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The concentration field in a turbulent channel flow with polymer injection at the wall

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Abstract

Instantaneous concentration profiles have been measured in turbulent water channel flows at 5 axial locations immediately downstream of a line, wall injection of a dyed 700 ppm polymer solution and for comparison, dyed water. Concentration was deduced from a line of fluoresced radiation that was stimulated by a laser beam directed through the dyed injectant and normal to the channel wall. Both statistical and time-resolved results show how the turbulent mixing is modified and damped when the injectant is a polymer solution.

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Abbreviations

C :

instantaneous concentration

C i :

initial concentration of injected fluid

c :

concentration fluctuation, c = C — \(\bar C\)

h :

channel height

\(u_{\hat \tau } \) :

shear velocity, \(u_{\hat \tau } = \sqrt {\tau _w /\rho } \)

x :

streamwise distance measured from injector

y :

distance from wall

v :

kinematic viscosity

ϱ :

density

τ w :

wall shear stress

+:

normalized with inner variables \(u_{\hat \tau } \) and v

−:

time average

′:

root mean square (RMS)

w :

pertains to water flow with no injection

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Authors and Affiliations

  1. School of Mechanical Engineering, Purdue University, 47907, West Lafayette, IN, USA

    D. T. Walker & W. G. Tiederman

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  1. D. T. Walker
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  2. W. G. Tiederman
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Walker, D.T., Tiederman, W.G. The concentration field in a turbulent channel flow with polymer injection at the wall. Experiments in Fluids 8, 86–94 (1989). https://doi.org/10.1007/BF00203069

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  • DOI: https://doi.org/10.1007/BF00203069

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