部分空化水翼线性理论中五个未解析积分的解析计算

IF 1.3 Q2 MATHEMATICS, APPLIED

Results in Applied Mathematics Pub Date : 2025-06-16 DOI:10.1016/j.rinam.2025.100599

Jean-Baptiste Leroux, Matthieu Sacher

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引用次数: 0

摘要

分析计算了五个非表积分。这些积分来自部分空化水翼和螺旋桨叶片的线性理论。它们出现在确定空化数和空腔形状所涉及的一系列权函数中。本文的分析结果消除了不必要的数值积分，这有利于降低计算成本和提高数值模型的鲁棒性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Analytical computation of five unresolved integrals in the linear theory of partially cavitating hydrofoils

Five non-tabulated integrals are analytically calculated. These integrals emerge from the linear theory of partially cavitating hydrofoils and propeller blades. They appear in a series of weight functions involved in the determination of the cavitation number and cavity shape. The present analytical results eliminate the need for unnecessary numerical integrations, which could be beneficial in reducing computational costs and improving the robustness of numerical models.

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来源期刊

Results in Applied Mathematics Mathematics-Applied Mathematics

CiteScore

3.20

自引率

10.00%

发文量

审稿时长

23 days