  In this article we derive the explicit solution of 2-D Stokes system in
exterior of the disc with no-slip condition on inner boundary and given
velocity $\mathbf{v}_\infty$ at infinity. It turned out it is the first
application of the associated Weber-Orr transform to mathematical physics in
comparison to classical Weber-Orr transform which is used in many researches.
From no-slip condition for velocity field we will obtain Robin-type boundary
condition for vorticity. Then the initial-boundary value problem for vorticity
will be solved with help of the associated Weber-Orr transform. Also the
explicit formula of Biot-Savart Law in polar coordinates will be given.
