Shahriar Afkhami, Ph.D.

Positions

Visiting Assistant Professor, Department of Mathematics, Virginia Polytechnic Institute and State University, 2008-present.

Post-Doctoral Associate, Department of Mathematics, Virginia Polytechnic Institute and State University, 2007-2008. Advisors: Professor Yuriko Renardy and Professor Michael Renardy

Visiting Ph.D. Student, Laboratoire de Modélisation en Mécanique, Université Pierre et Marie Curie, Paris, Sept.-Nov. 2006. Advisor: Professor Stéphane Zaleski

Research Assistant, Department of Mechanical and Industrial Engineering, University of Toronto, 2003-2007.

Education

Ph.D., University of Toronto

Department of Mechanical and Industrial Engineering

Advisor: Professor Markus Bussmann

Ph.D. Thesis

• Applying Dynamic Contact Angles to A Three-Dimensional VOF Model (download)

Research Interests

• Electrowetting on Dielectric
• Numerical Simulation of Ferro-droplets
• Breakup of Viscoelastic Drops
• Adaptive Modelling of Droplet Impact
• Volume-of-Fluid Based Approach for Simulating Moving Contact Lines
• Height Functions for Modelling Dynamic Contact Angles
• Numerical Modelling of Sliding Droplets

Teaching

• Summer 2008: MATH 2214 Introduction to Differential Equations
• Fall 2008: MATH 2214 Introduction to Differential Equations

Research Support

• National Computational Science Alliance, “Computational investigation of viscoelastic liquid-liquid breakup”, Principal Investigator: S. Afkhami. 30,000 SU hours, 2007-2008. TG-DMS080012
• National Computational Science Alliance, (LRAC) Award, “Two-fluid dynamics in polymer processing, ferrohydrodynamics and electrowetting”, Principal Investigator: Yuriko Renardy, co-Principal Investigator: S. Afkhami. 600,000 SU hours, 2008-2010. TG-DMS090008

Publications

• S. Afkhami, Y. Renardy, M. Renardy, A. Tyler, T. G. St. Pierre, and J. S. Riffle, “Determination of interfacial tension for a PDMS based ferrofluid droplet suspended in glycerol under uniform magnetic fields”, 2009.
• R. Cardinaels, P. Moldenaers, S. Afkhami, and Y. Renardy, “Sheared droplet dynamics in confined systems with one viscoelastic component: Comparison of experimental and numerical results”, 2009.
• S. Afkhami and M. Bussmann, “Height Functions for Applying Contact Angles to 3D VOF Simulations”, International Journal for Numerical Methods in Fluids, 2008, doi:10.1002/fld.1974.
• S. Afkhami, P. Yue, and Y. Renardy, “A Comparison of Viscoelastic Stress Wakes for 2D and 3D Newtonian Drop Deformation in a Viscoelastic Matrix under Shear”, Physics of Fluids, Volume 21, Issue 7, 2009, 072106. (pdf)
• S. Afkhami, S. Zaleski, and M. Bussmann “A Mesh-Dependent Model for Applying Dynamic Contact Angles to VOF Simulations”, Journal of Computational Physics, Volume 228, Issue 15, 2009, Pages: 5370-5389. doi:10.1016/j.jcp.2009.04.027.
• K. Verhulst, R. Cardinaels, P. Moldenaers, S. Afkhami, and Y. Renardy, “Influence of Viscoelasticity on Drop Deformation and Orientation in Shear Flow. Part 2: Dynamics”, Journal of Non-Newtonian Fluid Mechanics, Volume 156, 2009, Pages: 44-57. doi:10.1016/j.jnnfm.2008.10.003.
• K. Verhulst, R. Cardinaels, P. Moldenaers, Y. Renardy, and S. Afkhami, “Influence of Viscoelasticity on Drop Deformation and Orientation in Shear Flow. Part 1: Stationary State”, Journal of Non-Newtonian Fluid Mechanics, Volume 156, 2009, Pages: 29-43. doi:10.1016/j.jnnfm.2008.06.007.
• S. Afkhami, Y. Renardy, M. Renardy, J. S. Riffle, and T. G. St. Pierre, “Field-Induced Motion of Ferrofluid Droplets Through Immiscible Viscous Media”, Journal of Fluid Mechanics, Volume 610, 2008, Pages: 363-380. (pdf)
• S. Afkhami and M. Bussmann, “Height Functions for Applying Contact Angles to 2D VOF Simulations”, International Journal for Numerical Methods in Fluids, Volume 57, Issue 4, 2008, Pages: 453-472. (pdf)

