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TECHNICAL PAPERS

Friction Factor in U-Type Undulated Pipe Flow

[+] Author and Article Information
C. O. Popiel, J. Wojtkowiak

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

J. Fluids Eng 122(2), 260-263 (Feb 07, 2000) (4 pages) doi:10.1115/1.483253 History: Received June 02, 1999; Revised February 07, 2000
Copyright © 2000 by ASME
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References

Ward-Smith, A. J., 1980, Internal Fluid Flow. The Fluid Dynamics of Flow in Pipes and Ducts. Chapter B: Bends, Clarendon Press, Oxford, pp. 248–306.
Burger,  S. A., Talbot,  L., and Yao,  L. S., 1983, “Flow in Curved Pipes,” Annu. Rev. Fluid Mech., 15, pp. 461–512.
Ito,  H., 1987, “Flow in Curved Pipes,” Int. J. JSME, 30, pp. 543–552.
Dean,  W. R., 1927, “Note on the Motion on Fluid in a Curved Pipe,” Philos. Mag., 4, pp. 208–223.
Cheng,  K. C., and Yuen,  F. P., 1987, “Flow Visualization Studies on Secondary Flow Patterns in Straight Tubes Downstream of a 180 deg Bend and in Isothermally Heated Horizontal Tubes,” ASME J. Heat Transfer, 109, pp. 49–54.
Ito,  H., 1960, “Pressure Losses in Smooth Pipe Bends,” ASME J. Basic Eng., 82, pp. 131–143.
Shimizu,  Y., Sugino,  K., Kuzuhara,  S., and Murakami,  M., 1982, “Hydraulic Losses and Flow patterns in Bent Pipes (Comparison of the Results in Wavy Pipes and Quasi-Coiled Ones),” Bull. JSME, 25, pp. 24–31.
Popiel,  C. O., and Van der Merwe,  D. F., 1996, “Friction Factor in Sine-Pipe Flow,” ASME J. Fluids Eng., 118, pp. 341–345.
Popiel,  C. O., and Wojtkowiak,  J., 1998, “Simple Formulas for Thermophysical Properties of Liquid Water for Heat Transfer Calculations (from 0°C to 150°C),” Heat Transfer Eng., An International Quarterly,19, pp. 87–101.
Moffat,  R. J., 1988, “Describing the Uncertainties in Experimental Results,” Exp. Therm. Fluid Sci., 1, pp. 3–17.
Shah, R. K., and Joshl, S. D., 1987, “Convective Heat Transfer in Curved Ducts,” Handbook of Single-Phase Convective Heat Transfer, p. 5.8, Wiley.

Figures

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Wavy pipes of constant radius curvature
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Experimental rig for pressure-loss measurements
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Friction factor for a straight pipe flow
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Friction factor as a function of Reynolds number
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Modified friction factor as a function of the modified Dean number
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Normalized friction factor versus new Dean number

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