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* along the hub and shroud: b is constant (no flow normal to the wall) The boundary conditions for Eq.(2.26) for the (periodic) velocity potential are: * along the inflow section: aLL = 0 an 0 (but q,n=at a point (e.g. at the hub) is taken to be zero so that the solution becomes unique) * along the hub and shroud: 0 = E = rVi e-nBf (no flow normal to the wall) The governing equation for artificial density is Eq.(2.19), and is a first order con- vective equation so that an appropriate initial condition is: * along the inflow section: Pa = T is specified. The initial condition for the blade camber distribution f, which is governed by Eq.(2.28), is * fj = fat,j(r.t,zt) where ft,j must be a line from hub to shroud (not coinciding with any of the streamlines) This initial condition is referred to as the blade stacking condition in Ref. 1. Besides those boundary conditions which arise from the mathematical nature of the governing equations, we have other conditions which arises from the physical nature of the problem. One of this condition is the Kutta condition, which requires smooth flow at a cusp trailing edge. As a consequence, in a subsonic flow, the pressure must be continuous there. In a homenthalpic flow, this translates to the requirement that H + = H- at the trailing edge. Uniformity in rothalpy (see Eq.(2.3)) enables us to write * along the outflow section: +111 H-H-=2(W-)2 (W+)2=2(-+*)x( -1W)i=- 222 * A' (2.29)PDF Image | Radial Inflow Splitter Blades in Three-Dimensional
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