B.Eng, M.A.Sc., (University of Victoria), Ph.D., (University of California, San Diego), Postdoctoral Fellowship (University of California, Santa Barbara)
My research involves using the methods of applied mathematics, typically asymptotic analysis or numerical methods, to solve problems in science and engineering, often in collaboration with or inspired by experimentalists. My current research interests include:
- Theoretical Fluid Mechanics
- Complex Fluids
- Cell Biomechanics
- Capillary Phenomena
- Applied Mathematics
Current Research Work
- Biological Fluid Mechanics: A bulk of my work has been on the mechanics of bio-locomotion and cell-cell interactions, studying how cells swim, how they can deform one another passively via fluid-structure interactions when in close proximity and how this affects collective motility. I am also interested in how active particles, such as swimming cells, affect the mechanical properties of fluids.
- Capillary Phenomena: Even though the equations governing capillary phenomena can be quite simple, the behaviour of interfacial systems can be both rich and mysterious. My recent work in this area explored an experimentally observed shape instability of squeezed droplets. In particular it was shown that if the droplet is sufficiently compressed at the top by a surface, it may develop a buckling instability at a critical compression.
- Complex Fluids: Determining how to properly capture non-Newtonian effects and how they affect the behaviour of fluids is important in many flows from cells to large engineering processes and an active area of research.
- G.J. Elfring, G. Goyal, “The effect of gait on swimming in viscoelastic fluids,” Journal of Non-Newtonian Fluid Mechanics, vol. 234, pp. 8-14, 2016.
- Nasouri, G.J. Elfring, “Hydrodynamic interactions of cilia on a spherical body,” Physical Review E, vol. 93, p. 033111, 2016.
- G.J. Elfring, L.G. Leal, T.M. Squires, “Surface viscosity and Marangoni stresses at surfactant laden interfaces,” Journal of Fluid Mechanics, vol. 792, pp. 712-739, 2016.
- Z. Peng, O.S. Pak, G.J. Elfring, “Characteristics of undulatory locomotion in granular media,” Physics of Fluids, vol. 28, p. 031901, 2016.
- C. Datt, L. Zhu, G.J. Elfring, O.S. Pak, “Squirming through shear-thinning fluids,” Journal of Fluid Mechanics Rapids, vol. 784, pp. R1, 2015.
- G.J. Elfring, “A note on the reciprocal theorem for the swimming of simple bodies,” Physics of Fluids, vol. 27, pp. 023101, 2015.
- G. J. Elfring, E. Lauga, “Theory of locomotion in complex fluids,” Complex Fluids in Biological Systems, Springer, pp. 285–319, 2014.
- G. J. Elfring and E. Lauga, “Buckling instability of squeezed droplets,” Physics of Fluids, vol. 24, no. 7, p. 072102, 2012.
- G. J. Elfring and E. Lauga, “Passive hydrodynamic synchronization of two-dimensional swimming cells,” Physics of Fluids, vol. 23, no. 1, p. 011902, 2011.
- G. J. Elfring and E. Lauga, “Synchronization of flexible sheets,” Journal of Fluid Mechanics, vol. 674, pp. 163–173, 2011.
- M. Sauzade, G. J. Elfring, and E. Lauga, “Taylor’s swimming sheet: Analysis and improvement of the perturbation series,” Physica D: Nonlinear Phenomena, vol. 240, no. 20, pp. 1567–1573, 2011.
- G. J. Elfring, O. S. Pak, and E. Lauga, “Two-dimensional flagellar synchronization in viscoelastic fluids,” Journal of Fluid Mechanics, vol. 646, pp. 505 515, 2010.
- G. J. Elfring, and E. Lauga, “Synchronization of swimming microorganisms” Physical Review Letters, vol. 103, pp. 088101, 2009.