This paper considers the two-dimensional slow viscous flow due to two finite hinged plates rotating oppositely with the same angular velocity Ω, respectively, based on Stokes' approximation.
A formal expression for flow is obtained by solving a pair of simultaneous Wiener-Hopf equations. A uniform velocity is induced at far field and is determined to make the force on the plates vanish. Streamlines are determined as a function of the intersection angle 2α of the plates. Near the corner, asymptotic behavior of stream function becomes entirely different as the angle exceeds a critical angle about 257.45˚.