Ordering transition and structural evolution under shear in Brownian suspensions

Shear-induced ordering is known to occur in sheared suspensions. The range of parameters for which this order occurs is probed here by simulation of monodisperse Brownian hard-sphere suspensions using accelerated Stokesian Dynamics. The simulations are performed for particle volume fractions of 0.47≤ϕ≤0.57 at Peclet numbers of 1≤Pe=6πηγa3/kT≤104, where η is the suspending fluid viscosity, γ is the imposed shear rate, a is the sphere radius, and kT is the thermal energy. At Pe≥10, when particle volume fraction is above ϕ≈0.50, the suspensions undergo ordering over extended periods at the onset of flow, with remarkable reduction in the shear viscosity and self-diffusivity. The thixotropic response is a result of microstructural ordering, which is characterized both by the real space pair distribution function and its Fourier transform, the static structure factor. Both show that the particles tend to flow in chains with hexagonal packing in the plane normal to the flow. An order parameter is formulated to...