Wall Influence on the Sedimentation of Particles

Brenner [61], by using the reflection method, derived the following relation, which allows one to correct the Stokes drag law by taking into account the influence of the walls  

The value of the coefficient k, calculated for various cases, is given in Table 2.2. Note that formula (2.9.12) can be used for 6// C 1, where b is the maximal dimension of the particle. 

A spherical particle moving parallel to the wall is considered in [323], It is assumed that the gap h between the particle boundary and the wall is small 

A similar asymptotic expansion for the force that acts on a spherical bubble moving parallel to a solid plane was obtained in [526]  

The problem on finite deformations arising in the motion of a solid sphere toward a free interface and in the motion of a deformed drop to the solid plane wall, which is vital for chemical industry, was studied numerically in [17, 517], 

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