Axisymmetric slow viscous flow due to the motion of a circular disk near a plane is studied on the basis of the Stokes approximations.
The problem is reduced to a mixed type boundary value problem determining two harmonic functions from which the flow field can be expressed formally. From the formal expressions, stream function and the force acting on a disk are calculated.
It is shown that the force acting on a disk is $F=-16 μ{U_o} \frac{1 + 3.26476h^{-1} + 3.117620h^{-2} + 2.446591h^{-3}+ 0.680302h^{-4}}{1 + 2.30983h^{-1}}$ for all values of h (here h denotes the ratio of the distance between the disk and the plane to the radius of the disk).
