Interface and contact line motion in a two phase fluid under shear flow

The steady state interfacial configuration of a two phase fluid under steady shear is studied using a coarse grain structure. Interfacial slip at the contact line is due to dissipative relaxation even with no-slip boundary conditions on the fluid velocity. It is shown that for the passive interfaces, the steady state interfacial configuration satisfies a scaling form involving the ratio between characteristic length scale and the width of the fluid layer.