דברו איתנו
אלכסנדר אורון

אלכסנדר אורון

Education

  • 1974 – M.Sc., Mathematics, M. V. Lomonosov-Moscow State University, Moscow, USSR
  • 1986 – D.Sc, Faculty of Mechanical Engineering, Technion – I.I.T.

Research Interests

  • Hydrodynamic instabilities
  • Instabilities of thin liquid films
  • Nonlinear evolution equations
  • Fluid mechanics in low-gravity and microgravity environment
  • Free boundary problems in hydrodynamics
  • Numerical simulations of nonlinear phenomena in hydrodynamics

Guest Appointments

  • Deutsch Research Fellow, Dept. of Chemical Engineering, California Institute of Technology, Pasadena, California, USA (1987-1988)
  • Staff (postdoctoral appointment), Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico, USA (1988-1990)
  • Visiting Scientist, NASA Lewis Research Center, Cleveland, Ohio, USA (1991-1993)
  • Visiting Scholar, Department of Applied Mathematics and Engineering Science, Northwestern University, Evanston, Illinois, USA (1995-1996)
  • Visiting Professor, Department of Mathematics, Duke University, Durham, North Carolina, USA (2005-2006)

Public Professional Activities

  • Secretary of the Israeli Association for Aerosol Research (1992-1994)
  • Faculty Seminar Coordinator (1993-1994)
  • Faculty Committee for New Immigrants (1992-1995, 1996-1998)
  • Coordinator of Undergraduate Studies, Faculty of Mechanical Engineering (1997-1998)
  • Associate Dean for Undergraduate Studies, Faculty of Mechanical Engineering (1999)
  • Chair of the Program Committee of the 29-th Israel Conference on Mechanical Engineering (2003)

Membership in Professional Societies

  • American Physical Society, Member
  • EUROMECH – European Mechanics Society, Member

Honors and Awards

  • 2018 – Arcot Ramachandran Chair Award- Indian Institute of Technology Madras
  • 2006 – British Royal Society research Award
  • 1987 – Deutsch Foundation Fellowship
  • 1987 – Wolf Foundation Fellowship
  • 1987 – Leo Wyler Foundation Fellowship

Selected Publications (from 2000)

