UFR 3-35 Test Case
Cylinder-wall junction flow
Underlying Flow Regime 3-35
Brief Description of the Study Test Case
Test Case Experiments
The experimental data were acquired by conducting planar monoscopic 2D-2C PIV in the vertical symmetry plane upstream of the cylinder. The PIV snapshots were evaluated by the standard interrogation window based cross-correlation of 16x16px. Doing so, we achieved instantaneous velocity fields of the streamwise (U) and the wall-normal (W) velocity component. From these data the time-averaged turbulent statistics were calculated in the post-processing. We used a CCD-camera with a 2048x2048px square sensor. The size of a pixel was 36.86µm, therefore the spatial resolution of the images was 2712 px/D, of the PIV data however, it was 5.8976e-3 D. The temporal resolution was 7.25Hz, which is approximately twice as the macro time scale ub/D = 3.9 Hz. The light sheet was approximately 2mm thick provided by a 532nm Nd:YAG laser. The f-number and the focal length of the lens was 2.8 and 105mm, respectively.
At the measurement section, the flume had transparent walls. Therefore, the laser light, which entered the flow from above could pass with a minimum amount of surface reflections. However, an acrylic glass plate had to be mounted at the water-air interface to suppress the bow waves of the cylinder and let the light sheet enter the water body perpendicularly. The influence of this device at the water surface was tested and considered to be of minor importance for the cylinder-wall junction.
Hollow glass spheres were used as seeding and had a diameter of 10µm. The corresponding Stokes number was 4.7e-3, and therefore, the particles were considered to follow the flow precisely.
The hydraulic boundary condition of a turbulent boundary layer developed naturally due to the 200D long entry length and by the use of vortex generators as recommended by (Counihan 1969). The total number of time-steps was 27,000, the time-delay between two image frames of a time-step was 700µs. Therefore, the total sampling time was 27,000/7.25 = 3724s or 1484D. During the experiment seeding and other particles accumulated along the bottom plate, which undermined the image quality by increasing the surface reflection. Therefore, the data acquisition was stopped after 1500 images to allow surface cleaning and to empty the RAM of limited capacity of the laboratory PC. The sampling time of such a batch was 1500/7.25 = 207s or 82D.
The data acquisition time and number of valid vectors was validated by the convergence of statistical moments. In the centre of the HV the number valid samples had its minimum. Therefore, the time-series at the centre of the HV was analysed as a reference for the entire flow field. The standard error of the mean was 0.0065 times the standard deviation, the corresponding error in the fourth central moment is 0.0545.
CFD Codes and Methods
Contributed by: Ulrich Jenssen — Technical University Munich
© copyright ERCOFTAC 2019