Hydrodynamic Flow Fields with Axial Symmetry - Towards Autonomous Soft Matter Systems - page 123

function and the velocity as given in Eq. B.2 and is given by Eq. 6.6 . For an arbitrary
distribution of surface slip v s ( r 2 term for the corresponding

flow field exists in general. This term vanishes by symmetry if the surface slip is a
symmetric function v s (θ) =

= ) =

v s (θ)

/

r a ,a1

v s (π − θ) such as is the case for v s ∼ sin (θ) described

by Eq. 6.5 .

Reference

1. J. Happel, H. Brenner, Low Reynolds Number Hydrodynamics: With Special Applications to
Particulate Media , 1st edn. (Springer, Berlin, 1973)