  • A. Oron, "Nonlinear Dynamics of Irradiated Thin Volatile Liquid Films", Physics of Fluids 12, 29-41 (2000).
  • A. Oron, "Nonlinear Dynamics of Three-dimensional Long-wave Marangoni Instability in Thin Liquid Films", Physics of Fluids 12, 1633-1645 (2000).
  • A Oron, "Three- dimensional Nonlinear Dynamics of Thin Liquid Films", Physical Review Letters 85, 2108-2111 (2000).
  • S. G. Bankoff, and A. Oron, "Dewetting of a Hot Coated Solid Surface", in "Nonlinear Waves in Multiphase Flow" (edited by H.- C. Chang), Fluid Mechanics and its applications, Vol. 57, Kluwer, 205-216 (2000).
  • A. Oron and S. G. Bankoff, "Dynamics of a Condensing Liquid Film Under Conjoining/Disjoining Pressures", Physics of Fluids 13, 1107-1117 (2001).
  • A. Oron and O. Gottlieb, "Nonlinear Dynamics of Temporally Excited Falling Liquid Films", Physics of Fluids 14, 2622-2636 (2002).
  • B. Scheid, A. Oron, P. Colinet, U. Thiele and J. C. Legros, "Nonlinear Evolution of Non-uniformly Heated Falling Liquid Films", Physics of Fluids 14, 4130-4151 (2002); Erratum, Physics of Fluids 15, 583 (2003).
  • A. Oron, "Theory of Thin Liquid Films: Some Questions and Challenges", European Physical Journal E- Soft Matter 12, 455-458 (2003).
  • A. Oron and A. A. Nepomnyashchy, "Long-wavelength Thermocapillary Instability with the Soret Effect", Physical Review E 69, 016313-1— 016313-17 (2004).
  • A. Oron and O. Gottlieb, "Subcritical and Supercritical Bifurcations of the First- and Second Order Benney Equations", Journal of Engineering Mathematics 50, 121-140 (2004).
  • O. Gottlieb and A. Oron, "Stability and Bifurcations of Parametrically Excited Thin Liquid Films", International Journal of Bifurcation and Chaos 14, 4117-4141 (2004).
  • A. Podolny, A. Oron and A. A. Nepomnyashchy, "Longwave Marangoni Instability in a Binary-liquid Layer with Deformable Interface in the Presence of Soret Effect: Linear Theory", Physics of Fluids 17, 104104-1—104104-25 (2005).
  • A. Podolny, A. Oron and A. A. Nepomnyashchy, "Linear and Nonlinear Theory of Long-wave Marangoni Instability with the Soret Effect at Finite Biot Numbers", Physics of Fluids 18, 054104-1— 054104-20 (2006).
  • A. Oron, "Physics of Thin Liquid Films", Invited review paper in the MEMS Handbook, edited by M. Gad-el-Hak, Chapter 10, 10-1-10-49, CRC Press (2001). Revised and extended 2nd edition- Chapter 12, 12-1-12-49, Taylor and Francis (2006).
  • S. Shklyaev, A. A. Nepomnyashchy and A. Oron, "Three – dimensional Oscillatory Long-wave Marangoni Convection in a Binary Liquid Layer with the Soret Effect: Bifurcation Analysis", Physics of Fluids 19, 072105-1— 072105-14 (2007).
  • J. Zhang, R. P. Behringer and A. Oron, "Marangoni Convection in Binary Mixtures", Physical Review E 76, 016306-1— 016306-7 (2007).
  • A. Alexeev and A. Oron, "Suppression of the Rayleigh-Taylor Instability of Thin Liquid Films by the Marangoni Effect", Physics of Fluids 19, 082101-1— 082101-9 (2007).
  • A. Podolny, A. A. Nepomnyashchy and A. Oron, "Long- wave Marangoni Instability in a Binary Liquid Layer on a Thick Solid Substrate", Physical Review E 76, 026309-1— 026309-17 (2007).
  • L. Moldavsky, M. Fichman and A. Oron, "Dynamics of Thin Liquid Films Falling on Vertical Cylindrical Surfaces Subjected to Ultrasound Forcing", Physical Review E 76, 045301-1— 045301-4 (2007).
  • A. Podolny, A. A. Nepomnyashchy and A. Oron, "Long-wave Coupled Marangoni – Rayleigh Instability in a Binary Liquid Layer in the Presence of the Soret Effect", Mathematical Modelling of Natural Processes 3 (1), 1-26 (2008).
