Flow of Dilute Polymer Solutions through Curved Pipes : 1st Report, Frictional Loss in the Fully Developed Flow Region

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Experiments of the flow of dilute aqueous solutions of polyethylene oxide through curved pipes with circular cross-section are carried out over the Reynolds number range of 500 to 1×10^4. Concentration of the polymer solution is varied from 0.5ppm to 100ppm. The ratio of the curvature radius to the pipe radius, R/a, of curved pipes is set at 16.3, 28.8 and 46.0. These fluid are found to cause frictional drag reduction under the turbulent flow condition in a curved pipe as well as in a straight pipe. Experimental values of a frictional loss are correlated with the Weissenberg number, the Reynolds number and the radius ratio R/a. The empirical formulas for the frictional loss estimation are proposed separately for both the laminar and the turbulent flow regime. It is also shown that the transition to turbulent flow depends on the Weissenberg number as well as the Reynolds number.
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