The Steady Two-dimensional Flow of Viscous Incompressible Fluid Past an Elliptic Valve of Zero Angle of Attack Placed in a Rectilinear Channel : As a Model of a Flow Past a Fully Open Butterfly Valve

Abstract

We studied the steady two-dimensional flow of a viscous incompressibe fluid past an elliptic valve of zero angle of attack placed in a rectilinear channel. We apply generalized curvilinear coordinates, by which the channel walls and the valve surface are mapped onto corresponding coordinate lines, to the solution of the stream function-vorticity formulation of the Navier-Stokes equations. The ADI and the Euler explicit method of solution are applied to solve the transformed basic equations. Flow patterns, pressure distributions and drag coefficients are obtained for several values of Reynolds number between 0 and 40.