Theoretical and Natural Science

- The Open Access Proceedings Series for Conferences


Theoretical and Natural Science

Vol. 30, 24 January 2024


Open Access | Article

Numerical simulation of MHD on sudden expansion duct under strong transverse magnetic field

Yipeng Liu * 1
1 University of California Irvine

* Author to whom correspondence should be addressed.

Advances in Humanities Research, Vol. 30, 243-254
Published 24 January 2024. © 2023 The Author(s). Published by EWA Publishing
This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Citation Yipeng Liu. Numerical simulation of MHD on sudden expansion duct under strong transverse magnetic field. TNS (2024) Vol. 30: 243-254. DOI: 10.54254/2753-8818/30/20241128.

Abstract

This research delves into the analysis of quasi-two-dimensional flow dynamics in liquid metal confined within a sudden expansion duct, subjected to a strong magnetic field. Utilizing numerical simulations derived from the SM82 model, the study concentrates on examining the magnetohydrodynamic (MHD) responses across a defined range of parameters. These simulations were conducted maintaining a constant Reynolds number (Re), while systematically varying the Hartmann number (Ha) across a spectrum of values [1000, 2000, 5000, 10000, 15000, 20000] to enable a thorough exploration of the magnetic field’s influence on the flow dynamics. The outcomes of this study reveal a marked transition in flow behavior corresponding with the escalation in magnetic field strength. Notably, as the magnetic field intensifies, the flow undergoes a transformation from a state of instability to stability. This shift is predominantly characterized by a diminution, followed by a complete cessation, of shear vortex shedding. Additionally, beyond a Ha of 5000 and at a longitudinal position of x = 6, both the velocity and pressure profiles begin to exhibit near-identical and symmetric characteristics. Post the Ha exceeding 1000, the vortex profile demonstrates symmetry about the y=0 axis. These observations significantly enhance the comprehension of MHD fluid dynamics under quasi-two-dimensional conditions.

Keywords

Strong Magnetic Field, Shear Layer Shedding, quasi-two-dimensional MHD flow, flow fluctuation, Hartmann Number

References

1. Abdou M., Morley N., Ying A., Smolentsev S. and Calderoni P. 2005 Overview of fusion blanket R & D in the US over the last decade Nucl. Eng. Technol. 37 401

2. Kumar, E. R., Danani, C., Sandeep, I., Chakrapani, Ch., Pragash, N. R., Chaudhari, V., Rotti, C., Raole, P. M., Alphonsa, J., Deshpande, S. P. (2008). Preliminary design of Indian test blanket module for ITER. Fusion Engineering and Design, 83(7–9), 1169–1172.

3. Malang, S., Tillack, M., Wong, C. P., Morley, N., Smolentsev, S. (2011). Development of the lead lithium (DCLL) blanket concept. Fusion Science and Technology, 60(1), 249–256.

4. Smolentsev, S., Moreau, R., Bühler, L., Mistrangelo, C. (2010). MHD thermofluid issues of liquid-metal blankets: Phenomena and advances. Fusion Engineering and Design, 85(7–9), 1196–1205.

5. Smolentsev, S., Morley, N. B., Abdou, M. A., Malang, S. (2015). Dual-coolant lead–lithium (DCLL) blanket status and R&D needs. Fusion Engineering and Design, 100, 44–54.

6. Mistrangelo, C., Bühler, L. (2014). Liquid metal magnetohydrodynamic flows in manifolds of dual coolant lead lithium blankets. Fusion Engineering and Design, 89(7–8), 1319–1323.

7. Mistrangelo, Chiara. (2006). Three-dimensional MHD flow in sudden expansions. Forschungszentrum Karlsruhe.

8. Barleon, L., Casal, V., Lenhart, L. (2003). MHD flow in liquid-metal-cooled blankets. Fusion Engineering and Design, 14(3–4), 401–412.

9. Chen, L., Smolentsev, S., Ni, M.-J. (2020). Toward full simulations for a liquid metal blanket: MHD flow computations for a PbLi blanket prototype at ha 104. Nuclear Fusion, 60(7), 076003.

10. Pothérat, A. (2007). Quasi-two-dimensional perturbations in duct flows under transverse magnetic field. Physics of Fluids, 19(7).

11. Pothérat, A.., Sommeria, J., Moreau, R. (2000). An effective two-dimensional model for MHD flows with transverse magnetic field. Journal of Fluid Mechanics, 424, 75–100.

12. Pothérat, A.., Sommeria, J., Moreau, R. (2005). Numerical simulations of an effective two-dimensional model for flows with a transverse magnetic field. Journal of Fluid Mechanics, 534, 115–143.

13. Sommeria, J. Moreau, R. (1982). Why, how, and when, MHD turbulence becomes two-dimensional. Journal of Fluid Mechanics, 118(1), 507.

14. Zhang, X., Zikanov, O. (2018). Convection instability in a downward flow in a vertical duct with strong transverse magnetic field. Physics of Fluids, 30(11).

15. Dousset, V., Pothérat, A. (2008). Numerical simulations of a cylinder wake under a strong axial magnetic field. Physics of Fluids, 20(1).

16. Mistrangelo, C. (2011). Topological analysis of separation phenomena in liquid metal flow in sudden expansions. part 2. magnetohydrodynamic flow. Journal of Fluid Mechanics, 674, 132–162.

17. Hussam W K, Sheard G J. Heat Transfer in a High Hartmann Number MHD Duct Flow With a Circular Cylinder Placed Near the Heated Side-wall [J]. International Journal of Heat and Mass Transfer, 2013, 67: 944–954

18. Chatterjee D, Gupta S K. MHD Flow and Heat Transfer behind a Square Cylinder in a Duct under Strong Axial Magnetic Field [J]. International Journal of Heat and Mass Transfer, 2015, 88: 1-13

19. Hussam, W. K., Thompson, M. C., Sheard, G. J. (2011). Dynamics and heat transfer in a quasi-two-dimensional MHD flow past a circular cylinder in a duct at High Hartmann number. International Journal of Heat and Mass Transfer, 54(5–6), 1091–1100.

20. Deo, R. C., Mi, J., Nathan, G. J. (2008). The influence of Reynolds number on a plane jet. Physics of Fluids, 20(7).

Data Availability

The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License. Authors who publish this series agree to the following terms:

1. Authors retain copyright and grant the series right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this series.

2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the series's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this series.

3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See Open Access Instruction).

Volume Title
Proceedings of the 3rd International Conference on Computing Innovation and Applied Physics
ISBN (Print)
978-1-83558-283-1
ISBN (Online)
978-1-83558-284-8
Published Date
24 January 2024
Series
Theoretical and Natural Science
ISSN (Print)
2753-8818
ISSN (Online)
2753-8826
DOI
10.54254/2753-8818/30/20241128
Copyright
© 2023 The Author(s)
Open Access
This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

Copyright © 2023 EWA Publishing. Unless Otherwise Stated