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The velocity jump AW across the blade itself further can be written in the form (see Ref.1, Appendix A) 27rflxVa 27rVa*rVO Aw-BI2-BIv Va-rVe) Substituting for AW in Eq.(2.29) from Eq.(2.30), we obtain H+ - = -G[W *VrV] (2.30) (2.31) where we have used the condition of vanishing normal velocity at the blade surface (i.e., Wbl *Va = 0). The above condition has to be satisfied on both the main and splitter blades so that at the trailing edges we have Wbi *VrVo =0 (2.32) This equation serves as a useful supplement to the Kutta condition in finite wing theory. To ensure that Eq.(2.32) is satisfied, we can simply impose a = 0 at the trailing edgesince i is zero at the leading and trailing edge in a free vortex design (i.e., rVe is constant along the leading edge and trailing edge). Because of the assumptions adopted in Section 2.1, the requirement of no normal velocity on the hub and the shroud surfaces imposes an additional constraint on the rVe distribution: a(rO) an =n0 (2.33) along the hub and shroud (see Ref. 4, Ref.12, Ref.13, and Ref.14). This results in an additional boundary condition for the blade shape, as noted by Yang (Ref.1, chap.4), which is af S0 at the intersection of the blade with the walls. (2.34)PDF Image | Radial Inflow Splitter Blades in Three-Dimensional
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