Influence of Curvature and Torsion on the Friction Factor of Helical Pipe Flow

Anup Kumer Datta; Marzia Yesmin; Anindita Paul; Md. Sifuzzaman

doi:doi:10.11648/j.ae.20220602.11

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Influence of Curvature and Torsion on the Friction Factor of Helical Pipe Flow

Anup Kumer Datta, Marzia Yesmin, Anindita Paul, Md. Sifuzzaman

Published in Applied Engineering (Volume 6, Issue 2)

Received: 24 June 2022 Accepted: 25 July 2022 Published: 5 August 2022

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Abstract

Three-dimensional (3D) direct numerical simulations (DNS) were used to investigate the friction factor of helical pipe for an extensive range of curvature, torsion parameter, and the Reynolds number. In order to explore the friction factor of the helical pipe, performed steady solutions by steady 3D calculations, where the friction factor was calculated in the appearance of well-developed flow regions, being in good agreement with the experimental data. It is found that the tendency of the friction factor of the helical pipe sharply upturns when weak rotational forces due to the pitch-induced torsion are provided then reduces after taking a global maximum value of the friction factor, and finally slowly approaches that of a straight pipe when strong rotational forces gradually appears. After a comprehensive analysis of the ongoing exploration over the parametric ranges the existence of global maximum peak of the friction factor obtained whatever the values of curvature and Reynolds number. It is interesting that the present paper explored the bound of torsion parameter where the friction factor of the helical pipe is applicable to the toroidal pipe and straight pipe. For finite values of curvature over the extensive ranges, there occurs an interaction between Reynolds number and rotational forces, when various interesting phenomena arises, which reveals the crucial importance of the curvature and torsion parameter in the dynamics of helical pipe flow.

Published in	Applied Engineering (Volume 6, Issue 2)
DOI	10.11648/j.ae.20220602.11
Page(s)	30-38
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2022. Published by Science Publishing Group

Keywords

Helical Circular Pipe, Curvature Effect, Torsion Effect, Three-Dimensional Numerical Simulation, Steady Solution

References

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[2]	Liu S., Masliyah J. H. Axially invariant laminar flow in helical pipes with a finite pitch. J. Fluid Mech. 1993; 251: 315-353.
[3]	Yamamoto K., Akita T., Ikeuchi H., Kita Y. Experimental study of the flow in a helical circular tube. Fluid Dyn. Res. 1995; 16 (4): 237-249.
[4]	Yamamoto K., Yanase S., Jiang R. Stability of the flow in a helical tube. Fluid Dyn Res. 1998; 22 (3): 153-170.
[5]	Cioncolini A., Santini L. An experimental investigation regarding the laminar to turbulent flow transition in helically coiled pipes. Exp. Therm. Fluid Sci. 2006; 30: 367-380.
[6]	Xiao Y., Hu Z., Chen S., Gu H. Experimental study of two-phase frictional pressure drop of steam-water in helically coiled tubes with small coil diameters at high pressure. Appl. Therm. Eng. 2018; 132: 18–29.
[7]	Yu J., Jiang Y., Cai W., Li X., Zhu Z. Condensation flow patterns and heat transfer correction for zeotropic hydrocarbon mixtures in a helically coiled tube. Int. J. Heat Mass Tran. 2019; 143: 118500.
[8]	Datta AK., Hayamizu Y., Kouchi T., Nagata Y., Yamamoto K., Yanase S. Numerical study of turbulent helical pipe flow with comparison to the experimental. J. Fluid Eng. 2017; 139 (9): 091204.
[9]	Datta AK., Yanase S., Hayamizu Y., Kouchi T., Nagata Y., Yamamoto K. Effect of torsion on the friction factor of helical pipe flow. J. Phys. Soc. Japan 2017; 86: 064403.
[10]	Datta AK., Yanase S., Hayamizu Y., Kouchi T., Shatat MME. Laminar forced convective heat transfer in helical pipe flow. Int. J. Thermal Sci. 2017; 120; 41-49.
[11]	Garcia JP., Garcia A., Martin RH, Solano JP. Experimental correlations on critical Reynolds numbers and friction factor in tubes with wire-coil inserts in laminar, transitional and low turbulent flow regimes. Exp. Therm. Fluid Sci. 2018; 91: 64-79.
[12]	R. H. Patil, Fluid flow and heat transfer analogy for laminar and turbulent flow inside spiral tubes. Int. J. Thermal Sci. 139 (2019) 362-375.
[13]	Solanki AK., Kumar R. Condensation frictional pressure drop characteristic of R-600a inside the horizontal smooth and dimpled helical coiled tube in shell type heat exchanger. Int. J. Thermal Sci. 2020; 154: 106406.
[14]	Datta AK., Kouchi T., Hayamizu Y., Nagata Y., Yamamoto K., Yanase S. Existence of dual solutions and three-dimensional instability of helical pipe flow. Chinese J. Phys. 2021; 73: 154-166.
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APA Style

