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Handbook of Turbomachinery Second Edition Revised - Ventech!

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Figure 18 Aerodynamic and heat transfer results from the vane measurements <strong>of</strong><br />

Joe et al. [43].<br />

Often the key to making these calculations work is the gridding scheme<br />

chosen. Figure 19 shows a comparison between computation and<br />

experiment <strong>of</strong> surface static pressure normalized to total pressure for the<br />

code <strong>of</strong> Rao and Delaney [44] as compared to data taken by Dunn [37]. The<br />

computation is made on overlapping ‘‘O’’ and ‘‘H’’ grids between which<br />

information is shared iteratively as the solution is integrated forward in<br />

time. ‘‘O’’ grids consist <strong>of</strong> lines radiating outward from the airfoil surface,<br />

which intersect with concentric closed loops starting at the airfoil surface<br />

and moving outward. ‘‘H’’ grids are lines in the flow direction intersecting<br />

with lines from one blade surface to the next. This combination <strong>of</strong> grid<br />

schemes gives maximum solution accuracy both near the surface and<br />

throughout the main stream.<br />

In these types <strong>of</strong> codes the boundary conditions must be nonreflecting<br />

in that as the solution proceeds (converges on a periodic unsteady solution),<br />

‘‘waves’’ generated in the solution do not ‘‘bounce <strong>of</strong>f’’ the edges <strong>of</strong> the<br />

solution grid and become artificially ‘‘trapped’’ in the grid.<br />

Figure 19 gives the results <strong>of</strong> the 2D, unsteady, full Navier–Stokes<br />

calculations <strong>of</strong> the surface pressure over a full cord at midspan by Rao and<br />

Copyright © 2003 Marcel Dekker, Inc.

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