tailieunhanh - Nuclear Power Part 5

Tham khảo tài liệu 'nuclear power part 5', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 114 Nuclear Power significantly depending on where the void is located. These differences in transfer functions are physically attributable to the nonlinear system behaviour that results from sitedependent sound speed differences due to the air position Barbero et al. 2000 as well as the concomitant changes in the standing wave frequencies Schohl Vigander 1989 . Sensing Line Leakage Leakage from a sensing line may be represented using the orifice equation of Q CfAy 2 Ap p 43 where Cf is a flow coefficient and A is the flow area of the leak. The linearized orifice equation is Sp ưppAĩ SQ 44 Cf A where Q0 is the steady-state leakage flow rate. The leak therefore becomes a parallel resistive term in the sensing line model. The equivalent resistance obtained from the linearized version of the orifice equation relating steady-state flow Q0 and pressure p0 provides two functional forms specifically R p Q0Ị Cf A 2 2 pp0 Ị Cf A . Generally the flow coefficient Cf ranges from for sharp edges to for rounded edges. The former expression for R is more useful for determining the leakage amount Q0 from a PSD whereas the latter expression is appropriate for selecting R values to perform initial scoping analyses based on the primary coolant system pressure p0 . Using the equivalent pi representation the leak may be placed at an arbitrary position along the sensing line as depicted in Fig. 17. Using the model of Fig. 17 a 50-m long 2-cm diameter sensing line was simulated with a 1mm diameter leak. The leak position was varied specifically at 25 50 and 80 of the tube length. The transfer function results shown in Fig. 18 demonstrate that although the resonant peak frequencies do not change the peak amplitude does. In particular the magnitude of the peak at the fundamental frequency decreases as the leak position moves from the inlet to the outlet but other harmonics do not necessarily exhibit the same pattern. Such results are consistent with the theoretical and .

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