Measurements and Axisymmetric Model of Spatial Correlations in Turbulent Pipe Flow

The structure of fully developed turbulent water pipe flow is investigated using data from two hot film x probes to evaluate two-point, two-component (axial and radial) space and space-time velocity correlations. Measurements are made with one probe fixed at F//? = 0.35 from the pipe wall and the other a moveable probe translated, with combined axial and radial separations, to give net probe separations in planes inclined at 0, 10, 20, 40, 65, and 90 deg in both upstream and downstream directions with respect to the mean flow. Departure of these two-point correlations from isotropic behavior is modeled in terms of axisymmetric tensor forms in which the turbulence is characterized by two scalar quantities related to the correlation length scales.

[1]  K. Sreenivasan,et al.  Rapid distortion of axisymmetric turbulence , 1976, Journal of Fluid Mechanics.

[2]  P. Mulhearn,et al.  The development of turbulence structure in a uniform shear flow , 1975, Journal of Fluid Mechanics.

[3]  J. S. Cintra.  Experimental and Modeling Studies of Two-Point Velocity and Temperature Fields in Turbulent Pipe Flow , 1975 .

[4]  J. Herring.  Approach of axisymmetric turbulence to isotropy , 1974 .

[5]  M. Goldstein,et al.  Effect of anisotropic turbulence on aerodynamic noise , 1973 .

[6]  Valdis Kibens,et al.  Large-scale motion in the intermittent region of a turbulent boundary layer , 1970, Journal of Fluid Mechanics.

[7]  S. Corrsin,et al.  Experiments on nearly homogeneous turbulent shear flow , 1970, Journal of Fluid Mechanics.

[8]  J. R. Philip.  Relation between Eulerian and Lagrangian Statistics , 1967 .

[9]  Michael Fisher,et al.  The characteristics of the turbulence in the mixing region of a round jet , 1963, Journal of Fluid Mechanics.

[10]  R. Dumas,et al.  Further space-time correlations of velocity in a turbulent boundary layer , 1958 .

[11]  R. Dumas,et al.  Space-time double correlations and spectra in a turbulent boundary layer , 1957, Journal of Fluid Mechanics.

[12]  G. Batchelor,et al.  The theory of homogeneous turbulence , 1954 .

[13]  S. Chandrasekhar,et al.  The theory of axisymmetric turbulence , 1950, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[14]  G. Batchelor,et al.  The theory of axisymmetric turbulence , 1946, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.