REFERENCES
- A. Castellanos (Eds.), Electrohydrodynamics, Springer, New York, 1998.
- T. B. Jones Electrohydrodynamically Enhanced Heat Transfer in Liquids - A review, Adv. Heat Transfer, vol. 14, pp. 107–148, 1978.
- X. Chen, J. Cheng, and X. Yin Advances and Applications of Electrohydrodynamics, Chin. Sci. Bull., vol. 48, no. 11, pp. 1055–1063, 2003.
- J. Seyed-Yagoobi and J. E. Bryan Enhancement of Heat Transfer and Mass Transport in Single-Phase and Two-Phase Flows with Electrohydrodynamics, Adv. Heat Transfer, vol. 33, pp. 95–186, 1999.
- W. Grassi and D. Testi Heat Transfer Enhancement by Electric Fields in Several Heat Exchange Regimes, Ann. N. Y. Acad. Sci., vol. 1077, no. 1, pp. 527–569, 2006.
- L. Léal, M. Miscevic, P. Lavieille,., An Overview of Heat Transfer Enhancement Methods and New Perspectives: Focus on Active Methods Using Electroactive Materials, Int. J. Heat Mass Transfer, vol. 61, pp. 505–524, 2013.
- P. J. Martin and A. T. Richardson, Conductivity Models of Electrothermal Convection in a Plane Layer of Dielectric Liquid J. Heat Transfer, vol. 106, no. 1, pp.131–136, 1984.
- J. C. Ryu, H. J. Park, J. K. Park, and K. H. Kang New Electrohydrodynamic Flow Caused by the Onsager Effect, Phys. Rev. Lett., vol. 104, no. 10, pp. 104502, 2010.
- A. Denat, B. Gosse, and J. P. Gosse Ion Injections in Hydrocarbons, J. Electrostat., vol. 7, pp. 205–225, 1979.
- Y. Y. Yan, H. B. Zhang, and J. B. Hull Numerical Modeling of Electrohydrodynamic (EHD) Effect on Natural Convection in an Enclosure, Numer. Heat Transfer A, vol. 46, no. 5, pp. 453–471, 2004.
- M. J. Gross and J. E. Porter Electrically Induced Convection in Dielectric Liquids, Nature, pp. 1343–1345, 1966.
- R. J. Turnbull Electroconvective Instability with a Stabilizing Temperature Gradient. II. Experimental Results, Phys. Fluids, vol. 11, no. 12, pp. 2597–2603, 1968.
- J. C. Lacroix, P. Atten, and E. J. Hopfinger Electro-convection in a Dielectric Liquid Layer Subjected to Unipolar Injection, J. Fluid Mech., vol. 69, no. 3, pp. 539–563, 1975.
- B. Malraison and P. Atten Chaotic Behavior of Instability due to Unipolar Ion Injection in a Dielectric Liquid, Phys. Rev. Lett., vol. 49, no. 10, pp. 723–726, 1982.
- P. Atten, F. M. J. McCluskey, and A. T. Pérez Electroconvection and Its Effect on Heat Transfer, IEEE Trans. Electr. Insul., vol. 23, no. 4, pp. 659–667, 1988.
- F. M. J. McCluskey, P. Atten, and A. T. Pérez Heat Transfer Enhancement by Electroconvection Resulting from an Injected Space Charge between Parallel Plates, Int. J. Heat Mass Transfer, vol. 34, no. 9, pp. 2237–2250, 1991.
- J. Fernández and R. Poulter Radial Mass Flow in Electrohydrodynamically-Enhanced Forced Heat Transfer in Tubes, Int. J. Heat Mass Transfer, vol. 30, no. 10, pp. 2125–2136, 1987.
- W. Grassi, D. Testi, and M. Saputelli EHD Enhanced Heat Transfer in a Vertical Annulus, Int. Commun. Heat Mass Transfer, vol. 32, no. 6, pp. 748–757, 2005.
- P. Atten Electrohydrodynamic Instability and Motion Induced by Injected Space Charge in Insulating Liquids, IEEE Trans. Electr. Insul., vol. 3, no. 1, pp. 1–17, 1996.
- A. Castellanos Coulomb-Driven Convection in Electrohydrodynamics, IEEE Trans. Electr. Insul., vol. 26, no. 6, pp. 1201–1215, 1991.
- W. Worraker and A. Richardson The effect of Temperature-Induced Variations in Charge Carrier Mobility on a Stationary Electrohydrodynamic Instability, J. Fluid Mech., vol. 93, pp. 29–45, 1979.
- W. Worraker and A. Richardson A Nonlinear Stability Analysis of a Thermally Stabilized Plane Layer of Dielectric Liquid, J. Fluid Mech., vol. 109, pp. 217–237, 1981.
