Flow Past Nonspherical Particles

Other results about shears flow past spherical particles. The motion of a freely floating solid spherical particle in a simple shear flow was considered in [100]. In this case, all the coefficients Gij except for Gn in the boundary conditions (2.5.1) are zero. The fact that the shear tensor has an antisymmetric component (see Section 1.1) results in the rotation of the particle because of the fluid no-slip condition on the particle boundary. The corresponding three-dimensional hydrodynamic problem was solved in the Stokes approximation. It was discovered that near the particle there is an area in which all streamlines are closed and outside this area, all streamlines are nonclosed. 

The motion of a free spherical particle in an arbitrary plane shear flow was studied in [342, 343]. 

Arbitrary three-dimensional straining shear flows past a porous particle were considered in [524], The flow outside the particle was described by using the Stokes equations (2.1.1). It was assumed that the percolation of the outer liquid into the particle obeys Darcy s law (2.2.24). The boundary conditions (2.5.1) remote from the particles and the conditions at the boundary of the particle described in Section 2.2 were satisfied. An exact closed solution for the fluid velocities and pressure inside and outside the porous particle was obtained. 

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Flow Past Nonspherical Particles at Higher Reynolds Numbers... 

Grashof number for mass transfer L is a characteristic dimension, i.e., the diameter of a spherical particle, or the equivalent diameter of a nonspherical particle, etc. v is the kinematic viscosity D is the binary diffusion coefficient U is the linear velocity of the gas stream flowing past the particle (measured outside the boundary layer surrounding the particle) g is the acceleration due to gravity is a characteristic concentration difference, and... 

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