Abstract
An experimental rig is described used for measuring the averaged pulsational integral characteristics of a turbulent boundary layer on the starting portion of a round tube with different levels of turbulence. Measurements were made in the automatic regime with the use of a thermoanemometric probe and TSI apparatus. A procedure is given for calculating the spectral density of fluctuations of the longitudinal velocity from the measured coefficients of autocorrelations.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Abbreviations
- x, y:
-
longitudinal and transverse coordinates
- D, d:
-
diameter of tube
- r:
-
radius of tube
- U, U':
-
longitudinal velocity and its fluctuation
- Uτ :
-
dynamic velocity
- U+ :
-
universal velocity
- y+ :
-
universal coordinate
- Um :
-
mean velocity over tube cross section
- U0 :
-
velocity at tube axis
- τω :
-
shearing friction
- Cf :
-
friction factor
- Cf/Cf0 :
-
relative friction factor
- δ* :
-
displacement thickness
- H:
-
form parameter
- Re:
-
Reynolds number
- Tu:
-
turbulence level
- k:
-
kinetic energy of turbulence
- Rxx(τ)):
-
longitudinal-velocity autocorrelation coefficient
- Eu(f):
-
one-dimensional spectral density of the distribution of velocity fluctuations
- E(f):
-
energy spectrum of longitudinal-velocity fluctuation
- Φxx:
-
spectral densities
- f:
-
frequency
- ν:
-
kinematic viscosity
- ϱ:
-
density
- τ:
-
delay time. Subscripts
- w, 0:
-
conditions on the wall and the tube axis
References
A. S. Sukomel, V. I. Velichko, and Yu. G. Abrosimov, Heat Transfer and Friction in Turbulent Gas Flow in Short Channels [in Russian], Moscow (1979).
I. O. Hinze, Turbulence. Its Mechanism and Theory [Russian translation], Moscow (1963).
U. Frost and T. Moulden (editors), Turbulence, Principles and Application [Russian translation], Moscow (1980).
P. Bradshaw, Introduction to Turbulence and Its Measurement [Russian translation], Moscow (1974).
A. F. Polyakov and S. A. Shindin, Inzh.-Fiz. Zh.,36, No. 6, 985–990 (1979).
I. L. Povkh, Aerodynamic Experiment in Machine Building [in Russian], Leningrad (1974).
F. Clauser, Problems of Mechanics [Russian translation], Issue 2, pp. 297–340 (1959).
W. W. Willmarth and T. J. Bogar, Phys. Fluids,67, No. 10, Pt. 2, S9-S21 (1977).
M. Hisida and I. Nagano, Teploperedacha,101, No. 1, 16–25 (1979).
H. T. Kim, “An experimental study of turbulence production near a smooth wall in a turbulent boundary layer with zero pressure gradient,” PhD Thesis, Stanford University (1968).
G. Jenkins and D. Wats, Spectral Analysis and Its Applications [Russian translation], No. 1, Moscow (1971).
G. Jenkins and D. Wats, Spectral Analysis and Its Applications [Russian translation], No. 2, Moscow (1972).
J. Laufer, “The structure of turbulence in fully developed pipe flow,” NACA Report 1174 (1954).
J. Nikuradse, “Gezetzmassigkeit der turbulenten Stromung in glatten Rohren,” Verein Deutscher Ingenieure-Forschungsheft, No. 356 (1932).
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 64, No. 4, pp. 408–413, April, 1993.
Rights and permissions
About this article
Cite this article
Medvedev, A.V., Raisikh, S.Y. & Sergievskii, P.D. Experimental investigation of a developing flow in a round tube at different levels of turbulence. 1. Experimental setup and measuring procedure. J Eng Phys Thermophys 64, 322–327 (1993). https://doi.org/10.1007/BF00859214
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00859214