Proceedings

• K. Verhulst, R. Cardinaels, P. Moldenaers, Y. Renardy, and S. Afkhami, “Numerical Investigation of the Influence of Viscoelasticity on Drop Deformation in Shear”, in Proceedings of the XVth International Congress on Rheology, American Institute of Physics, August 3-8, 2008, Monterey, California.
• S. Afkhami, Y. Renardy, M. Renardy, J. S. Riffle, and T. G. St. Pierre, “Numerical Modeling of Ferrofluid Droplets in Magnetic Fields”, in Proceedings of the XVth International Congress on Rheology, American Institute of Physics, August 3-8, 2008, Monterey, California.
• S. Zaleski, S. Afkhami, and M. Bussmann “A Contact Angle Boundary Condition Derived From Fundamental Hydrodynamics, for the Simulation of Interfacial Flows”, in Proceedings of the 7th European Coating Symposium, September 12-14, 2007, University of Paris 7, Paris, France.
• S. Afkhami and M. Bussmann, “A Three-Dimensional Model of Droplet Impact Onto an Incline”, in Proceedings of the Euromech Colloquium 479, Numerical Simulation of Multiphase Flow with Deformable Interfaces, August 14-16, 2006, The Pier, Scheveningen, The Netherlands.
• S. Afkhami and M. Bussmann, “Height Function-Based Contact Angles for VOF Simulations of Contact Line Phenomena, in Proceedings of the 5th International Conference on Scientific Computing and Applications, May 18-21, 2006, Banff, Alberta, Canada.
• S. Afkhami and M. Bussmann, “Drop Impact Simulation with a Velocity-Dependent Contact Angle”, in Proceedings of the 19th Annual ILASS-Americas Conference, Institute for Liquid Atomization and Spray Systems, May 23-26, 2006.
• S. Afkhami and M. Bussmann, “Adaptive Modelling Applied to Impacting Droplets”, in Proceedings of the 20th Canadian Congress of Applied Mechanics, May 30 to June 2, 2005, McGill University, Montreal.

