Computer simulations of domain growth under steady shear flow

Computer simulations of domain growth under shear flow in binary fluids are performed by means of the cell dynamic approach in two dimensions. The hydrodynamic interaction is entirely ignored in the present simulations. The time-evolution of both a single circular domain and randomly distributed domains undergoing phase separation is investigated by changing the shear rate S. We observe deformation and burst of the single domain and tearing and recombination of the interconnected domains. For the random domains with the volume fractions φ=0.5 and φ=0.3, the shear viscosity Δη and the normal stress ΔN1 are obtained as a function of the shear strain γ. These results are compared with our theoretical consideration. The anisotropic scattering function is also obtained.