Abstract
This piece of work is concerned with the application of two conventional measuring probes, pressure probe and hot wire, in the wall layer of subsonic ducted, pipe and channel, flows for velocity measurements. Careful measurements have been carried out and analysed accordingly for Reynolds number range of 2.8×105≤Rem≤4.5×105 and 4×104≤Rem≤2.3×105 for the pipe and the channel, respectively. Pressure probes of outer diameters (d 0 + = d 0·uτ/v) 20-120 wall units and hot wire, having wire length (l+= l uτ/v) of 50-250 for the current Reynolds range, have been utilized to carry out the present measurements. When the pressure probe was applied in the wall layer, the wall proximity and the shear gradient played major roles of its incorrect velocity readings, however, this effect was far from being influencing the hot-wire velocity measured in the overlap region. When the pressure probe results compared to those obtained by the hot wire, the pressure probe's data showed hump in the normalized mean velocity profiles around the wall distances y+≤300 and y+≤150 for the pipe and the channel, respectively. Available corrections are adopted and applied to the pressure probe data measured, yielding results that are comparable to those of the hot wire and this was also demonstrated by comparing the present results corrected to the so-called the logarithmic velocity profile.
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F. Zimmer, E.-S. Zanoun, and C. Egbers, A study on the influence of triggering pipe flow regarding mean and higher order statistics, J. Physics: Conf. Series, 2011, Vol. 318, No. 3, P. 32039–32044.
E.-S. Zanoun, F. Durst, and H. Nagib, Refined Cf relation for turbulent channels and consequences for high Re experiments, J. Fluid Dyn. Res., 2009, Vol. 41, No. 2, P. 021405–1-021405-12.
F. Durst and E.-S. Zanoun, Experimental investigation of near-wall effects on hot-wire measurements, Exp. Fluids, 2002, Vol. 33, No. 1, P. 210–218.
F. Zimmer, E.-S. Zanoun, and C. Egbers, The CoLaPipe ? the new Cottbus large pipe test facility at BTU Cottbus, Review Scientific Inst., 2014, Vol. 85, No. 7, P. 075115–1-075115-9.
E.-S. Zanoun, M. Kito, and C. Egbers, A study on flow transition and development in circular and rectangular ducts, J. Fluids Engng, 2009, Vol. 131, No. 6, P. 061204–1-061204-10.
D. W. Bryer and R. C. Pankhurst, Pressure-probe methods for determining wind speed and flow direction, Nat. Phys. Lab., London, 1971.
S. Sami, The Pitot tube in turbulent shear flow, in: Proc. 11th Midwestern Mech. Conf., Dev. in Mechanics, 1967, Vol. 5, P. 11. P. 71.
S. H. Chue, Pressure probes for fluid measurements, Pro. Aero. Sci., 1975, Vol. 16, No. 2, P. 147–223.
B. J. McKeon and A. J. Smits, Static pressure correction in high Reynolds number fully developed turbulent pipe flow, Meas. Sci. Technol., 2002, Vol. 13, No. 10, P. 1608–1614.
L. Prandtl, Reibungswiederstand, hydrodynamische Probleme des Schiffsantriebs, herausgeg. von G. Kempf und E. Förster, Hamburg, 1932. S. 87. Neuere Ergebnisse der Turbulenzforschung, Z. VDI Bd. 77, Nr. 5, S. 105-113; Ergebnisse der Aerodynamischen Versuchsanstalt Göttingen, 3 Lief. 1927. S. 1 (English Translation NACA TM 720).
P. Blasius, Über Flüssigkeitsbewegung bei sehr kleiner Reibung, in: Proc. Third Int. Math. Congr. Heidelberg, 1908, P. 484–491.
J. Nikuradse, Gesetzmässigkeiten der turbulenten Strömung in glatten Rohren, Forschg. Arb. Ing. -Wes., 1932, No. 356, P. 1–36.
B. J. McKeon, J. Li, W. Jiang, J. F. Morrison, and A. J. Smits, A new friction factor relationship for fully developed pipe flow, J. Fluid Mech., 2005, Vol. 538, P. 429–443.
