Projects

  • Thermal convection in nano-fluids.

  • Micro-scale thermal convection and rarefied gases.

  • Mathematical modeling and numerical simulation of moving-boundary problems as applied to materials processes.

  • Nonisothermal free-surface flow of viscoelastic fluids in relation to conventional injection molding, coating, calendering and extrusion.

  • Interfacial phenomena and droplet dispersion in extruder mixers.

  • Multiphase flow in co-injection molding, co-extrusion and gas-assisted injection molding.

  • Non-isothermal flow in polymer processing.

  • Hydrodynamic instability of non-Newtonian fluids.

  • Development of solution methods for highly nonlinear stability analysis of shear-thinning and viscoelastic fluids.

  • Bifurcation phenomena and nonlinear stability analysis. Interplay between inertia and non-Newtonian effects in rotating (Taylor-Couette) flow and (Rayleigh-Benard) thermal convection.

  • Channel and tube flow nonlinear analysis with special emphasis on shark skin and melt fracture phenomena.