Numerical investigation of injection-induced electro-convection in a dielectric liquid between two eccentric cylinders

Castellanos, 1998 Atten, 1996, Electrohydrodynamic instability and motion induced by injected space charge in insulating liquids, IEEE Trans. Dielectr. Electr. Insul., 3, 1, 10.1109/94.485510 Zhang, 2014, Electro-optic signatures of turbulent electroconvection in dielectric liquids, Appl. Phys. Lett., 104 Denat, 1979, Ion injections in hydrocarbons, J. Electrostat., 7, 205, 10.1016/0304-3886(79)90073-1 Seyed-Yagoobi, 2005, Electrohydrodynamic pumping of dielectric liquids, J. Electrostat., 63, 861, 10.1016/j.elstat.2005.03.047 Rashidi, 2017, EHD in thermal energy systems-A review of the applications, modelling, and experiments, J. Electrostat., 90, 1, 10.1016/j.elstat.2017.08.008 Fylladitakis, 2014, Review on the history, research, and applications of electrohydrodynamics, IEEE Trans. Plasma Sci., 42, 358, 10.1109/TPS.2013.2297173 Seyed-Yagoobi, 1999, Enhancement of heat transfer and mass transport in single-phase and two-phase flows with electrohydrodynamics, Adv. Heat Transf., 33, 95, 10.1016/S0065-2717(08)70304-6 Singh, 2012, A comprehensive review on electrohydrodynamic drying and high-voltage electric field in the context of food and bioprocessing, Dry. Technol., 30, 1812, 10.1080/07373937.2012.708912 Kourmatzis, 2014, Electrohydrodynamic inter-electrode flow and liquid jet characteristics in charge injection atomizers, Exp. Fluids, 55, 10.1007/s00348-014-1688-6 Atten, 1972, Stabilité électrohydrodynamique des liquides isolants soumis à une injection unipolaire, J. Mécanique, 11, 471 Lacroix, 1975, Electro-convection in a dielectric liquid layer subjected to unipolar injection, J. Fluid Mech., 69, 539, 10.1017/S0022112075001553 Watson, 1970, Electrohydrodynamic stability of space‐charge‐limited currents in dielectric liquids. II. Experimental Study, Phys. Fluids, 13, 1955, 10.1063/1.1693191 Atten, 1979, Non-linear hydrodynamic stability of liquids subjected to unipolar injection, J. De Mecanique, 18, 469 Atten, 1978, Electrohydrodynamic stability of liquids subjected to unipolar injection: non linear phenomena, J. Electrostat., 5, 439, 10.1016/0304-3886(78)90036-0 Suh, 2012, Modeling and simulation of ion transport in dielectric liquids-Fundamentals and review, IEEE Trans. Dielectr. Electr. Insul., 19, 831, 10.1109/TDEI.2012.6215086 Chicón, 1997, Numerical modelling of Coulomb-driven convection in insulating liquids, J. Fluid Mech., 344, 43, 10.1017/S0022112097005934 Vázquez, 2006, Characterization of injection instabilities in electrohydrodynamics by numerical modelling: comparison of particle in cell and flux corrected transport methods for electroconvection between two plates, J. Phys. D Appl. Phys., 39, 2754, 10.1088/0022-3727/39/13/019 Vázquez, 2008, Numerical analysis of the stability of the electrohydrodynamic (EHD) electroconvection between two plates, J. Phys. D Appl. Phys., 41, 10.1088/0022-3727/41/17/175303 Traoré, 2012, Two-dimensional numerical analysis of electroconvection in a dielectric liquid subjected to strong unipolar injection, Phys. Fluids, 24, 10.1063/1.3685721 Wu, 2015, A finite-volume method for electro-thermoconvective phenomena in a plane layer of dielectric liquid, Num. Heat Transf. Part A, 68, 471, 10.1080/10407782.2014.986410 Vázquez, 2013, Fluids. numerical simulation of EHD flows using discontinuous Galerkin finite element methods, Comput. Fluids, 84, 270, 10.1016/j.compfluid.2013.06.013 Luo, 2016, Lattice Boltzmann model for Coulomb-driven flows in dielectric liquids, Phys. Rev. E, 93, 10.1103/PhysRevE.93.023309 Luo, 2017, Unified lattice boltzmann method for electric field–space charge coupled problems in complex geometries and its applications to annular electroconvection, IEEE Trans. Ind. Appl., 53, 3995, 10.1109/TIA.2017.2691761 Guan, 2019, Two relaxation time lattice Boltzmann method coupled to fast Fourier transform Poisson solver: application to electroconvective flow, J. Comput. Phys., 397, 10.1016/j.jcp.2019.07.029 Su, 2019, Simulation of electroconvection in a dielectric liquid by Dugks, Comput. Fluids, 188, 31, 10.1016/j.compfluid.2019.05.006 Wang, 2019, Spectral element method for numerical simulation of Ethd enhanced heat transfer in an enclosure with uniform and sinusoidal temperature boundary conditions, Int. J. Heat Mass Transf., 141, 949, 10.1016/j.ijheatmasstransfer.2019.07.010 Pan, 2020, Unconditionally energy stable schemes for an electrohydrodynamic model of charge transport in dielectric liquids, Comput. Methods