The Technion Complex Fluids Lab studies fluid mechanics of non-Newtonian fluids and complex flow and transport phenomena at the microscale through a combination of theoretical reduced-order modeling, numerical simulations, and comparison to experiments. In this talk, I will present my group’s interdisciplinary research that combines non-Newtonian fluid mechanics, rheology, mass transfer, electrokinetics, and elasticity to advance our understanding of how the interplay of these phenomena influences the hydrodynamics in both rigid and soft configurations.