Personal information: Rodolphe Chabreyrie Mailing Address: Office: 001 412 268-4406 |
![]() |
Education:
• Ph.D., Mechanical Engineering
August 2006 to May 2010
Advisor: Professor Nadine Aubry
Carnegie Mellon University
Pittsburgh, PA 15213
USA
• M.S., Physique Théorique et Mathématique, Physique des Particules et Astroparticules
(Theoretical and Mathematical Physics, Particle and Astroparticle Physics)
May 2005
Centre de Physique Théorique
Campus de Luminy, Case 907
13288 Marseille cedex 9
France
• B.S., Physics
May 2003
Université de la Méditerranée, Aix-Marseille II
13288 Marseille
France
Research interest:
My work deals with the enhancing and control of chaotic advection or chaotic mixing within liquid droplets. We study Stokes flows corresponding to a translating spherical liquid droplet which we perturb by imposing a time-periodic rigid-body rotation. Using the tools of dynamical systems, we show that the rotation not only is able to create one or more three-dimensional chaotic mixing regions, in which mixing occurs through the stretching and folding of material lines, but also offers the possibility of controlling both the size and the location of chaotic mixing within the drop. Such a control is achieved through an appropriate tuning of the three parameters which characterize the rotation, i.e., its amplitude, frequency and orientation, and the use of resonances between the natural frequencies of the
system and those of the external forcing.
My theoretical work should be useful in a variety of applications including digital microfluidic devices which use microscopic discrete fluid volumes (droplets) as microreactors.
Keywords: Chaotic mixing, Resonance strategy, Control, 3D unsteady flow, digital microfluidics
Publications:
• Chabreyrie R, Vainchtein D, Chandre C, Singh P, Aubry N, “Tailored mixing inside a translating drop,” Physical Review E 77, 036314, (2008). (Selected for the April 7, 2008 issue of Virtual Journal of Nanoscale Science Technology).
• Chabreyrie R, Vainchtein D, Chandre C, Singh P, Aubry N, “Tuning mixing within a droplet for digital microfluidics,” Mechanics Research Communications, In Press, (2008).
• Chabreyrie R, Vainchtein D, Chandre C, Singh P, Aubry N, “Controlling mixing inside a droplet by time dependent rigid-body rotation,” Proceedings of IMECE 2008, 68026.
Conference Presentations:
• “Mixing within a drop immersed in a fluid and subjected to translation and unsteady rotation,” 59th Annual Meeting of the APS Division of Fluid Dynamics, Tampa, FL, USA, November 2006.
• “Tailoring chaotic mixing within a translating droplet by oscillatory rotation,” 60th Annual Meeting of the Division of Fluid Dynamics, Salt Lake City, UT, USA, November 2007.
• “Robust Tailoring chaotic mixing within a translating droplet by oscillatory rotation and its Possible Experimental Application,” Journées de Dynamique Non Linéaire, Marseille, France, May 2008.
• “Tailoring chaotic mixing within a translating droplet by oscillatory rotation,” International Congress of Theoretical and Applied Mechanics, Adelaide, South Australia, Australia, August 2008.
• “Controlling Mixing Inside a Droplet by Time Dependent Rigid-body Rotation ,” American Society of Mechanical Engineering International Mechanical Engineering Congress & Exposition, Boston, MA, USA, October 2008.
Conference Posters:
• “Controlled Mixing inside a Droplet Through Resonances Strategy,” Chaos, Complexity and Transport: Theory and Applications, |
Marseille, France, June 2007. |
• “A Possible Way to Create Controlled Mixing Inside a Droplet,” Bennett conference, Carnegie Mellon University, Mechanical Engineering Department, Pittsburgh, PA, USA, April 2008.
(Also Organizer)
Teaching and Advising:
• Spring and Fall 2008: Fundamentals of Mechanical Engineering (24-101).
Teaching Assistant
Research Advising:
Undergraduate
• Justin Pratt (CMU Mechanical Engineering Class of 2011), Construction of a Periodic Electromagnetic Forcing, Fall 2008 (24-391).
• Javier Novales (CMU Electrical and Computer Engineering Class of 2011), Construction of a Measuring System for Angular Displacement of a Beam, Fall 2008.
• Nathaniel Zaharia (CMU Mechanical Engineering Class of 2009), Electrohydrodynamic instabilities in microchannels, Spring and Fall 2008 (24-391, 24-392).
Masters
• Roshan Ravinda (CMU Mechanical Engineering Class of 2010), Design and Construction of a Chaotic Beam, Fall 2008 (24-794).
Reviewer for:
Microfluidics and Nanofluidics, Springer Berlin / Heidelberg
Links & Collaborators:
![]() |
Prof. K. Uguz, Chemical Engineering Department, Bogaziçi University, Istanbul, Turkey. |
|---|---|
![]() |
Prof. C. Chandre, Centre de Physique Théorique , Marseille, France. |
| Prof. P. Singh, Mechanical Engineering Department, New Jersey Institute of Technology, Newark, New Jersey,USA |