solution to EOF in wavy channel and develop a general analytical method to solve flow in
channels of any periodic geometry.
As pointed previously, the current method is capable of solving a Stokes flow, which is
governed by a linear ordinary differential equation and prescribed by boundary conditions
defined on sinusoidal walls. And it is well known that any periodic geometry can be composed
by multiple sinusoidal according to Fourier theorem. Hence the solution to the flow in channel
of periodic shape could be obtained by solving flow with each sinusoidal boundary and
superposing all the individual solution together.