- A. Castellanos and M. G. Velarde Electrohydrodynamic Stability in the Presence of a Thermal Gradient, Phys. Fluids, vol. 24, pp. 1784–1786, 1981.
- P. J. Martion and A. Richardson Overstable Electrothermal Instabilities in a Plane Layer of Dielectric Liquids, J. Electrostat., vol. 12, pp. 435–439, 1982.
- A. Castellanos, P. Atten, and M. G. Velarde Electrothermal Convection: Felici's Hydraulic Model and the Landau Picture of Non-equilibrium Phase Transitions, J. Non-Equilib. Thermodyn., vol. 9, pp. 235–244, 1984.
- A. Castellanos, P. Atten, and M. G. Velarde Oscillatory and Steady Convection in Dielectric Liquid Layers Subjected to Unipolar Injection and Temperature Gradient, Phys. Fluids, vol. 27, pp. 1607–1615, 1984.
- A. Rodríguez-Luis, A. Castellanos, and A. T. Richardson Stationary Instabilities in a Dielectric Liquid Layer Subjected to an Arbitrary Unipolar Injection and Adverse Thermal Gradient, J. Phys. D: Appl. Phys., vol. 19, pp. 2115–2122, 1986.
- F. Pontiga, A. Castellanos, and A. T. Richardson The Onset of Overstable Motions in a Layer of Dielectric Liquid Subjected to the Simultaneous Action of a Weak Unipolar Injection of Charge and a Thermal Gradient, Q. J. Mech. Appl. Math., vol. 45, no. 1, pp. 25–46, 1992.
- F. Pontiga and A. Castellanos Physical Mechanisms of Instability in a Liquid Layer Subjected to an Electric Field and a Thermal Gradient, Phys. Fluids, vol. 6, no. 5, pp. 1684–1701, 1994.
- Y. K. Suh Modeling and Simulation of Ion Transport in Dielectric Liquids-Fundamentals and Review, IEEE Trans. Dielectr. Electr. Insul., vol. 19, no. 3, pp. 831–848, 2012.
- R. Chicón, A. Castellanos, and E. Martin Numerical Modelling of Coulomb-driven Convection in Insulating Liquids, J. Fluid Mech., vol. 344, pp. 43–66, 1997.
- P. Atten, J. L. Coulomb, and B. Khaddour, Modeling of Electrical Field Modified by Injected Space Charge IEEE Trans. Magn., vol. 41, no. 5, pp.1436–1439, 2005.
- P. A. Vázquez, G. E. Georghiou, and A. Castellanos Numerical Analysis of the Stability of the Electro-hydrodynamic (EHD) Electroconvection between Two Plates, J. Phys. D: Appl. Phys., vol. 41, pp. 1–10, 2008.
- P. A. Vázquez and A. Castellanos Numerical Simulation of EHD Flows Using Discontinuous Galerkin Finite Element methods, Comput. Fluids, vol. 84, no. 15, pp. 270–278, 2013.
- P. Traoré and A. T. Pérez Two-dimensional Numerical Analysis of Electroconvection in a Dielectric Liquid Subjected to Strong Unipolar Injection, Phys. Fluids, vol. 24, pp. 037102, 2012.
- P. Traoré and J. Wu On the Limitation of Imposed Velocity Field Strategy for Coulomb-Driven Electroconvection Flow Simulations, J. Fluid Mech., vol. 727, pp. R3, 2013.
- P. Traoré, A. T. Pérez, D. Koulova, and H. Romat Numerical Modelling of Finite-Amplitude Electro-Thermo-Convection in a Dielectric Liquid Layer Subjected to Both Unipolar Injection and Temperature Gradient, J. Fluid Mech., vol. 658, no. 1, pp. 279–293, 2010.
- D. Koulova, P. Traoré, H. Romat, J. Wu, and C. Louste Numerical Simulations of Electro-Thermo-Convection and Heat Transfer in 2D Cavity, J. Electrostat., vol. 71, no. 3, pp. 341–344, 2013.
- A. N. Mordvinov and B. L. Smorodin Electroconvection Under Injection from Cathode and Heating from Above, J. Exp. Theor. Phys., vol. 114, no. 5, pp. 870–877, 2012.
- A. Castellanos Entropy Production and the Temperature Equation in Electrohydrodynamics, IEEE Trans. Dielect. Electr. Insul., vol. 10, no. 1, pp. 22–26, 2003.
- J. L. Lara, F. Pontiga, and A. Castellanos Stability Analysis of a Taylor–Couette Flow of Insulating Fluid Subjected to Radial Unipolar Injection of Charge, Phys. Fluids, vol. 10, pp. 3088, 1998.
