Numerical Investigation of Electrohydrodynamic Plumes for Locally Enhanced Cooling in Dielectric Liquids

In this paper, we numerically explored the potential application of electrohydrodynamic (EHD) plumes in cooling local regions with high temperature. The EHD plume is induced by ion injection from a sharp metallic blade immersed in a dielectric liquid. A 2-D simulation which took into account all relevant physical variables for EHD plumes in a nonisothermal liquid was performed. It is found that both the local and average Nusselt numbers dramatically increase with the increase of the electric Rayleigh number $(T)$ and the injection strength parameter $(C)$ . However, for the same $T$ and $C$ , the heat transfer augmentation effect is stronger for small Rayleigh numbers $(Ra)$ , which can be understood by comparing the relative importance between Coulomb force and buoyancy force.

[1]  Alberto T. Pérez,et al.  Dynamics and linear stability of charged jets in dielectric liquids , 1995 .

[2]  Daniele Testi,et al.  Heat transfer enhancement on the upper surface of a horizontal heated plate in a pool by ion injection from a metallic point , 2004 .

[3]  Ph. Traore,et al.  Numerical simulation and PIV experimental analysis of electrohydrodynamic plumes induced by a blade electrode , 2010 .

[4]  Y. Stishkov,et al.  Features of electrohydrodynamic flows in needle-plane electrode system , 2008, 2008 IEEE International Conference on Dielectric Liquids.

[5]  F. Topin,et al.  An overview of heat transfer enhancement methods and new perspectives: Focus on active methods using electroactive materials , 2013 .

[6]  C. Rhie,et al.  Numerical Study of the Turbulent Flow Past an Airfoil with Trailing Edge Separation , 1983 .

[7]  T. Jones,et al.  Electrohydrodynamically enhanced heat transfer in liquids - A review , 1979 .

[8]  Majid Molki,et al.  Targeted heat transfer augmentation in circular tubes using a corona jet , 2012 .

[9]  A. Castellanos,et al.  Numerical modelling of Coulomb-driven convection in insulating liquids , 1997, Journal of Fluid Mechanics.

[10]  John S. Shrimpton,et al.  Turbulent three-dimensional dielectric electrohydrodynamic convection between two plates , 2012, Journal of Fluid Mechanics.

[11]  Alberto T. Pérez,et al.  Two-dimensional numerical analysis of electroconvection in a dielectric liquid subjected to strong unipolar injection , 2012 .

[12]  D. Spalding,et al.  A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows , 1972 .

[13]  A. N. Mordvinov,et al.  Electroconvection under injection from cathode and heating from above , 2012 .

[14]  Rakshit Tirumala,et al.  Corona discharges in asymmetric electric fields and its impact on ionic wind generation , 2013 .

[15]  Philippe Traore,et al.  An efficient finite volume method for electric field–space charge coupled problems , 2013 .

[16]  Alberto T. Pérez,et al.  The electrohydrodynamic plume between a line source of ions and a flat plate-theory and experiment , 1992 .

[17]  John S. Shrimpton Charge Injection Systems , 2009 .

[18]  J. Seyed-Yagoobi,et al.  Enhancement of heat transfer and mass transport in single-phase and two-phase flows with electrohydrodynamics , 1999 .

[19]  Daniele Testi,et al.  Heat transfer enhancement in a vertical annulus by electrophoretic forces acting on a dielectric liquid , 2004 .

[20]  Suresh V. Garimella,et al.  Ionic winds for locally enhanced cooling , 2007 .

[21]  George E. Georghiou,et al.  Numerical analysis of the stability of the electrohydrodynamic (EHD) electroconvection between two plates , 2008 .

[22]  M. Daaboul,et al.  PIV measurements on charged plumes-influence of SiO2 seeding particles on the electrical behavior , 2009, IEEE Transactions on Dielectrics and Electrical Insulation.

[23]  H. Martin Heat and Mass Transfer between Impinging Gas Jets and Solid Surfaces , 1977 .

[24]  Antonio Castellanos,et al.  Stability analysis of a Taylor–Couette flow of insulating fluid subjected to radial unipolar injection of charge , 1998 .

