A mathematical model of Helmholtz type for a parachute profile in the presence of gravity |
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Authors: | Titus Petrila Teodor Pătrăuţă |
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Affiliation: | 1. Academy of Romanian Scientists, “Dimitrie Cantemir” Christian University, 176 Splaiul Unirii, 4 District, Bucharest, Romania;2. “Vasile Goldis” Western University of Arad, 94 Blv. Revolutiei, Arad, Romania |
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Abstract: | A model of Helmholtz type for a plane inviscid incompressible and potential fluid flow past a curvilinear obstacle of parachute in the presence of gravity is considered. Assuming that the “attack” (wind) flow is unsteady, it is shown that a bounded cavity zone should occur behind the obstacle. The determination of the fluid flow is reduced to a boundary value problem of Volterra type, for a half plane whose solution is explicitly set up, once the unknown separation (jet) lines are found under some approximation hypotheses. |
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