Abstract
Generation of thermal convection flow in the liquid metal battery, a device recently proposed as a promising solution for the problem of the short-term energy storage, is analyzed using a numerical model. It is found that convection caused by Joule heating of electrolyte during charging or discharging is virtually unavoidable. It exists in laboratory prototypes larger than a few centimeters in size and should become much stronger in larger-scale batteries. The phenomenon needs further investigation in view of its positive (enhanced mixing of reactants) and negative (loss of efficiency and possible disruption of operation due to the flow-induced deformation of the electrolyte layer) effects.
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References
Adams, J.C., Swarztrauber, P., Sweet, R.: Efficient fortran subprograms for the solution of separable elliptic partial differential equations. http://www.cisl.ucar.edu/css/software/fishpack/ (1999)
Arguss, B.: Regenerative battery. US Patent 3,245,836 (1966)
Chandrasekhar S.: Hydrodynamic and hydromagnetic stability. Oxford-Clarendon Press, Oxford (1961)
Davidson P.A.: An Introduction to Magnetohydrodynamics. Cambridge University Press, Cambridge (2001)
Davidson P.A., Lindsay R.I.: Stability of interfacial waves in aluminium reduction cells. J. Fluid Mech. 362, 273–295 (1998)
Herreman W., Nore C., Cappanera L., Guermond J.L.: Tayler instability in liquid metal columns and liquid metal batteries. J. Fluid Mech. 771, 79–114 (2015)
Kelley, D.H., Sadoway, D.R.: Mixing in a liquid metal electrode. Phys. Fluids 26(5), 057,102 (2014)
Kim H., Boysen D.A., Newhouse J.M., Spatocco B.L., Chung B., Burke P.J., Bradwell D.J., Jiang K., Tomaszowska A.A., Wang K., Wei W., Ortiz L.A., Barriga S.A., Poizeau S.M., Sadoway D.R.: Liquid metal batteries: past, present, and future. Chem. Rev. 113(3), 2075–2099 (2013)
Krasnov D., Zikanov O., Boeck T.: Comparative study of finite difference approaches to simulation of magnetohydrodynamic turbulence at low magnetic Reynolds number. Comput. Fluids 50, 46–59 (2011)
Krasnov D.S., Zikanov O., Boeck T.: Numerical study of magnetohydrodynamic duct flow at high Reynolds and Hartmann numbers. J. Fluid Mech. 704, 421–446 (2012)
Kulacki F.A., Goldstein R.J.: Thermal convection in a horizontal fluid layer with uniform volumetric energy sources. J. Fluid Mech. 55, 271–287 (1972)
Liu L., Zikanov O.: Elevator mode convection in flows with strong magnetic fields. Phys. Fluids 27(4), 044103 (2015)
Lv, X., Zikanov, O.: Mixed convection in horizontal duct flow with transverse magnetic field and heating of side wall. Phys. Fluids 26(9), 097,106 (2014)
Nepomnyashchy A., Legros J.C., Simanovskii I.: Interfacial convection in multilayer systems. Springer, NY (2012)
Rüdiger G., Schultz M., Shablykov D., Hollerbach R.: Theory of current-driven instability experiments in magnetic Taylor-Couette flows. Phys. Rev. E 76, 056309 (2007)
Sadoway, D., Ceder, G., Bradwell, D.: High-amperage energy storage device with liquid metal negative electrode and methods. US Patent 8,268,471 (2012)
Seilmayer M., Stefani F., Gundrum T., Weier T., Gerbeth G., Gellert M., Rüdiger G.: Experimental evidence for a transient Tayler instability in a cylindrical liquid-metal column. Phys. Rev. Lett. 108, 108244501 (2012)
Sneyd A., Wang A.: Interfacial instability due to MHD mode coupling in aluminium reduction cells. J. Fluid Mech. 263, 343–360 (1994)
Stefani F., Weier T., Gundrum T., Gerbeth G.: How to circumvent the size limitation of liquid metal batteries due to the Tayler instability. Energy Conv. Manag. 52(8–9), 2982–2986 (2011)
Sun H., Zikanov O., Ziegler D.P.: Non-linear two-dimensional model of melt flows and interface instability in aluminum reduction cells. Fluid Dyn. Res. 35(4), 255–274 (2004)
Wang K., Jiang K., Chung B., Ouchi T., Burke P.J., Boysen D.A., Bradwell D.J., Kim H., Muecke U., Sadoway D.R.: Lithium–antimony–lead liquid metal battery for grid-level energy storage. Nature 514(7522), 348–350 (2014)
Weber N., Galindo V., Priede J., Stefani F., Weier T.: The influence of current collectors on Tayler instability and electro-vortex flows in liquid metal batteries. Phys. Fluids 27(1), 014103 (2015)
Weber N., Galindo V., Stefani F., Weier T.: Current-driven flow instabilities in large-scale liquid metal batteries, and how to tame them. J. Power Sources 265, 166–173 (2014)
Williams, D.F.: Assessment of Candidate Molten Salt Coolants for the NGNP/NHI Heat-Transfer Loop. Technical Report, ORNL (2006)
Zhang X., Zikanov O.: Mixed convection in a horizontal duct with bottom heating and strong transverse magnetic field. J. Fluid Mech. 757, 33–56 (2014)
Zhao Y., Zikanov O.: Instabilities and turbulence in magnetohydrodynamic flow in a toroidal duct prior to transition in Hartmann layers. J. Fluid Mech. 692, 288–316 (2012)
Zikanov O., Listratov Y., Sviridov V.G.: Natural convection in horizontal pipe flow with strong transverse magnetic field. J. Fluid Mech. 720, 486–516 (2013)
Zikanov O., Slinn D.N., Dhanak M.R.: Turbulent convection driven by surface cooling in shallow water. J. Fluid Mech. 464, 81–111 (2002)
Zikanov O., Thess A.: Direct numerical simulation of forced MHD turbulence at low magnetic Reynolds number. J. Fluid Mech. 358, 299–333 (1998)
Zikanov O., Thess A., Davidson P.A., Ziegler D.P.: A new approach to numerical simulation of melt flows and interface instability in Hall Heroult cells. Metall. Mater. Trans. B 31, 1541–1550 (2000)
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Communicated by Patrick Jenny.
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Shen, Y., Zikanov, O. Thermal convection in a liquid metal battery. Theor. Comput. Fluid Dyn. 30, 275–294 (2016). https://doi.org/10.1007/s00162-015-0378-1
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DOI: https://doi.org/10.1007/s00162-015-0378-1