A fascinating class of problems in contemporary fluid mechanics involves the interplay between dynamic boundaries and fluid flows. The study of these problems usually requires accommodating several time and length scales. Moreover, they often involve complex geometries in which mechanical, chemical, and transport phenomena are coupled. The multi-scale, multi-physics nature of such problems makes it extremely challenging to develop comprehensive analytical models for treating these systems. Also, experimental approaches are typically very costly, time-consuming, and require significant effort unless guided by theory or simulations.
In the Complex Fluids and Active Matter Lab, we combine reduced-order models and numerical techniques, including mesoscale and hybrid methods, with simple experiments to study the interaction of flowing fluid with complex (and often dynamically changing) structures. Problems we consider span a wide range of length scales as shown in the figure below. Please visit our publications page for additional information.