Drag and lift forces on a spherical particle moving on a wall in a shear flow at finite Re

Abstract

Recent research (Zeng, PhD thesis, 2007; Zeng et al., Phys. Fluids, vol. 21, 2009, art. no. 033302) has shown that both the shear-and wall-induced lift contributions on a particle sharply increase as the gap between the wall and the particle is decreased. Explicit expressions that are valid over a range of finite Re were obtained for the drag and lift forces in the limiting cases of a stationary particle in wall-bounded linear flow and of a particle translating parallel to a wall in a quiescent ambient. Here we consider the more general case of a translating and rotating particle in a wall-bounded linear shear flow where shear, translational and rotational effects superpose. We have considered a modest Reynolds number range of 1-100. Direct numerical simulations using immersed boundary method were performed to systematically figure out the characteristics of hydrodynamic forces on a finite-sized particle moving while almost in contact with a wall. We present composite correlation for the hydrodynamic forces which are in agreement with all the available low-Reynolds-number theories.

Lift and Drag Forces for a Sphere on a Flat Wall in Non-Newtonian Shear Flow

“…The results of our simulation are in a good agreement with results presented in [3,4] for Newtonian fluids. When the particle translational velocity Vp is low, the drag force coefficient Cd in non-Newtonian fluid is lower than in Newtonian one (Fig.…”

“…The distance between a sphere and the boundaries of the simulation volume was equal to 25 sphere diameters. To avoid numerical issues, a small gap d/200 between the sphere and the wall was presumed [2,3].…”

“…In the article [3] the authors showed the existence of steady state velocity Vpss when the drag force Cd is zero (free motion). The velocity Vpss increases with the Reynolds number.…”

“…In the latter scenario, the drag force and torque increases logarithmically with decreasing wall distance. Sphere motion on the wall was investigated numerically by Lee et al [3,4] using Navier-Stokes equations. They considered perfect rolling and free motion with creeping for a Newtonian fluid.…”

Effects of Nonuniform Outflow and Buoyancy on Drag Coefficient Acting on a Spherical Particle

“…For example, Haider and Levenspiel proposed equations for the drag coefficient of spherical and nonspherical particles [9], and numerical simulations have been conducted to investigate the drag forces acting on a nonspherical particle [10] [11]. Lee and Balachandar estimated drag forces on a translating and rotating particle in a wall-bounded linear shear flow [12], and drag forces on a particle with a uniform outflow from the surface were studied by Kurose et al [13]. Furthermore, Katoshevski et al experimen-tally investigated the relation between particle temperature and drag forces; the results showed that the drag force acting on a heated particle increased due to free convection around the particle [14].…”