Rotational microrheology of finite multi-layered viscoelastic media

Theoretical modeling for the dynamic rotational motion of a rigid spherical particle in a multi-layered viscoelastic medium is developed in the context of linear responsetheory. The viscoelastic medium is modeled as a twocomponent fluid incorporating an elastic solid and a viscous fluid coupled through viscous friction. No-slip boundary conditions are assumed at the particle surface. An exact analytical solution is obtained for the oscillatory rotational response. It is found the fluid inertia plays an important role at higher frequencies, where the finiteness of the viscoelastic layer modulates the dependence of the fluid inertia. However, at frequencies → ۰, compressibility modes do not exist, and only shear modes are activated by the rotational motion of the particle.

کلیدواژه ها:

Microrheology ، rotational ، viscoelasticity ، multi-layered