[25]  Christophe Louste,et al.  Transient velocity induced by electric injection in blade-plane geometry , 2009 .

[26]  M. Daaboul,et al.  Experimental estimation of the electric force induced by a blade-plane actuator , 2013, 2014 IEEE 18th International Conference on Dielectric Liquids (ICDL).

[27]  A. W. Schorr,et al.  Steady laminar natural convection plumes above a horizontal line heat source , 1970 .

[28]  P.A. Vazquez,et al.  Numerical calculations of two-dimensional EHD plumes with finite element and particle methods , 2003, 2003 Annual Report Conference on Electrical Insulation and Dielectric Phenomena.

[29]  Philippe Traore,et al.  Direct numerical simulation of electrohydrodynamic plumes generated by a hyperbolic blade electrode , 2013 .

[30]  R. Tobazeon,et al.  Electrohydrodynamic instabilities and electroconvection in the transient and A.C. regime of unipolar injection in insulating liquids: A review , 1984 .

[31]  Antonio Castellanos,et al.  Coulomb-driven convection in electrohydrodynamics , 1991 .

[32]  M. Zahn,et al.  Electrohydrodynamic plumes in point-plane geometry , 1997 .

[33]  Daniele Testi,et al.  EHD enhanced heat transfer in a vertical annulus , 2005 .

[34]  F. Higuera Electrohydrodynamic flow of a dielectric liquid around a blade electrode , 2000 .

[35]  A. Castellanos,et al.  Finite element-particle method calculation of EHD plumes , 2002, Annual Report Conference on Electrical Insulation and Dielectric Phenomena.

[36]  Daniele Testi,et al.  Heat Transfer Enhancement by Electric Fields in Several Heat Exchange Regimes , 2006, Annals of the New York Academy of Sciences.

[37]  Philippe Traore,et al.  Velocity and Turbulence Intensity of an EHD Impinging Dielectric Liquid Jet in Blade–Plane Geometry , 2013, IEEE Transactions on Industry Applications.

[38]  Alberto T. Pérez,et al.  Thermal and electrohydrodynamic plumes. A comparative study , 1996 .

[39]  P.A. Vazquez,et al.  Numerical modeling of EHD flows due to injectors of finite size , 2000, 2000 Annual Report Conference on Electrical Insulation and Dielectric Phenomena (Cat. No.00CH37132).

[40]  Suresh V. Garimella,et al.  Enhancement of external forced convection by ionic wind , 2008 .

[41]  Electrohydrodynamic instability and motion induced by injected space charge in insulating liquids , 1996 .

[42]  Jian Wu,et al.  On the limitation of imposed velocity field strategy for Coulomb-driven electroconvection flow simulations , 2013, Journal of Fluid Mechanics.

[43]  J. B. Hull,et al.  NUMERICAL MODELING OF ELECTROHYDRODYNAMIC (EHD) EFFECT ON NATURAL CONVECTION IN AN ENCLOSURE , 2004 .

[44]  B. P. Leonard,et al.  A stable and accurate convective modelling procedure based on quadratic upstream interpolation , 1990 .

[45]  Alberto T. Pérez,et al.  Numerical modelling of finite-amplitude electro-thermo-convection in a dielectric liquid layer subjected to both unipolar injection and temperature gradient , 2010, Journal of Fluid Mechanics.

[46]  P.A. Vazquez,et al.  Numerical simulation of two-dimensional EHD plumes mixing finite element and particle methods , 2004, The 17th Annual Meeting of the IEEE Lasers and Electro-Optics Society, 2004. LEOS 2004..

[47]  H. Deconinck,et al.  Design principles for bounded higher-order convection schemes - a unified approach , 2007, J. Comput. Phys..

[48]  Castellanos,et al.  Role of charge diffusion in finite-amplitude electroconvection. , 1989, Physical review. A, General physics.

[49]  H. Romat,et al.  Numerical study of an electrohydrodynamic plume between a blade injector and a flat plate , 2009, IEEE Transactions on Dielectrics and Electrical Insulation.