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Yu.N.Savchenko, Yu.A.Semenov The effect of gravity on flow past a body moving along the free surface |
Applied hydromechanics, Vol. 14 (86) ¹ 2, (2012) |
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We consider the steady free-surface two-dimensional flow past a circular
cylinder in water of infinite depth. The fluid is assumed to be inviscid
and incompressible and the flow is irrotational; the surface tension on the
free surface is neglected. Our concern is with the periodic waves generated
downstream and the location of flow separation from the cylinder. The
formulation of the problem is applicable to the study of bow and stern
flows occurring near a ship moving at a constant velocity on the free
surface of a fluid. An advanced hodograph method is used to derive an
analytical expression for the complex potential of the flow. The problem is
reduced to a system of two integro-differential equations with respect to
velocity modulus on the free surface and the slope of the bottom surface. The
the Brillouin-Villat criterion is applied to determine the location of the
point of flow separation from the cylinder. The results showing the effect of
gravity on the flow detachment and waves downstream are presented over
a wide range of the Froude numbers.
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KEY WORDS: two-dimensional flow, free surface, waves, hodograph method, point of flow separation |
| TEXT LANGUAGE: Russian |