The seebeck effect produced by metal fluid under the influence of a stable magnetic field and temperature gradient can effectively enhance its heat transfer efficiency. The flow phenomena of liquid lithium and stainless steel in partially conducting pipes are simulated by using the consistent conservative numerical scheme developed for magnetohydrodynamics and the partitioned iterative algorithm for multi-domain coupled physical problems. The magnetic field direction is along the span of the pipe. The flow phenomena of liquid metal in the partially conductive tube under the action of the thermoelectric effect at Reynolds number (Re=745.6) are studied. It is found that the Lorentz force produced by the thermoelectric effect and magnetic field forms the reverse flow vortex structure at the four corners of the square tube. The reverse flow vortex increases the velocity in the central region and promotes the convective heat transfer of the liquid metal in the vortex structure at the four corners of the square tube. The reverse flow vortex increases the velocity in the central region and promotes the convective heat transfer of the liquid metal in the central region. With the increase of magnetic field intensity, the flow changes from unsteady flow to steady flow, the flow in the central region is dominated by the magnetic damping effect, the scale of the thermoelectric effect gradually shrinks to the vicinity of the boundary, and the relationship between velocity and temperature changes from two-way coupling under weak magnetic field to one-way coupling under strong magnetic field.
CHEN Zhaoqi
,
WANG Zenghui
. Thermoelectric effect on the flow and heat transfer of liquid metal in a conducting pipe under the magnetic field[J]. Journal of University of Chinese Academy of Sciences, 2025
, 42(2)
: 159
-166
.
DOI: 10.7523/j.ucas.2023.036
[1] Shercliff J A. Thermoelectric magnetohydrodynamics[J]. Journal of Fluid Mechanics, 1979, 91(2): 231-251. DOI: 10.1017/s0022112079000136.
[2] Xu Y F, Horn S, Aurnou J M. Thermoelectric precession in turbulent magnetoconvection[J]. Journal of Fluid Mechanics, 2022, 930: A8. DOI: 10.1017/jfm.2021.880.
[3] Zhang X, Cramer A, Lange A, et al. Model experiments on macroscopic thermoelectromagnetic convection[J]. Magnetohydrodynamics, 2009, 45(1): 25-42. DOI: 10.22364/mhd.45.1.3.
[4] Jaworski M A, Gray T K, Antonelli M, et al. Thermoelectric magnetohydrodynamic stirring of liquid metals[J]. Physical Review Letters, 2010, 104(9): 094503. DOI: 10.1103/PhysRevLett.104.094503.
[5] Chen L, Smolentsev S, Ni M J. Toward full simulations for a liquid metal blanket: MHD flow computations for a PbLi blanket prototype at Ha~104[J]. Nuclear Fusion, 2020, 60(7): 076003. DOI: 10.1088/1741-4326/ab8b30.
[6] 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. DOI: 10.1016/j.ijheatmasstransfer.2013.08.081.
[7] Modestov M, Kolemen E, Fisher A E, et al. Electromagnetic control of heat transport within a rectangular channel filled with flowing liquid metal[J]. Nuclear Fusion, 2018, 58(1): 016009. DOI: 10.1088/1741-4326/aa8bf4.
[8] Sahu S, Courtessole C, Ranjan A, et al. Thermal convection studies in liquid metal flow inside a horizontal duct under the influence of transverse magnetic field[J]. Physics of Fluids, 2020, 32(6): 067107. DOI: 10.1063/5.0006260.
[9] Akhmedagaev R, Zikanov O, Listratov Y. Magnetoconvection in a horizontal duct flow at very high Hartmann and Grashof numbers[J]. Journal of Fluid Mechanics, 2022, 931: A29. DOI: 10.1017/jfm.2021.987.
[10] Mistrangelo C, Bühler L, Alberghi C, et al. MHD R&D activities for liquid metal blankets[J]. Energies, 2021, 14(20): 6640. DOI: 10.3390/en14206640.
[11] 雷天扬, 孟旭, 王增辉, 等. 强磁场下液态金属微槽道流动与换热实验研究[J]. 中国科学院大学学报, 2021, 38(4): 459-466. DOI: 10.7523/j.issn.2095-6134.2021.04.004.
[12] Jasak H. Error analysis and estimation for the finite volume method with applications to fluid flows[D]. London, UK: Imperial College London, 1996.
[13] Issa R I. Solution of the implicitly discretised fluid flow equations by operator-splitting[J]. Journal of Computational Physics, 1986, 62(1): 40-65. DOI: 10.1016/0021-9991(86)90099-9.
[14] Ni M J, Munipalli R, Huang P, et al. A current density conservative scheme for incompressible MHD flows at a low magnetic Reynolds number. Part II: on an arbitrary collocated mesh[J]. Journal of Computational Physics, 2007, 227(1): 205-228. DOI: 10.1016/j.jcp.2007.07.023.
[15] Chen Z Q, Wang Z H, Chen L. Magnetic field control of three-dimensional self-driven multi-physical thermoelectric system in metal energy storage[J]. Int J Energy Res. 2022; 46(8): 11250-11264. DOI:10.1002/er.7925.
[16] Davidson P D. Introduction to magnetohydrodynamics[M]. Cambridge, UK: Cambridge University Press, 2008. DOI:10.1017/CBO9780511626333.
[17] Hunt J C R. Magnetohydrodynamic flow in rectangular ducts[J]. Journal of Fluid Mechanics, 1965, 21(4):577. DOI: 10.1017/s0022112065000344.
[18] Muller U, Buhler L, Dulikravich G S. Magnetofluiddynamics in channels and containers[J]. Applied Mechanics Reviews, 2002, 55(1): B14. DOI: 10.1115/1.1445331.
