. The unsteady dynamics of the starting flow of a flat plate is studied by using a vortex shedding model. The model describes the body and separated vortex from the trailing edge of the plate by vortex sheets, retaining a singularity at the leading edge. The model is applied to simulate the flow of an accelerated plate for small angles of attack. For numerical computations, we take two representative cases of the translational velocity of a plate: impulsive translation and uniform acceleration. The model successfully demonstrates the formation of wakes shed from the plate. The wake behind the plate is stronger for a larger angle of attack. Predictions for the lifting force from the model are in agreement with results of Navier-Stokes simulations.
机构:
School of Mathematics, Georgia Institute of Technology, Atlanta,GA,30332-0160, United StatesSchool of Mathematics, Georgia Institute of Technology, Atlanta,GA,30332-0160, United States
Alben, Silas
;
Shelley, Michael J.
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机构:
Applied Math Laboratory, Courant Institute, New York University, New York,NY,10012, United StatesSchool of Mathematics, Georgia Institute of Technology, Atlanta,GA,30332-0160, United States
机构:
NYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USANYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USA
Fang, Fang
;
Ho, Kenneth L.
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机构:
Stanford Univ, Dept Math, Bldg 380, Stanford, CA 94305 USANYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USA
Ho, Kenneth L.
;
Ristroph, Leif
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机构:
NYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USANYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USA
Ristroph, Leif
;
Shelley, Michael J.
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h-index: 0
机构:
NYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USA
Flatiron Inst, Ctr Computat Biol, 162 Fifth Ave, New York, NY 10010 USANYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USA
机构:
School of Mathematics, Georgia Institute of Technology, Atlanta,GA,30332-0160, United StatesSchool of Mathematics, Georgia Institute of Technology, Atlanta,GA,30332-0160, United States
Alben, Silas
;
Shelley, Michael J.
论文数: 0引用数: 0
h-index: 0
机构:
Applied Math Laboratory, Courant Institute, New York University, New York,NY,10012, United StatesSchool of Mathematics, Georgia Institute of Technology, Atlanta,GA,30332-0160, United States
机构:
NYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USANYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USA
Fang, Fang
;
Ho, Kenneth L.
论文数: 0引用数: 0
h-index: 0
机构:
Stanford Univ, Dept Math, Bldg 380, Stanford, CA 94305 USANYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USA
Ho, Kenneth L.
;
Ristroph, Leif
论文数: 0引用数: 0
h-index: 0
机构:
NYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USANYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USA
Ristroph, Leif
;
Shelley, Michael J.
论文数: 0引用数: 0
h-index: 0
机构:
NYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USA
Flatiron Inst, Ctr Computat Biol, 162 Fifth Ave, New York, NY 10010 USANYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USA