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The suction and pressure surfaces are now given by. xp/c = xc/c + 12 t/c yp/c = yc/c − 12 t/c xs/c = xc/c − 12 t/c ys/c = yc/c + 12 t/c tanχ = ∂(yc/c) sin χ cos χ sin χ cos χ (A.79) (A.80) (A.81) (A.82) (A.83) (A.84) ∂(xc/c) The angle χ is calculated using a second order finite difference approximation. χi = yc,i+1/c − yc,i−1/c xc,i+1/c − xc,i−1/c It is possible to use a second order approximation and calculate at all points except the first and last point since they are calculated separately according to. χ4 =tan χ6 =tan −1 −1 4b/c 4a/c−1 (A.85) x′/c = (x/c−1)cosδ6 + y/csinδ6 y′/c = r6/c − (x/c−1)sinδ6 + y/ccosδ6 r6/c = s6/cNN 2π r = (x′/c)2 + (y′/c)2 tanθ = x′/c y′/c (A.87) (A.88) (A.89) (A.90) (A.91) 4b/c 3−4a/c (A.86) The normalized blade is now created, however, it is described in the Cartesian coordinate system. To direct the blade towards the impeller it has to be rotated. The rotation is accomplished by a simple transformation according to. A second blade is constructed using equations (A.90) and (A.91) and adding an angle of 2π/NN in equation (A.91). The angle, δ6, is called the blade setting angle and it is defined in figure A.9. The setting angle is not known beforehand but must be found during the calculation process. This will be done by varying the setting angle until the blade to blade throat is set to give properly guidance upon the rotor blades. To be able 88PDF Image | A Detailed Analysis of Radial Turbines
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