Enskog kinetic theory of rheology for a moderately dense inertial suspension

Two-Step Discontinuous Shear Thickening of Dilute Inertial Suspensions Having Soft-Core Potential

“…We also discuss the realization of the setup of this study. As mentioned in Ref., 9) the situation described by Eq. ( 38) is realized when the drag force from the background fluid is balanced with the gravity.…”

“…Second, we have only considered the linear term of the shear rate in our treatment, which is par-tially related to the first reason. Takada et al 9) have recently confirmed that the linear theory cannot capture especially in the vicinity of the S-shape for the hard-core system, and the expansion with respect to the shear rate is needed even when the density is dilute. This should be important for our system, but this is a future work because the calculation of the collisional contribution is needed.…”

“…The denser systems are also studied using the Enskog theory, where the size of the particles should be considered. 3) Some papers have studied the rheology of the inertial suspension of hard-sphere particles, which is a kind of an idealistic setup of aerosols, in terms of the kinetic theory, [4][5][6][7][8][9] where the theory can predict discontinuous shear thickening (DST) for dilute situations. Here, the origin of a DST-like process in this system is a bifurcation of quenched-ignited transition, 4) and this is different from denser systems, which is the transition between liquid-like and solid-like phases.…”