  • A. Oron and C. Heining, "Weighted- residual Integral Boundary- layer Model for the Nonlinear Dynamics of Thin Liquid Films Falling on an Undulating Vertical Wall", Physics of Fluids 20, 082102-1 — 082102-16 (2008).
  • G. Ramon and A. Oron, "Capillary Rise of a Meniscus with Phase Change", Journal of Colloid and Interface Science 327, 145-151 (2008).
  • O. A. Frolovskaya, A. A. Nepomnyashchy, A. Oron and A. A. Golovin, "Stability of a Two-layer Binary-fluid System with a Diffuse Interface", Physics of Fluids 20, 112105-1— 112105-16 (2008).
  • A. Oron, O. Gottlieb and E. Novbari, "Numerical Analysis of a Weighted- residual Integral Boundary- layer Model for Nonlinear Dynamics of Falling Liquid Films", European Journal of Mechanics B/Fluids 28, 1-36 (2009).
  • A. Oron, O. Gottlieb and E. Novbari, "Weighted- residual Integral Boundary- layer Model of Temporally Excited Falling Liquid Films", European Journal of Mechanics B/Fluids 28, 37-60 (2009).
  • S. Shklyaev, A. A. Nepomnyashchy and A. Oron, "Long- wave Oscillatory Convection in a Binary Liquid: Hexagonal Patterns", Europhysics Letters 86, 14005-p.1— 14005-p.6 (2009).
  • S. Shklyaev, A. A. Nepomnyashchy and A. Oron, "Marangoni Convection in a Binary Liquid Layer with Soret Effect at Small Lewis Number: Linear Stability Analysis", Physics of Fluids 21, 054101-1— 054101-18 (2009).
  • E. Novbari and A. Oron, "Energy Integral Method Model for the Nonlinear Dynamics of an Axisymmetric Thin Liquid Film Falling on a Vertical Cylinder", Physics of Fluids 21, 062107-1— 062107-17 (2009).
  • P. Kalitzova-Kurteva, S. Slavtchev and A. Oron, "Long-Wavelength Monotonic Marangoni Instability in a Binary Mixture Layer with Nonlinear Soret Effect", Journal of Theoretical and Applied Mechanics 39, 31-54 (2009).
  • S. Slavtchev, P. Kalitzova-Kurteva, and A. Oron, "Long-Wavelength Oscillatory Marangoni Instability in a Binary Mixture Layer with Nonlinear Soret Effect", Journal of Theoretical and Applied Mechanics 39, 63-78 (2009).
  • O. Haimovich and A. Oron, "Nonlinear Dynamics of a Thin Liquid Film on an Axially Oscillating Cylindrical Surface", Physics of Fluids, 22, 032101-1— 032101-14 (2010).
  • A. Podolny, A. Nepomnyashchy and A. Oron, "Rayleigh-Marangoni Instability of Binary Fluids with Small Lewis Number and Nano-Fluids in the Presence of the Soret Effect", Fluid Dynamics and Materials Processing 6, 13-39, (2010).
  • E. S. Benilov and A. Oron, "The Height of a Static Liquid Column Pulled out of an Infinite Pool", Physics of Fluids 22, 102101-1— 102101-8 (2010).
  • E. Novbari and A. Oron, "Analysis of Time-Dependent Nonlinear Dynamics of the Axisymmetric Liquid Film on a Vertical Circular Cylinder: Energy Integral Model", Physics of Fluids 23, 012105-1— 012105-12 (2011).
  • K. Kanatani and A. Oron, "Nonlinear Dynamics of Confined Thin Liquid-vapor Bilayer Systems with Phase Change", Physics of Fluids 23, 032102-1— 032102-14 (2011).
  • J. Zhang, A. Oron and R. P. Behringer, "Novel Pattern Forming States for Marangoni Convection in Volatile Binary Liquids", Physics of Fluids 23, 072102-1— 072102-5 (2011).
  • S. Shklyaev, A. A. Nepomnyashchy and A. Oron, "Oscillatory Longwave Marangoni Convection in a Layer of Binary Liquid: Hexagonal Patterns", Physical Review E 84, 056327-1— 056327-21 (2011).
  • O. Haimovich and A. Oron, "Nonlinear Dynamics of a Thin Nonisothermal Liquid Film on an Axially Oscillating Cylindrical Surface", Physical Review E 84, 061605-1— 061605- 9 (2011).
  • L. Moldavsky, C. Gutfinger, A. Oron and M. Fichman, "Effect of Sonic Waves on Gas Filtration by Granular Beds", Journal of Aerosol Science 57, 125-140 (2013).