Anup Kumer Datta, Marzia Yesmin, Anindita Paul, Md. Sifuzzaman. (2022). Influence of Curvature and Torsion on the Friction Factor of Helical Pipe Flow. Applied Engineering, 6(2), 30-38. https://doi.org/10.11648/j.ae.20220602.11

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ACS Style

Anup Kumer Datta; Marzia Yesmin; Anindita Paul; Md. Sifuzzaman. Influence of Curvature and Torsion on the Friction Factor of Helical Pipe Flow. Appl. Eng. 2022, 6(2), 30-38. doi: 10.11648/j.ae.20220602.11

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AMA Style

Anup Kumer Datta, Marzia Yesmin, Anindita Paul, Md. Sifuzzaman. Influence of Curvature and Torsion on the Friction Factor of Helical Pipe Flow. Appl Eng. 2022;6(2):30-38. doi: 10.11648/j.ae.20220602.11

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@article{10.11648/j.ae.20220602.11,
  author = {Anup Kumer Datta and Marzia Yesmin and Anindita Paul and Md. Sifuzzaman},
  title = {Influence of Curvature and Torsion on the Friction Factor of Helical Pipe Flow},
  journal = {Applied Engineering},
  volume = {6},
  number = {2},
  pages = {30-38},
  doi = {10.11648/j.ae.20220602.11},
  url = {https://doi.org/10.11648/j.ae.20220602.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ae.20220602.11},
  abstract = {Three-dimensional (3D) direct numerical simulations (DNS) were used to investigate the friction factor of helical pipe for an extensive range of curvature, torsion parameter, and the Reynolds number. In order to explore the friction factor of the helical pipe, performed steady solutions by steady 3D calculations, where the friction factor was calculated in the appearance of well-developed flow regions, being in good agreement with the experimental data. It is found that the tendency of the friction factor of the helical pipe sharply upturns when weak rotational forces due to the pitch-induced torsion are provided then reduces after taking a global maximum value of the friction factor, and finally slowly approaches that of a straight pipe when strong rotational forces gradually appears. After a comprehensive analysis of the ongoing exploration over the parametric ranges the existence of global maximum peak of the friction factor obtained whatever the values of curvature and Reynolds number. It is interesting that the present paper explored the bound of torsion parameter where the friction factor of the helical pipe is applicable to the toroidal pipe and straight pipe. For finite values of curvature over the extensive ranges, there occurs an interaction between Reynolds number and rotational forces, when various interesting phenomena arises, which reveals the crucial importance of the curvature and torsion parameter in the dynamics of helical pipe flow.},
 year = {2022}
}

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TY  - JOUR
T1  - Influence of Curvature and Torsion on the Friction Factor of Helical Pipe Flow
AU  - Anup Kumer Datta
AU  - Marzia Yesmin
AU  - Anindita Paul
AU  - Md. Sifuzzaman
Y1  - 2022/08/05
PY  - 2022
N1  - https://doi.org/10.11648/j.ae.20220602.11
DO  - 10.11648/j.ae.20220602.11
T2  - Applied Engineering
JF  - Applied Engineering
JO  - Applied Engineering
SP  - 30
EP  - 38
PB  - Science Publishing Group
SN  - 2994-7456
UR  - https://doi.org/10.11648/j.ae.20220602.11
AB  - Three-dimensional (3D) direct numerical simulations (DNS) were used to investigate the friction factor of helical pipe for an extensive range of curvature, torsion parameter, and the Reynolds number. In order to explore the friction factor of the helical pipe, performed steady solutions by steady 3D calculations, where the friction factor was calculated in the appearance of well-developed flow regions, being in good agreement with the experimental data. It is found that the tendency of the friction factor of the helical pipe sharply upturns when weak rotational forces due to the pitch-induced torsion are provided then reduces after taking a global maximum value of the friction factor, and finally slowly approaches that of a straight pipe when strong rotational forces gradually appears. After a comprehensive analysis of the ongoing exploration over the parametric ranges the existence of global maximum peak of the friction factor obtained whatever the values of curvature and Reynolds number. It is interesting that the present paper explored the bound of torsion parameter where the friction factor of the helical pipe is applicable to the toroidal pipe and straight pipe. For finite values of curvature over the extensive ranges, there occurs an interaction between Reynolds number and rotational forces, when various interesting phenomena arises, which reveals the crucial importance of the curvature and torsion parameter in the dynamics of helical pipe flow.
VL  - 6
IS  - 2
ER  -

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Author Information

Anup Kumer Datta

Department of Mathematics and Statistics, Bangladesh University of Textiles, Dhaka, Bangladesh
Marzia Yesmin

Department of Mathematics and Statistics, Bangladesh University of Textiles, Dhaka, Bangladesh
Anindita Paul