P. Bradshaw and G. E. Hellens, The N. P. L. 59 in × 9 in boundary layer tunnel, NPL Aero Report, 1964, No. 1119.
R. B. Dean, Reynolds number dependence of skin friction and other bulk flow variables in two dimensional rectangular duct flow, Phys. Fluids, 1978, No. 100, P. 215–223.
I. Marusic, B. J. McKeon, P. A. Monkewitz, H. M. Nagib, A. J. Smits, and K. R. Sreenivasan, Wall-bounded turbulent ows at high Reynolds numbers: Recent advances and key issues, Phys. Fluids, 2010, Vol. 22, No. 6, P. 065103–1-065103-24.
J. P. Monty, Developments in smooth wall turbulent duct flows, PhD thesis, The University of Melbourne, Australia, 2005.
K. T. Christensen, Experimental investigation of acceleration and velocity fields in turbulent channel flow, PhD thesis, University of Illinois at Urbana-Champaign, Department of Theoretical and Applied Mechanics, USA, 2001.
F. Durst, H. Kikura, I. Lekakis, J. Jovanovic, and Q.-Y. Ye, Wall shear stress determination from near-wall mean velocity data in turbulent pipe and channel flows, Exp. Fluids, 1996, Vol. 20, No. 6, P. 417–428.
W. I. Grosser, Factors influencing pitot probe centerline displacement in a turbulent supersonic boundary layer, NASA Technical Memorandum 107341, 1997, P. 1–47.
S. C. C. Bailey, M. Hultmark, J. P. Monty, P. H. Alfredsson, M. S. Chong, R. D. Duncan, J. H. M. Fransson, N. Hutchins, I. Marusic, B. J. McKeon, H. M. Nagib, R. Orlue, A. Segalini, A. J. Smits, and R. Vinuesa, Obtaining accurate mean velocity measurements in high Reynolds number turbulent boundary layers using Pitot tubes, J. Fluid Mech., 2013, No. 715, P. 642–670.
F. A. MacMillan, Experiments on Pitot-tubes in shear flow, Aero. Res. Counc. R. & M., 1956, No. 3028.
S. Tavoularis, Techniques for Turbulence Measurements. Vol. 1. Flow Phenomena and Measurement, Encycl. Fluid. Mech., 1986, P. 1207–1255.
B. J. McKeon, J. Li, W. Jiang, J. F. Morrison, and A. J. Smits, Pitot probe corrections in fully developed turbulent pipe flow, Meas. Sci. Technol., 2003, Vol. 14, No. 8, P. 1449–1458.
E. S. Zanoun, F. Durst, O. Saleh, and A. Al-Salaymeh, Wall skin friction and mean velocity profiles of fully developed turbulent pipe flows, Exp. Therm. Fluid Sci., 2007, Vol. 32, No. 1, P. 249–261.
T. Wei and W. W. Willmarth, Reynolds number effects on the structures of a turbulent channel flow, J. Fluid Mech., 1989, Vol. 204, P. 57–95.
M. V. Zagarola and A. J. Smits, Mean-flow scaling of turbulent pipe flow, J. Fluid Mech., 1998, Vol. 373, P. 33–79.
M. Fischer, Turbulente wandgebundene Strömungen bei kleinen Reynoldszahlen, Dissertation. Universität Erlangen Nürnberg, 1999.
M. I. Hall, The displacement effect of a sphere in two-dimensional shear flow, J. Fluid Mech., 1956, Vol. 1, P. 142–62.
M. J. Lighthill, Contributions to the theory of the Pitot-tube displacement effect, J. Fluid Mech., 1957, Vol. 1, P. 493–512.
C. Grossmann and H. G. Roos, Numerik der partiellen Differentialgleichungen, B. G. Teubner, Stuttgart, 1994.
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Zanoun, ES., Öngüner, E. & Egbers, C. Conventional measuring probes in the wall layer of turbulent subsonic ducted flows. Thermophys. Aeromech. 23, 329–342 (2016). https://doi.org/10.1134/S0869864316030033
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DOI: https://doi.org/10.1134/S0869864316030033