Sensitivity analysis of thermoacoustic oscillation in cryogenics system based on response surface method

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Abstract
In the practical application of cryogenic systems, the presence of thermoacoustic oscillation can cause a series of adverse consequences such as pressure fluctua-tions, thermal leakage, structural damage, and so on. To ensure stable operation of the system, variable cross-section control pipe fittings are introduced, and re-sponse surface analysis method is used to optimize the parameter design of the control pipe fittings. A series of simulations have been conducted and the response surface method is introduced to conduct variance analysis on the simulation re-sults, and obtain the regression model of the system pressure ratio, then analyze the interaction between parameters. The analysis of variance shows that the cor-relation coefficient and adjustment coefficient are both close to 1.0, the signal to noise ratio is high, and the fitting degree of the regression model is good. The prediction error of the regression model for the pressure ratio is within ?10, and the distribution of the residual meets the random normal distribution, which can predict the system performance within the parameter design range. The interaction between pipe diameter and length has no significant impact on the oscillation state, so in design, priority should be given to the impact of location and pipe diameter. This work will provide the basis for determining the optimal control structure size of oscillation-free piping system.

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