Numerical calculations have been performed on liquid-metal magnetohydrodynamic (MHD) flow in a 180°-turn (i.e. hairpin-shaped) channel, in order to contribute to design of a fusion reactor blanket. A magnetic field is applied in a direction perpendicular to an inlet channel, a turning channel (turning section) and an outlet channel. The continuity equation, the momentum equation and the induction equation have been solved numerically. In this study, attention is focused on pressure drops along the channels and pressure distribution in the turning channel. The Hartmann number (indicating magnetic field strength), the Reynolds number and the channel aspect ratio, in the present calculations, cover 100 to 500, 1000 to 5000 and 1 to 1/4, respectively. The following things have become clear from calculation results. The total MHD pressure drop from a channel inlet to a channel outlet agrees approximately with that for the total channel length, meaning that the loss coefficient for the turning channel is nearly zero or small. For large Reynolds numbers, the pressure in the peripheral region of the turning channel becomes larger than that at the channel inlet, due to the centrifugal force acting in the turning channel. It is considered that this pressure increase should be taken into account in designing a fusion reactor blanket.
| Published in | International Journal of Mechanical Engineering and Applications (Volume 7, Issue 1) |
| DOI | 10.11648/j.ijmea.20190701.11 |
| Page(s) | 1-7 |
| 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), 2019. Published by Science Publishing Group |
Magnetohydrodynamic, MHD, Liquid Metal, U-Bend, 180°-Turn, Hairpin-Shaped
| [1] | L. Buhler, C. Mistrangelo, J. Konys, R. Bhattacharyay, Q. Huang, D. Obukhov, S. Smolentsev, M. Utili, “Facilities, testing program and modeling needs for studying liquid metal magnetohydrodynamic flows in fusion blankets,” Fusion Eng. Des., vol. 100, pp. 55-64, 2015. |
| [2] | H. Kumamaru, K. Shimoda, K. Itoh, “Three-dimensional numerical calculations on liquid-metal magnetohydrodynamic flow through circular pipe in magnetic-field inlet-region,” J. Nucl. Sci. Technol., vol. 44, pp. 714-722, 2007. |
| [3] | H. Kumamaru, K. Itoh, Y. Shimogonya, “Three-dimensional numerical analyses on liquid-metal magnetohydrodynamic flow through circular pipe in magnetic-field outlet-region,” InTechOpen, Trends in Electromagnetism -- From Fundamentals to Applications, Part 3, Chap. 9, pp. 207-222, 2012. |
| [4] | T. Zhou, Z. Meng, H. Zhang, H. Chen, Y. Song, “Code validation for the magnetohydrodynamic flow at high Hartmann number based on unstructured grid,” Fusion Eng. Des., vol. 88, pp. 2885-2890, 2013. |
| [5] | C. N. Kim, “Liquid metal magnetohydrodynamic flows in an electrically conducting rectangular duct with sudden expansion,” Computers & Fluids, vol. 89, pp. 232-241, 2014. |
| [6] | J. Feng, Q. He, H. Chen, M. Ye, “Numerical investigation of magnetohydrodynamic flow through sudden expansion pipes in liquid metal blankets,” Fusion Eng. Des., vol. 109-111, pp. 1360-1364, 2016. |
| [7] | H. Kumamaru, “Numerical analyses on liquid-metal magnetohydrodynamic flow in sudden channel expansion,” J. Nucl. Sci. Technol., vol. 54, pp. 242-252, 2017. |
| [8] | C. N. Kim, “A liquid metal magnetohydrodynamic duct flow with sudden contraction in a direction perpendicular to a magnetic field,” Computers & Fluids, vol. 108, pp. 156-167, 2015. |
| [9] | H. Kumamaru, “Numerical analyses on liquid-metal magnetohydrodynamic flow in sudden channel contraction,” J. Nucl. Sci. Technol., vol. 54, pp. 1300-1309, 2017. |
| [10] | Q. He, J. Feng, H. Chen, “Numerical analysis and optimization of 3D magnetohydrodynamic flows in rectangular U-bend,” Fusion Eng. Des., vol. 109-111, pp. 1313-1317, 2016. |
| [11] | X. Xiao, C. N. Kim, “Magnetohydrodynamic flows in a hairpin duct under a magnetic field applied perpendicular to the plane of flow,” Appl. Math. Comput., vol. 240, pp. 1-15, 2014. |
| [12] | A. Tassone, G. Caruso, A. D. Nevo, I. D. Piazza, “CFD simulation of the magnetohydrodynamic flow inside the WCLL breeding blanket module,” Fusion Eng. Des., vol. 124, pp. 705-709, 2017. |
| [13] | C. Mistrangelo, L. Buhler, “Liquid metal magneto-hydrodynamic flows in manifolds of dual coolant lead lithium blankets,” Fusion Eng. Des., vol. 89, pp. 1319-1323, 2014. |
| [14] | A. Patel, R. Bhattacharyay, R. Srinivasan, E. Rajendrakumar, P. Bhuyan, P. Satyamurthy, P. Swain, K. S. Goswami, “3D thermo-fluid MHD simulation of single straight channel flow in LLCB TBM,” Fusion Eng. Des., vol. 87, pp. 498-502, 2012. |
| [15] | C. Kawczynski, S. Smolentsev, M. Abdou, “An induction-based magnetohydrodynamic 3D code for finite magnetic Reynolds number liquid-metal flows in fusion blankets,” Fusion Eng. Des., vol. 109-111, pp. 422-425, 2016. |