Department of Mathematical and Physical Sciences, East West University, Dhaka, Bangladesh
Md. Sifuzzaman

Department of Computer Science and Engineering, Dhaka International University, Dhaka, Bangladesh

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Plain Text BibTeX RIS

APA Style

Anup Kumer Datta, Marzia Yesmin, Anindita Paul, Md. Sifuzzaman. (2022). Influence of Curvature and Torsion on the Friction Factor of Helical Pipe Flow. Applied Engineering, 6(2), 30-38. https://doi.org/10.11648/j.ae.20220602.11

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ACS Style

Anup Kumer Datta; Marzia Yesmin; Anindita Paul; Md. Sifuzzaman. Influence of Curvature and Torsion on the Friction Factor of Helical Pipe Flow. Appl. Eng. 2022, 6(2), 30-38. doi: 10.11648/j.ae.20220602.11

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AMA Style

Anup Kumer Datta, Marzia Yesmin, Anindita Paul, Md. Sifuzzaman. Influence of Curvature and Torsion on the Friction Factor of Helical Pipe Flow. Appl Eng. 2022;6(2):30-38. doi: 10.11648/j.ae.20220602.11

Copy | Download

@article{10.11648/j.ae.20220602.11,
  author = {Anup Kumer Datta and Marzia Yesmin and Anindita Paul and Md. Sifuzzaman},
  title = {Influence of Curvature and Torsion on the Friction Factor of Helical Pipe Flow},
  journal = {Applied Engineering},
  volume = {6},
  number = {2},
  pages = {30-38},
  doi = {10.11648/j.ae.20220602.11},
  url = {https://doi.org/10.11648/j.ae.20220602.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ae.20220602.11},
  abstract = {Three-dimensional (3D) direct numerical simulations (DNS) were used to investigate the friction factor of helical pipe for an extensive range of curvature, torsion parameter, and the Reynolds number. In order to explore the friction factor of the helical pipe, performed steady solutions by steady 3D calculations, where the friction factor was calculated in the appearance of well-developed flow regions, being in good agreement with the experimental data. It is found that the tendency of the friction factor of the helical pipe sharply upturns when weak rotational forces due to the pitch-induced torsion are provided then reduces after taking a global maximum value of the friction factor, and finally slowly approaches that of a straight pipe when strong rotational forces gradually appears. After a comprehensive analysis of the ongoing exploration over the parametric ranges the existence of global maximum peak of the friction factor obtained whatever the values of curvature and Reynolds number. It is interesting that the present paper explored the bound of torsion parameter where the friction factor of the helical pipe is applicable to the toroidal pipe and straight pipe. For finite values of curvature over the extensive ranges, there occurs an interaction between Reynolds number and rotational forces, when various interesting phenomena arises, which reveals the crucial importance of the curvature and torsion parameter in the dynamics of helical pipe flow.},
 year = {2022}
}

Copy | Download

TY  - JOUR
T1  - Influence of Curvature and Torsion on the Friction Factor of Helical Pipe Flow
AU  - Anup Kumer Datta
AU  - Marzia Yesmin
AU  - Anindita Paul
AU  - Md. Sifuzzaman
Y1  - 2022/08/05
PY  - 2022
N1  - https://doi.org/10.11648/j.ae.20220602.11
DO  - 10.11648/j.ae.20220602.11
T2  - Applied Engineering
JF  - Applied Engineering
JO  - Applied Engineering
SP  - 30
EP  - 38
PB  - Science Publishing Group
SN  - 2994-7456
UR  - https://doi.org/10.11648/j.ae.20220602.11
AB  - Three-dimensional (3D) direct numerical simulations (DNS) were used to investigate the friction factor of helical pipe for an extensive range of curvature, torsion parameter, and the Reynolds number. In order to explore the friction factor of the helical pipe, performed steady solutions by steady 3D calculations, where the friction factor was calculated in the appearance of well-developed flow regions, being in good agreement with the experimental data. It is found that the tendency of the friction factor of the helical pipe sharply upturns when weak rotational forces due to the pitch-induced torsion are provided then reduces after taking a global maximum value of the friction factor, and finally slowly approaches that of a straight pipe when strong rotational forces gradually appears. After a comprehensive analysis of the ongoing exploration over the parametric ranges the existence of global maximum peak of the friction factor obtained whatever the values of curvature and Reynolds number. It is interesting that the present paper explored the bound of torsion parameter where the friction factor of the helical pipe is applicable to the toroidal pipe and straight pipe. For finite values of curvature over the extensive ranges, there occurs an interaction between Reynolds number and rotational forces, when various interesting phenomena arises, which reveals the crucial importance of the curvature and torsion parameter in the dynamics of helical pipe flow.
VL  - 6
IS  - 2
ER  -

Copy | Download