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有导边空泡的水翼绕流并考虑到水翼厚度的影响,这一问题已由Tulin和徐君衢作了研究,他们提出用一个ω_1的函数来求解空泡引起的扰动,起到很好的作用。本文在这一基础上作了进一步的分析。但本文提出,应该考虑到由于绕水翼存在环量而引起势函数的不连续性,这影响到数学问题的处理和求解。本文还阐明函数ω_1在导边附近存在两个对数奇点。考虑到上述因素,重新提出理论解,并做了数值计算。与实验结果作了比较,一致性可以接受。
This problem has been studied by Tulin and Xu Junqu, with the help of a v-1 function to solve the problem of cavitation-induced disturbance and to Very good effect. This article made a further analysis on this basis. However, this paper proposes that the discontinuity of the potential function due to the presence of the loop around the hydrofoil should be considered, which affects the processing and solution of mathematical problems. We also show that there exists two logarithmic singularities in the function ω_1 near the leading edge. Taking into account the above factors, put forward the theoretical solution, and made a numerical calculation. Compared with the experimental results, consistency is acceptable.