Friction Factor In Sine-Pipe Flow

[+] Author and Article Information
C. O. Popiel

Heat and Fluid Flow Group, Poznan University of Technology, 60-965 Poznan, Poland

D. F. van der Merwe

Energy Laboratory, Rand Afrikaans University, Johannesburg, South Africa

J. Fluids Eng 118(2), 341-345 (Jun 01, 1996) (5 pages) doi:10.1115/1.2817383 History: Received April 28, 1995; Revised September 21, 1995; Online December 04, 2007


Measurements of pressure losses in a sine-waved hydraulically smooth pipe, having a centerline described by the formula y = h sin (2πx/λ), are presented. The effect of the dimensionless wave-length (λ/d) and amplitude (h/d) on the Darcy friction factor was investigated in the range of the Reynolds number from about 100 to 10 000, and in the ranges of wavelength from λ/d = 17.7 to 150 and amplitude from h/d = 1.5 to 32. The Dean number, based on the minimum radius of the sine-waved centerline curvature, below which the influence of the sine-pipe shape in comparison to the straight tube was not seen is De ≤ ~20. A smooth transition from laminar to turbulent region in the friction factor versus Reynolds number plot was observed. In turbulent region the effect of the sine-pipe shape can be neglected for λ/d ≥ 1.36*h/d + 36.2.

Copyright © 1996 by The American Society of Mechanical Engineers
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