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.

1.
Abou-Arab
T. W.
,
Aldoss
T. K.
, and
Mansour
A.
,
1991
, “
A Pressure Drop in Alternating Curved Tubes
,”
Applied Scientific Research
, Vol.
48
, pp.
1
9
.
2.
Burger
S. A.
,
Talbot
L.
, and
Yao
L. S.
,
1983
, “
Flow in Curved Pipes
,”
Annual Review of Fluid Mechanics
, Vol.
15
, pp.
461
512
.
3.
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 Journal of Heat Transfer
, Vol.
109
, pp.
49
54
.
4.
Dean
W. R.
,
1927
, “
Note on the Motion on Fluid in a Curved Pipe
,”
Philos. Mag.
, Vol.
4
, pp.
208
223
.
5.
Gluck, B., 1986, Zustands-und Stoffwerte, Wasser, Dampf, Luft. VEB-Verlag, Berlin.
6.
Ito
H.
,
1960
, “
Pressure Losses in Smooth Pipe Bends
,”
ASME Journal of Basic Engineering
, Vol.
82
, pp.
131
143
.
7.
Ito
H.
,
1987
, “
Flow in Curved Pipes
,”
Int. Journal J.S.M.E.
, Vol.
30
, pp.
543
552
.
8.
Moffat
R. J.
,
1988
, “
Describing the Uncertainties in Experimental Results
,”
Experimental Thermal and Fluid Science
, Vol.
1
, pp.
3
17
.
9.
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)
,”
Bulletin J.S.M.E.
, Vol.
25
, pp.
24
31
.
10.
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.
11.
Wojtkowiak, J., and Popiel, C. O., 1995, “Flow Resistance Coefficient for a Helical Pipe,” Inzynieria Chemiczna i Procesowa-PAN, No. 2, pp. 273–281 (in Polish, extended English abstract).
This content is only available via PDF.
You do not currently have access to this content.