes are incorporated in a porous polymer. The dynamic calibration of the unsteady paint consists of measuring the phase- and amplitude response of the paint under pressure variations. A dynamic calibration system for measuring the transfer function of the paint has been designed and manufactured. Then, the instrumentation has to be able to acquire images with high framing rates and at low light intensities. Moreover, the software should be able to manage all the necessary synchronization between the PSP system and the wind tunnel in a short time.

The PSP technique has been used for investigations of periodic and unsteady flows: first, a 65° delta wing was tested in the transonic wind tunnel DNW-TWG in Göttingen. A specially designed roll apparatus enabled roll rates up to 10 Hz. The experiments were carried out at angles-of-attack up to α = 17° at Ma = 0.8. Since the rotation of the delta wing is a periodic motion, the phase-locked unsteady PSP technique can be applied. A typical PSP result of the suction side of the investigated model, using the phase locked unsteady PSP data acquisition, for the steady and unsteady case, for Ma = 0.8 and Re = 3.5 million at an nominal angle of incidence α = 17° and roll angle Φ = -40° is shown in Fig. 1. For both cases well developed leading edge vortices can be seen in the PSP results. In the steady case vortex breakdown occurs on the port side of the wing. This can be seen in the PSP result from the strong pressure gradient. In the unsteady case the vortex breakdown on the port side of the wing is shifted downstream. From the PSP results pressure data can be plotted along different cross sections. In Fig. 2 the Cp value is plotted for the steady and unsteady case mentioned above at x/c = 80%. From this pressure data it is obvious that for the unsteady case no vortex breakdown has occurred on the port side of the wing. That means that only the phase locked unsteady PSP measurement technique reveals the complex structure of the flow field very clearly.

In a second wind tunnel campaign in the DNW-TWG in collaboration with the DLR Institute of Aeroelasticity, a 2D-wing-profile (NLR7301) model, which is pitch oscillating at up to 30 Hz, was investigated. The experiments were performed at angles-of-attack α = 1.12° ± 0.6° at Ma = 0.72. Three typical PSP results using unsteady PSP data acquisition, for the 30 Hz pitch oscillating case of the investigated model on the suction side, for Ma = 0.72 at angles of attack (AoA) 0.588, 1.828, 1.564° are shown in Figure 3. In this figure flow is coming from the left for all three different angles-of-attack and the pressure coefficient is shown in the area beginning from the centerline of the model in direction to the wind tunnel side wall. Independent of the angle of incidence the non-2-dimensional pressure distribution is clearly visible especially nearby the wind tunnel side wall, caused by the interaction of the flow around the 2D-wing-profil model and the wind tunnel boundary layer. In addition for all different AoA a low pressure area is measured which is caused by a vortex generated at the leading edge of the model close to the wind tunnel side wall. For all different AoA significant movement of the shock system is also found. For α = 0.588° and α = 1.828° two separate shock positions are found. The first shock is moving downstream into the direction of the second shock whereas the second shock is not moving downstream. The results for the different phase positions for the pitch oscillation show significant differences in the position of the shocks. For α = 1.564° only a single shock is measured by means of unsteady PSP. Thus, the response time of the pressure-sensitive paint formulation is sufficiently small to resolve the pressure fluctuations arising from the pitch oscillation of the 2D-wing-profile model in the flow.

With the newly developed unsteady pressure-sensitive paint formulation the dynamic behaviour of the complete surface flow becomes visible. By using this newly developed unsteady PSP technique the local pressure can be measured in real time. For industrial wind tunnel applications this work extends PSP's useful range to dynamic systems where oscillating pressure changes of the order of 1000 Pa have to be measured at rates of up to 100 Hz.


Contact
Dr.rer.nat. Christian Klein
German Aerospace Center

Institute of Aerodynamics and Flow Technology
, Experimental Methods
Göttingen

Tel.: +49 551 709-2440

Fax: +49 551 709-2830

Related Topics
Aerodynamic
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