  • O. Haimovich and A. Oron, ”Nonlinear Dynamics of a Thin Liquid Film on an Axially Oscillating Cylindrical Surface Subjected to Double-Frequency Forcing”, Physical Review E 87, 052403-1— 052403-11 (2013).
  • M. Morozov, A. Oron and A. A. Nepomnyashchy, "Nonlinear Dynamics of Long-Wave Marangoni Convection in a Binary Mixture with the Soret Effect",Physics of Fluids 25, 052107-1— 052107-19 (2013).
  • Wenbin Mao, A. Alexeev and A. Oron, "Fluid Transport in Thin Liquid Films Using Traveling Thermal Waves", Physics of Fluids 25, 072101-1— 072101-16 (2013).
  • M. Bestehorn, Qi Han and A. Oron, “Nonlinear Pattern Formation in Thin Liquid Films Under External Vibrations”, Physical Review E 88, 023025-1— 023025-5 (2013).
  • S. Slavtchev, P. Kalitzova-Kurteva, and A. Oron, "Evolution Equation for Nonlinear Long- Wavelength Monotonic Marangoni Instability in a Binary Liquid Layer with Nonlinear Soret Effect", Journal of Theoretical and Applied Mechanics 43, 95-102 (2013).
  • S. Shklyaev, A. A. Nepomnyashchy and A. Oron, "Finite-Amplitude Three-Dimensional Oscillatory Longwave Marangoni Convection in a Binary Liquid Layer with the Soret Effect. Part 1: Two-Dimensional Patterns and Patterns on a Rhombic Lattice", SIAM Journal of Applied Mathematics 73, 2203-2223 (2013).
  • P. Rosenau and A. Oron, "On Compactons Induced by a Non-Convex Convection", Communications in Nonlinear Science and Numerical Simulations 19, 1329-1337 (2014).
  • S. Shklyaev, A. A. Nepomnyashchy and A. Oron, "Oscillatory Longwave Marangoni Convection in a Binary Liquid Layer. Part 2: Square Patterns", SIAM Journal of Applied Mathematics 74, 1005-1024 (2014).
  • S. Duruk and A. Oron, “Stability Analysis of a Thin Liquid Film on an Axially Oscillating Cylindrical Surface in the High-Frequency Limit”, Physical Review E 90, 023007-1— 023007- 13 (2014).
  • V. Frumkin, Wenbin Mao, A. Alexeev and A. Oron, “Creating Localized-Droplet Train by Traveling Thermal Waves", Physics of Fluids 26, 082108-1— 082108-13 (2014).
  • M. Morozov, A. Oron and A. A. Nepomnyashchy, “Long-wave Marangoni Convection in a Layer of Surfactant Solution”, Physics of Fluids 26, 112101-1— 112101-27 (2014).
  • O. Haimovich and A. Oron, "Healing of an Axisymmetric Thin Liquid Film on a Harmonically Oscillating Horizontal Cylindrical Surface", Acta Mechanica, 226, 3587-3396 (2015).
  • W. Batson, Y. Agnon, and A. Oron, "Mass Variation of a Thin Liquid Film Driven by an Acoustic Wave", Physics of Fluids 27, 062106-1— 062106-20 (2015). Erratum: Physics of Fluids 27, 089901 (2015)
  • M. Morozov, A. Oron and A. A. Nepomnyashchy, "Long-wave Marangoni Convection in a Layer of Surfactant Solution: Bifurcation Analysis", Physics of Fluids 27, 082107-1—082107- 19 (2015).
  • K. Kanatani and A. Oron, "Nonlinear Effect of Surface Disturbances on Mass Flux and its Modeling in Marangoni Dropwise Condensation", International Journal of Heat and Mass Transfer 94, 419-425 (2016).
  • V. Frumkin and A. Oron, "Liquid Film Flow along a Substrate with an Asymmetric Topography Sustained by the Thermocapillary Effect”, Physics of Fluids 28, 082107-1— 082107-23 (2016).
  • S. Duruk and A. Oron, “Nonlinear Dynamics of a Thin Liquid Film on a Laterally Oscillating Corrugated Surface in the High-frequency Limit”, Physics of Fluids 28, 112101-1— 112101-30 (2016).
  • W. Batson, Y. Agnon, and A. Oron,"Thermocapillary Dynamics of Self-Rewetting Films Driven by Thermal Modulation”, Journal of Fluid Mechanics 819, 562-591 (2017).
  • E. Sterman-Cohen, M. Bestehorn and A. Oron, "Rayleigh-Taylor Instability in Thin Liquid Films Subjected to Harmonic Vibration 29, Physics of Fluids 052105-1— 052105-18 (2017). Editor’s Pick May 2017. Erratum: Physics of Fluids 29, 109901 (2017).
