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Numerical solution of a cavity problem under surface tension effect
Author(s) -
Laiadi Abdelkader,
Merzougui Abdelkrim
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6474
Subject(s) - inviscid flow , mathematics , conservative vector field , surface tension , boundary value problem , compressibility , mathematical analysis , numerical analysis , flow (mathematics) , partial differential equation , integral equation , mechanics , geometry , physics , quantum mechanics
Free‐surface flow past two inclined plate is considered. The “Riabouchinsky model” has been chosen to close the cavitiy. The fluid is assumed to be inviscid and incompressible and the flow to be two dimensional, steady, and irrotational. Surface tension is included in the dynamic boundary conditions, but the effects of gravity are neglected. The problem is solved numerically using boundary integral equation techniques. More specifically, the numerical method used is based on an integro‐differential equation reformulation. Numerical solutions are found for different values of the angle of inclination γ and for various values of the inverse Weber number δ .