Conferences

• Y. Renardy, S. Afkhami, S. J. Riffle, T. St. Pierre, and M. Renardy, “Field-induced motion of a ferrofluid droplet: a testbed for treatment of retinal detachment”, International Conference on Mathematical Biology and Annual Meeting of The Society for Mathematical Biology, July 27-30, 2009, University of British Columbia, Vancouver, Canada.
• S. Afkhami, Y. Renardy, M. Renardy, S. J. Riffle, and T. St. Pierre, “Field-Induced Motion of Ferrofluid Droplets Through Immiscible Viscous Media”, Mathematical Modeling in the Medical Sciences, May 18-21, 2009, Vanderbilt University, Department of Mathematics, Nashville, Tennessee.
• S. Afkhami, P. Yue, and Y. Renardy, “Newtonian drop deformation in a viscoelastic matrix under shear”, American Physical Society March Meeting, March 16-20, 2009, Pittsburgh, Pennsylvania.
• S. Zaleski, S. Afkhami, and M. Bussmann, “A Mesh-Dependent Model For Applying Dynamic Contact Angles To VOF Simulations”, the DFD08 Meeting of the American Physical Society, November 23-25, 2008, San Antonio, Texas.
• S. Afkhami, “VOF-Based Height Function Method for 3D Calculation of Contact Line Phenomena”, the DFD08 Meeting of the American Physical Society, November 23-25, 2008, San Antonio, Texas.
• S. Afkhami, Y. Renardy, M. Renardy, S.J. Riffle, and T. St. Pierre, “Field-Induced Motion of Ferrofluid Droplets Through Immiscible Viscous Media”, the DFD08 Meeting of the American Physical Society, November 23-25, 2008, San Antonio, Texas.
• Y. Renardy, K. Verhulst, R. Cardinaels, P. Moldenaers, and S. Afkhami, “Influence of Viscoelasticity on Drop Deformation in Shear”, the DFD08 Meeting of the American Physical Society, November 23-25, 2008, San Antonio, Texas.
• S. Afkhami, Y. Renardy, M. Renardy, J. S. Riffle, and T. G. St. Pierre, “Numerical Modeling of Ferrofluid Droplets in Magnetic Fields”, the XVth International Congress on Rheology, American Institute of Physics, August 3-8, 2008, Monterey, California.
• S. Afkhami, Y. Renardy, and M. Renardy, “Simulations of the Dynamics of Ferrofluid Droplets under an Applied Magnetic Field”, The Mechanics Conference, May 29-30, 2008, Virginia Tech.
• S. Afkhami and M. Bussmann, “A Numerical Dynamic Contact Angle Model Applied to Droplets Sliding Down An Incline”, the DFD07 Meeting of The American Physical Society, November 18-20, 2007, Salt Lake City, Utah.
• M. Bussmann, S. Afkhami, and S. Zaleski, “A Mesh-Dependent Approach to Imposing A Contact Angle as Boundary Condition”, Two-phase incompressible flows: modeling aspects and methods for numerical simulation, June 25-27, 2007, RWTH, Aachen, Germany.
• M. Bussmann and S. Afkhami, “Applying Contact Angles to 3D VOF Simulations of Drop Impact Onto an Inclined Surface”, the DFD05 Meeting of The American Physical Society, November 20-22, 2005, Chicago, IL.

Invited Colloquia and Seminars

• “Numerical Modeling of interfacial dynamics in Flowing complex fluids ”, School of Engineering, University of British Columbia Okanagan, Kelowna, April 17, 2009.
• “Computational investigation of interfacial dynamics in complex fluids ”, Department of Mathematical Sciences, Montclair State University, Montclair, February 27, 2009.
• “Numerical modeling of magnetic liquids”, ADINA R&D, Boston, February 13, 2009.
• “Direct numerical simulations of interfacial flows”, Department of Mathematics, Virginia Tech, Blacksburg, October 27, 2008.
• “Numerical modeling of ferro-droplets”, Department of Mathematical Sciences, Montclair State University, Montclair, May 9, 2008.
• “Numerical simulations of dynamic contact lines”, Department of Mechanical Engineering, Virginia Tech, Blacksburg, April 7, 2008.
• “Singularities at dynamic contact lines; mathematical and computational aspects”, Department of Mathematics, Virginia Tech, Blacksburg, March 28, 2008.
• “A numerical dynamic contact angle model applied to droplets sliding down an incline”, Fall Fluid Mechanics Symposium, Virginia Tech, Blacksburg, November 9, 2007.
• “Numerical simulations with Gerris flow solver”, Laboratoire de Modélisation en Mécanique, Université Pierre et Marie Curie, Paris, October 20, 2006.
• “A height function-based method for the simulation of interfacial flows with dynamic contact lines”, Second SCAT European Workshop, Mathematical Modelling and Numerical Challenges in Computational Science, September 25-29, 2006, University of Paris VI, Paris, France.
• “Adaptive three-dimensional modelling of a splashing drop”, Fluid Mechanics Seminar, Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, September 24, 2004.

Professional Organizations

• Society of Rheology
• American Physical Society
• Institute for Liquid Atomization and Spray System
• European Mechanics Society

Links

• Gerris Flow Solver
• Computational Fluid Dynamics Laboratory, University of Toronto
• Interdisciplinary Center for Applied Mathematics, Virginia Tech
• Institute for Critical Technology and applied Science, Virginia Tech