Lift forces on solid spherical particles in unbounded flows

Hydrodynamic forces on a clean spherical bubble translating in a wall-bounded linear shear flow

“…As expected, low-Re data approach the outer solution (12b) as L u becomes of O(1) (consider especially the series corresponding to Re = 0.6). The transverse force decays more slowly than predicted by this solution when the Reynolds number is of O (1)(2)(3)(4)(5)(6)(7)(8)(9)(10). As discussed in Ref.…”

“…In Ref. [6], the semiempirical expression (15) was proposed to estimate the transverse force for moderate separations and Reynolds numbers, typically L R 2 and Re = O (10). This expression accounts for the variations of the vorticity magnitude at the bubble surface as a function of Re through the empirical function b(Re) given in (16a).…”

“…As discussed in recent reviews [10,11] and illustrated in Fig. 1, the lift force acting on a sphere translating in a wall-bounded shear flow at low-to-moderate Reynolds number arises from two primary mechanisms.…”

Lift and drag forces acting on a particle moving in the presence of slip and shear near a wall

“…DNS: Legendre & Magnaudet (1998) (, red), Cherukat, McLaughlin & Dandy (1999) (, light blue), Kurose & Komori (1999) (, light green). Experiments: Cherukat, McLaughlin & Graham (1994) (+, light grey), empirical fits by Mei (1992) (--------, blue), Shi & Rzehak (2019) (--------, Lime green) and Legendre & Magnaudet (1998) (--------, red).…”

A spectral approach of suspending solid particles in a turbulent stirred vessel

“…Bagchi and Balachandar 3 reported that vortex‐induced lift forces are nearly two orders of magnitude higher than that in a shear flow. Recently, Shi and Rzehak 4 reviewed the topic of lift forces on solid spherical particles due to rotation of particles, vorticity of the fluid, and free and forced vortex flow. An important issue is whether the sphere lags or leads the fluid motion.…”