Appl. Mech. Eng., 361, 10.1016/j.cma.2019.112817 Wang, 2016, Numerical investigation of electrohydrodynamic instability and bifurcation in a dielectric liquid subjected to unipolar injection, Comput. Fluids, 136, 1, 10.1016/j.compfluid.2016.05.009 Kourmatzis, 2016, Characteristics of electrohydrodynamic roll structures in laminar planar Couette flow, J. Phys. D Appl. Phys., 49, 10.1088/0022-3727/49/4/045503 Angeli, 2010, A critical review of buoyancy-induced flow transitions in horizontal annuli, Int. J. Therm. Sci., 49, 2231, 10.1016/j.ijthermalsci.2010.08.002 Grassi, 2005, Heat transfer enhancement in a vertical annulus by electrophoretic forces acting on a dielectric liquid, Int. J. Therm. Sci., 44, 1072, 10.1016/j.ijthermalsci.2005.03.017 Kourmatzis, 2009, Electrohydrodynamics and charge injection atomizer: a review of the governing equations and turbulence, At. Sprays., 19, 1045, 10.1615/AtomizSpr.v19.i11.40 Agrait, 1990, Linear convective patterns in cylindrical geometry for unipolar injection, Phys. Fluids A, 2, 37, 10.1063/1.857689 Atten, 1995, EHD convection in a dielectric liquid subjected to unipolar injection: coaxial wire/cylinder geometry, J. Electrostat., 34, 279, 10.1016/0304-3886(94)00038-X Fernandes, 2012, Numerical simulation of the electro-convective onset and complex flows of dielectric liquid in an annulus, J. Mech. Sci. Technol., 26, 3785, 10.1007/s12206-012-1005-3 Fernandes, 2013, Electrohydrodynamic instability of dielectric liquid between concentric circular cylinders subjected to unipolar charge injection, J. Mech. Sci. Technol., 27, 461, 10.1007/s12206-012-1260-3 Hassen, 2013, Electroconvection between coaxial cylinders of arbitrary ratio subjected to strong unipolar injection, J. Electrostat., 71, 882, 10.1016/j.elstat.2013.07.002 Wu, 2015, Complex flow patterns at the onset of annular electroconvection in a dielectric liquid subjected to an arbitrary unipolar injection, IEEE Trans. Dielectr. Electr. Insul., 22, 2637, 10.1109/TDEI.2015.005157 Wu, 2014, Finite amplitude electroconvection induced by strong unipolar injection between two coaxial cylinders, Phys. Fluids, 26 Landau, 1971 Lara, 1997, Stability analysis of Taylor–Couette flow subjected to a weakunipolar injection of charge. Electrical insulation and dielectric phenomena Lara, 1998, Stability analysis of a Taylor–Couette flow of insulating fluid subjected to radial unipolar injection of charge, Phys. Fluids, 10, 3088, 10.1063/1.869837 Hassen, 2014, Numerical study of the electro–thermo-convection in an annular dielectric layer subjected to a partial unipolar injection, Int. J. Heat Fluid Flow, 50, 201, 10.1016/j.ijheatfluidflow.2014.08.003 Wu, 2016, Charge injection enhanced natural convection heat transfer in horizontal concentric annuli filled with a dielectric liquid, Int. J. Heat Mass Transf., 92, 139, 10.1016/j.ijheatmasstransfer.2015.08.088 Hassen, 2017, Analysis of the electro-thermo-convection induced by a strong unipolar injection between two concentric or eccentric cylinders, Num. Heat Trans. Part A, 71, 789, 10.1080/10407782.2017.1308725 Li, 2019, Oscillatory flows of electro-thermo-convection in eccentric annulus, Int. J. Heat Mass Transf., 134, 920, 10.1016/j.ijheatmasstransfer.2019.01.090 Pérez, 1989, Role of charge diffusion in finite-amplitude electroconvection, Phys. Rev. A, 40, 5844, 10.1103/PhysRevA.40.5844 Tobazeon, 1984, Electrohydrodynamic instabilities and electroconvection in the transient and A.C. regime of unipolar injection in insulating liquids: a review, J. Electrostat., 15, 359, 10.1016/0304-3886(84)90055-X Tsai, 2007, Direct numerical simulation of supercritical annular electroconvection, Phys. Rev. E, 76 Kourmatzis, 2012, Turbulent three-dimensional dielectric electrohydrodynamic convection between two plates, J. Fluid Mech., 696, 228, 10.1017/jfm.2012.30 Khaddour, 2008, Numerical solution of the corona discharge problem based on mesh redefinition and test for a charge injection law, J. Electrostat., 66, 254, 10.1016/j.elstat.2008.01.009 Leonard, 1979, A stable and accurate convective modelling procedure based on quadratic upstream interpolation, Comput. Methods Appl. Mech. Eng., 19, 59, 10.1016/0045-7825(79)90034-3 Issa, 1986, The computation of compressible and incompressible recirculating flows by a non-iterative implicit scheme, J. Comput. Phys., 62, 66, 10.1016/0021-9991(86)90100-2 Kuehn, 1978, An experimental study of natural convection heat transfer in concentric and eccentric horizontal cylindrical annuli, J. Heat Transf., 100, 635, 10.1115/1.3450869