- A. T. Pérez and A. Castellanos Role of Charge Diffusion in Finite-Amplitude Electro-Convection, Phys. Rev. A, vol. 40, no. 10, pp. 5844, 1989.
- R. Tobazéon Electrohydrodynamic Instabilities and Electroconvection in the Transient and AC Regime of Unipolar Injection in Insulating Liquids: A Review, J. Electrostat., vol. 15, no. 3, pp. 359–384, 1984.
- J. Wu, P. Traoré, P. A. Vázquez, and A. T. Pérez The Onset of Convection in a Finite Two-Dimensional Container due to Unipolar Injection of Ions, Phys. Rev. E, vol. 88, pp. 053018, 2013.
- S. V. Patankar Numerical Heat Transfer and Fluid Flow, Stockholm, Washington, DC, 1980.
- P. L. Roe Characteristic-Based Schemes for the Euler Equations, Ann. Rev. Fluid Mech., vol. 8, pp. 337–365, 1986.
- W. Q. Tao, Y. L. He, Z. Y. Li, and Z. G. Qu Some Recent Advances in Finite Volume Approach and Their Applications in the Study of Heat Transfer Enhancement, Int. J. Therm. Sci., vol. 44, no. 7, pp. 623–643, 2005.
- A. Harten High Resolution Schemes for Hyperbolic Conservation Laws, J. Comput. Phys., vol. 49, no. 3, pp. 357–393, 1983.
- P. H. Gaskell and A. K. C. Lau Curvature-Compensated Convective Transport: SMART, A New Boundedness-Preserving Transport Algorithm, Int. J. Numer. Methods Fluids, vol. 8, no. 6, pp. 617–641, 1988.
- H. Jasak, H. G. Weller, and A. D. Gosman, High Resolution NVD Differencing Scheme for Arbitrarily Unstructured Meshes Int. J. Numer. Methods Fluids, vol. 31, no. 2, pp.431–449, 1999.
- N. P. Waterson and H. Deconinck Design Principles for Bounded Higher-Order Convection Schemes – A Unified Approach, J. Comput. Phys., vol. 224, no. 1, pp. 182–207, 2007.
- F. S. Lien and M. A. Leschziner Upstream Monotonic Interpolation for Scalar Transport with Application to Complex Turbulent Flows, Int. J. Numer. Methods Fluids, vol. 19, no. 6, pp. 527–548, 1994.
- P. K. Sweby High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws, SIAM J. Numer. Anal., vol. 21, no. 5, pp. 995–1011, 1984.
- P. K. Khosla and S. G. Rubin A Diagonally Dominant Second-Order Accurate Implicit Scheme, Comput. Fluids, vol. 2, pp. 207–209, 1974.
- S. V. Patankar and D. B. Spalding, A Calculation Procedure for Heat Mass and Momentum Transfer in Three-Dimensional Parabolic Flows, Int. J. Heat Mass Transfer, vol. 15, no. 10, pp. 1787–1806, 1972.
- C. M. Rhie and W. L. Chow Numerical Study of the Turbulent Flow Past an Airfoil with Trailing Edge Separation, AIAA J., vol. 21, no. 11, pp. 1525–1532, 1983.
- S. Chandrasekhar Hydrodynamic and Hydromagnetic Stability, Courier Dover Publications, 1961.
- P. Atten and R. Moreau Stabilité électrohydrodynamique des Liquides Isolants Soumis à Une Injection Unipolaire, J. Mécanique, vol. 11, no. 3, pp. 471–521, 1972.
- A. Kourmatzis and J. S. Shrimpton Turbulent Three-Dimensional Dielectric Electro-Hydrodynamic Convection Between Two Plates, J. Fluid Mech., vol. 696, pp. 228–262, 2012.
- N. Felici Phénomènes Hydro et Aérodynamiques Dans la Conduction des Diélectriques Fluids, Rev. Gén.Electr., vol. 78, pp. 717–734, 1969.
- J. Wu, P. Traoré, F-B. Tian, A. T. Pérez, C. Louste, and L. Dascalescu Effect of the Mobility Parameter on the Oscillatory Electro-convection of Dielectric Liquids Subject to Strong Unipolar Charge Injection, IEEE Trans. Ind. Appl., vol. 50, no. 4, pp. 2306–2313, 2014.
- P. Atten and L. Elouadie EHD Convection in a Dielectric Liquid Subjected to Unipolar Injection: Coaxial Wire/Cylinder Geometry, J. Electrostat., vol. 34, no. 2, pp. 279–297, 1995.