Rotational Behavior of Porous Elliptical Cylinders in a Simple Shear Flow
Hassan Massoud (NYU), Howard Stone (Princeton University), Michael Shelley (NYU)
Complex Fluids: Suspensions, Emulsions, and Gels
Tue 9:00 - 10:30
Barus-Holley 160
Suspensions of porous particles are widely found in natural and man-made systems. However, their rheological properties remain mainly unexplored. Using theory and numerical simulations, we study the dynamics and rheology of dilute suspensions of porous elliptical cylinders in a simple shear flow in the absence of inertia. We use the Brinkman model to simulate the flow through the porous particle and solve the coupled Stokes-Brinkman equations to calculate the overall flow field and the rotation rate of the freely rotating porous ellipse. Our numerical calculations indicate that the permeability has little to no effect on the rotational dynamics of the particle. This suggests that the Jeffrey’s prediction of the angular velocity of an impermeable ellipse in a simple shear flow is an excellent approximation, if not an exact one, for a porous ellipse as well.