Research on similarity law of the flow noise of the submarine

［Objectives］ This study aims to investigate the similarity laws of submarine flow noise, with the objective of enhancing the assessment accuracy of submarine stealth performance. ［Methods］ The flow field simulation of the SUBOFF submarine model was conducted using the incompressible SIMPLEC algorithm in conjunction with the k-epsilon turbulence model. The flow noise was calculated employing the K-FWH model, taking into account factors such as appendages, Mach number (Ma), Reynolds number (Re, indicating model scale), and the radius (R) of acoustic monitoring points. ［Results］ The study found that appendages have a limited impact on the similarity laws, and the frequency of submarine flow noise follows the Helmholtz number similarity law. In the mid-to-low frequency range, the sound pressure level similarity law is closely correlated with the sixth power of the Mach number and the square of the model scale. However, in the high-frequency range, due to intensified scale effects, the sound pressure level similarity law deviates slightly. The findings of this study provide a solid theoretical foundation and technical support for the prediction, assessment, and stealth design of submarine flow noise. Future work can further refine the models to improve prediction accuracy.