| [16] | J. A. Shercliff, “Steady motion of conducting fluids in pipes under transverse magnetic fields,” Proc. Camb. Phil. Soc., vol. 49, pp. 136-144, 1953. |
| [17] | S. Smolentsev et al., “An approach to verification and validation of MHD codes for fusion applications,” Fusion Eng. Des., vol. 100, pp. 65-72, 2015. |
APA Style
Hiroshige Kumamaru, Naohisa Takagaki. (2019). Numerical Analyses on Liquid-Metal Magnetohydrodynamic Flow in 180°-Turn Channel. International Journal of Mechanical Engineering and Applications, 7(1), 1-7. https://doi.org/10.11648/j.ijmea.20190701.11
ACS Style
Hiroshige Kumamaru; Naohisa Takagaki. Numerical Analyses on Liquid-Metal Magnetohydrodynamic Flow in 180°-Turn Channel. Int. J. Mech. Eng. Appl. 2019, 7(1), 1-7. doi: 10.11648/j.ijmea.20190701.11
AMA Style
Hiroshige Kumamaru, Naohisa Takagaki. Numerical Analyses on Liquid-Metal Magnetohydrodynamic Flow in 180°-Turn Channel. Int J Mech Eng Appl. 2019;7(1):1-7. doi: 10.11648/j.ijmea.20190701.11
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Download@article{10.11648/j.ijmea.20190701.11,
author = {Hiroshige Kumamaru and Naohisa Takagaki},
title = {Numerical Analyses on Liquid-Metal Magnetohydrodynamic Flow in 180°-Turn Channel},
journal = {International Journal of Mechanical Engineering and Applications},
volume = {7},
number = {1},
pages = {1-7},
doi = {10.11648/j.ijmea.20190701.11},
url = {https://doi.org/10.11648/j.ijmea.20190701.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmea.20190701.11},
abstract = {Numerical calculations have been performed on liquid-metal magnetohydrodynamic (MHD) flow in a 180°-turn (i.e. hairpin-shaped) channel, in order to contribute to design of a fusion reactor blanket. A magnetic field is applied in a direction perpendicular to an inlet channel, a turning channel (turning section) and an outlet channel. The continuity equation, the momentum equation and the induction equation have been solved numerically. In this study, attention is focused on pressure drops along the channels and pressure distribution in the turning channel. The Hartmann number (indicating magnetic field strength), the Reynolds number and the channel aspect ratio, in the present calculations, cover 100 to 500, 1000 to 5000 and 1 to 1/4, respectively. The following things have become clear from calculation results. The total MHD pressure drop from a channel inlet to a channel outlet agrees approximately with that for the total channel length, meaning that the loss coefficient for the turning channel is nearly zero or small. For large Reynolds numbers, the pressure in the peripheral region of the turning channel becomes larger than that at the channel inlet, due to the centrifugal force acting in the turning channel. It is considered that this pressure increase should be taken into account in designing a fusion reactor blanket.},
year = {2019}
}
TY - JOUR T1 - Numerical Analyses on Liquid-Metal Magnetohydrodynamic Flow in 180°-Turn Channel AU - Hiroshige Kumamaru AU - Naohisa Takagaki Y1 - 2019/03/01 PY - 2019 N1 - https://doi.org/10.11648/j.ijmea.20190701.11 DO - 10.11648/j.ijmea.20190701.11 T2 - International Journal of Mechanical Engineering and Applications JF - International Journal of Mechanical Engineering and Applications JO - International Journal of Mechanical Engineering and Applications SP - 1 EP - 7 PB - Science Publishing Group SN - 2330-0248 UR - https://doi.org/10.11648/j.ijmea.20190701.11 AB - Numerical calculations have been performed on liquid-metal magnetohydrodynamic (MHD) flow in a 180°-turn (i.e. hairpin-shaped) channel, in order to contribute to design of a fusion reactor blanket. A magnetic field is applied in a direction perpendicular to an inlet channel, a turning channel (turning section) and an outlet channel. The continuity equation, the momentum equation and the induction equation have been solved numerically. In this study, attention is focused on pressure drops along the channels and pressure distribution in the turning channel. The Hartmann number (indicating magnetic field strength), the Reynolds number and the channel aspect ratio, in the present calculations, cover 100 to 500, 1000 to 5000 and 1 to 1/4, respectively. The following things have become clear from calculation results. The total MHD pressure drop from a channel inlet to a channel outlet agrees approximately with that for the total channel length, meaning that the loss coefficient for the turning channel is nearly zero or small. For large Reynolds numbers, the pressure in the peripheral region of the turning channel becomes larger than that at the channel inlet, due to the centrifugal force acting in the turning channel. It is considered that this pressure increase should be taken into account in designing a fusion reactor blanket. VL - 7 IS - 1 ER -
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