Abstract
Two-dimensional slow viscous flow through a converging nozzle composed of two semi-infinite plates is investigated on the basis of Stokes approximation. The flow is caused by a pressure difference between inner and outer region of the nozzle of an arbitrary angle. A formal expression for the flow is obtained by solving a pair of simultaneous Wiener-Hopf equations. Streamlines and stress distributions on each plate are determined by evaluating the formal expression. The relation between the discharge through the nozzle and pressure difference is given as a function of the angle of nozzle. The asymptotic behaviors of the flow at far field are also discussed.
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