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The number of nozzle blades corresponding to default value is determined using a model in which a simple blade loading velocity is calculated. The interested reader is referred to [2] for the derivation, I will only present the resulting criteria here. 4s6 sin(β4−α6) csinβ 1+r6sinα6 ≤ 1 (A.118) 4 r4 sin α4 The algorithm will iterate, starting with a number of blades equal to seven, until it finds a number of blades fulfilling the criteria in equation (A.118). The design analysis proceeds from the determination of the blade angles with the calcu- lation of the flow conditions at the leading edge. The algorithm is designed to give an inlet flow angle corresponding to optimum incedence according to. 10t4 |β6 −β4| L |β6 −β4| ideal incidence, i∗ = 3.6 L + 3.4 s − 2 6 inlet flow angle, α4 = β4 − i∗ sign(β6 − β4) I feel I should mention that before the inlet flow angle is determined all the geometry is unnormalized by a multiplication of all the geometry with the chord length. The length, L in equation (A.119) is determined from a numerical integration given by. (A.121) (A.122) It is possible to approximate dm as dr since the inlet width is taken equal to the outlet width makin dz = 0. The inlet area is determined according to. A4 = 2πr4b4 (A.123) Neither at the inlet will the static density be known and an iterative procedure like the one performed at the exit will be required. This summarizes the calculation algo- rithm. The user will be provided with a preliminary maximum velocity difference and corresponding blade loading. These parameters are given by. mdm mdr L = sinβ = sinβ 00 Li = Li−1 + ri − ri−1 (A.119) (A.120) sin βi−βi−1 2 (∆c)max = 4 π (r6c6θ − r4c4θ) cNN Blade loading : 2 (∆c)max c4 + c6 92 (A.124) (A.125)PDF Image | A Detailed Analysis of Radial Turbines
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