  • V. Frumkin and A. Oron, “Thermocapillary Flow of a Thin Liquid Film in a Confined Two-layer System under a Hydrophobic Plate”, Physical Review Fluids 2, 104002-1— 104002-25 (2017).
  • E. Novbari and A. Oron, “Parametric Excitation of an Axisymmetric Flow of a Thin Liquid Film down a Vertical Fiber”, Acta Mechanica 229, 549-569 (2018).
  • E. Sterman-Cohen, M. Bestehorn and A. Oron, “Ratchet Flow of Thin Liquid Films Induced by a Two-frequency Tangential Forcing”, Physics of Fluids 30, 022101-1–022101-13 (2018).
  • E. Sterman-Cohen, M. Bestehorn and A. Oron, "Driving Mechanisms of Ratchet Flow in Thin Liquid Films Under Tangential Two-Frequency Forcing", Physics of Fluids 31, 072101-1—
    072101-13 (2019). Editor’s Pick July 2019.
  • A. Pototsky, A. Oron, and M. Bestehorn, “Vibration-induced Floatation of a Heavy Liquid Drop Superimposed on a Lighter Liquid Film”, Physics of Fluids 31, 087101-1—
    087101-13 (2019).
  • P. Rosenau and A. Oron, "Flatons: Flat-top Solitons in Extended Gardner-like Equations", Communications in Nonlinear Science and Numerical Simulations 91, 105442-1—105442-11 (2020).
  • R. Patne, Y. Agnon, and A. Oron, "Marangoni Instability in the Linear Jeffreys Fluid with a Deformable Surface”, Physical Review Fluids 5, 084005-1—084005-26 (2020).
  • E. Sterman-Cohen and A. Oron, “Dynamics of Nonisothermal Two-thin-fluid-layer Systems Subjected to Harmonic Tangential Forcing under Rayleigh-Taylor Instability Conditions”, Physics of Fluids 32, 082113-1—082113-21 (2020).
  • R. Patne, Y. Agnon, and A. Oron, "Thermocapillary Instabilities in a Liquid Layer Subjected to an Oblique Temperature Gradient: Effect of a Prescribed Normal Temperature Gradient at the substrate", Physics of Fluids 32, 112109-1—112109-12 (2020).
  • R. Patne, Y. Agnon, and A. Oron, “Thermocapillary Instabilities in a Liquid Layer Subjected to an Oblique Temperature Gradient”, Journal of Fluid Mechanics, 906, A12-1—A12-30 (2021).
  • R. Patne, Y. Agnon, and A. Oron, “Thermocapillary Instability in a Viscoelastic Liquid Layer under an Imposed Oblique Temperature Gradient”, Physics of Fluids 33, 012107-1— 012107- 12 (2021).
  • A. Pototsky, A. Oron, and M. Bestehorn, "Equilibrium Shapes and Floatability of Static and Vertically Vibrated Heavy Liquid Drops on the Surface of a Lighter Fluid", Journal of Fluid Mechanics 922, A31-1—A31-21 (2021).
  • R. Patne, G. Z. Ramon, Y. Agnon, and A. Oron, “Dynamics of a Two-layer Flow With an Interfacial Heat Source/Sink: Viscosity Stratification”, Journal of Fluid Mechanics 934, A43-1—A43-31 (2022).
  • R. Patne and A. Oron, “Buoyancy Instabilities in a Liquid Layer Subjected to an Oblique Temperature Gradient”, Journal of Fluid Mechanics 937, A11-1—A11-35 (2022).
  • P. Rosenau and A. Oron, “Compact Patterns in a Class of Sublinear Gardner Equations”, Communications in Nonlinear Science and Numerical Simulations 110, 106384-1—106384- 16 (2022).
  • M. Bestehorn and A. Oron, “Hopf Instability of a Rayleigh-Taylor Unstable Thin Film Heated from the Gas Side”, European Physical Journal – Special Topics 232, 367-374, (2023). DOI: 10.1140/epjs/s11734-023-00782-z.
  • Y. Zong, A. Oron, H. Liu, and Y. Jiang, “Dynamic and Quasi-Static Droplet Penetration Through Meshes”, Langmuir 39, 9808-9815 (2023).
  • R. Schwartz, A. Oron and Y. Agnon, “The Polar-Cartesian Mild-Slope Equation”, Journal of Fluid Mechanics 970, A4-1—A11-22 (2023).
  • J. Li, A. Oron, and Y. Jiang, “Droplet Jump-off Force on a Superhydrophobic Surface”, Physical Review Fluids 8, 113601-1—113601-10 (2023).

 

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