TY - JOUR
T1 - Effect of Torsion on the Friction Factor of Helical Pipe Flow
AU - Datta, Anup Kumer
AU - Yanase, Shinichiro
AU - Hayamizu, Yasutaka
AU - Kouchi, Toshinori
AU - Nagata, Yasunori
AU - Yamamoto, Kyoji
N1 - Funding Information:
A. K. Datta would like to gratefully acknowledge the financial support from the Japanese Ministry of Education, Culture, Sports, Science and Technology (MEXT) for supporting his study in Japan. Y. Hayamizu and S. Yanase would like to give their cordial thanks to MEXT for the financial support through Grant-in-Aid for Scientific Research No. 15K05814.
Publisher Copyright:
© 2017 The Physical Society of Japan
PY - 2017/6/15
Y1 - 2017/6/15
N2 - Three-dimensional direct numerical simulations of a viscous incompressible fluid flow through a helical pipe with a circular cross section were conducted for three Reynolds numbers, Re (= 80, 300, and 1000), and two nondimensional curvatures, δ (= 0.1 and 0.05), over a wide range of torsion parameters, β (= nondimensional torsion=2 √2δ), from 0.02 to 2.8. Well-developed axially invariant regions were obtained where the friction factors were calculated, in good agreement with the experimental data obtained by Yamamoto et al. [Fluid Dyn. Res. 16, 237 (1995)]. It was found that the friction factor sharply increases as β increases from zero, then decreases after taking a maximum, and finally slowly approaches that of a straight pipe when β tends to infinity. It is interesting that a peak of the friction factor exists in the region 0.2 ≤ β ≤ 0.3 for all the Reynolds numbers and curvatures studied in the present paper, which manifests the importance of the torsion parameter in helical pipe flow.
AB - Three-dimensional direct numerical simulations of a viscous incompressible fluid flow through a helical pipe with a circular cross section were conducted for three Reynolds numbers, Re (= 80, 300, and 1000), and two nondimensional curvatures, δ (= 0.1 and 0.05), over a wide range of torsion parameters, β (= nondimensional torsion=2 √2δ), from 0.02 to 2.8. Well-developed axially invariant regions were obtained where the friction factors were calculated, in good agreement with the experimental data obtained by Yamamoto et al. [Fluid Dyn. Res. 16, 237 (1995)]. It was found that the friction factor sharply increases as β increases from zero, then decreases after taking a maximum, and finally slowly approaches that of a straight pipe when β tends to infinity. It is interesting that a peak of the friction factor exists in the region 0.2 ≤ β ≤ 0.3 for all the Reynolds numbers and curvatures studied in the present paper, which manifests the importance of the torsion parameter in helical pipe flow.
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U2 - 10.7566/JPSJ.86.064403
DO - 10.7566/JPSJ.86.064403
M3 - Article
AN - SCOPUS:85020756999
VL - 86
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 6
M1 - 064403
ER -