Static pressure correction in high Reynolds number fully developed turbulent pipe flow
Measurements are reported of the error in wall static pressure reading due to the finite size of the pressure tapping. The experiments were performed in incompressible turbulent pipe flow over a wide range of Reynolds numbers, and the results indicate that the correction term (as a fraction of the wall stress) continues to increase as the hole Reynolds number $d^+=u_\tau d/\nu$ increases, contrary to previous studies. For small holes relative to the pipe diameter the results follow a single curve, but for larger holes the data diverge from this universal behaviour at a point that depends on the ratio of the hole diameter to the pipe diameter.
© 2002 Institute of Physics and IOP Publishing Limited. Received 17 June 2002, accepted for publication 24 July 2002, Published 19 September 2002 The support of ONR under grant number N00014-99-1-0340 is gratefully acknowledged. Dr Jonathan Morrison gave a great deal of useful advice, and supported us with many insightful discussions. Professor Sanjay Sampath and Li Li at SUNY Stonybrook kindly provided the scans of surface topology that helped to identify the geometric imperfections of the static tappings. Professor Clancy Rowley gave valuable insight at the start of the study.