Work

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

Year: 2025

Type: article

Abstract: 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.

Source: Results in Applied Mathematics

DOI: 10.1016/j.rinam.2025.100599

Authors: Jean-Baptiste Leroux, Matthieu Sacher

Institutions: Centre National de la Recherche Scientifique, Institut de Recherche Dupuy de Lôme, Institut Polytechnique de Paris

Language: English

Topic: Cavitation Phenomena in Pumps

Subfield: Mechanics of Materials

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,770

OpenAlex ID: W4411330710

FWCI:

Cites: 11

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Related to: 10