Abstract
LDA measurements were made of mean velocity and of turbulence intensity in a 39.4mm diameter tube, the first measurements in three directions on drag reducing surfactant solutions (0.05% and 0.1% Habon G). Drag reduction exceeded the predictions of the Virk maximum drag reduction asymptote and elastic sublayer mean velocity profiles are steeper than the profile proposed by Virk for maximum drag reducing asymptote solutions. Axial turbulence intensities for Habon G solutions are higher than those for water near the wall, lower in most of the outer region and about the same at the center. Tangential and radial turbulence intensities are lower than those for water.
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Abbreviations
- D :
-
tube diameter
- f :
-
friction factor
- \(\frac{{\Delta P}}{l}\) :
-
pressure gradient
- Re :
-
Reynolds number
- r :
-
distance from tube center
- R :
-
tube radius
- u′ z , u′ r and u′ ϕ :
-
fluctuating velocity in the axial, radial and tangential directions
- u z :
-
mean local axial velocity
- u max :
-
mean velocity at tube center
- ū :
-
bulk mean velocity
- u + :
-
dimensionless velocity
- u * :
-
friction velocity
- x :
-
distance from the wall
- y + :
-
dimensionless distance from the wall
- ϱ :
-
density
- δ :
-
thickness of wall layer
- η :
-
viscosity
- τ w :
-
wall shear stress
- subscript s :
-
refers to surfactant solution flow
- subscript w :
-
refers to water flow
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Chara, Z., Zakin, J.L., Severa, M. et al. Turbulence measurements of drag reducing surfactant systems. Experiments in Fluids 16, 36–41 (1993). https://doi.org/10.1007/BF00188503
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DOI: https://doi.org/10.1007/BF00188503