THE INITIAL OSCILLATORY FLOW PAST A CIRCULAR-CYLINDER

被引：6

作者：

BADR, HM ^{[1
]}

DENNIS, SCR ^{[1
]}

KOCABIYIK, S ^{[1
]}

机构：

[1] UNIV WESTERN ONTARIO,DEPT APPL MATH,LONDON,ON N6A 5B9,CANADA

来源：

JOURNAL OF ENGINEERING MATHEMATICS | 1995年 / 29卷 / 03期

关键词：

D O I：

10.1007/BF00042857

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper presents results obtained from an initial approximation for the flow around a circular cylinder in two-dimensional oscillating flow. The analysis is developed in terms of the scalar vorticity and stream function. An expansion in powers of time from the start of the motion is obtained using an exact analysis which extends the results of boundary-layer Cheery by taking into account corrections for finite Reynolds number. The time development of the physical properties of the flow are determined both by means of analytical expressions and by an accurate numerical procedure. The surface pressure, drag and surface vorticity are calculated and various estimates of the time of separation and the distance moved in this time are obtained. The phenomenon of steady streaming is not considered in this paper since the time of validity of the expansions is small. The agreement between the analytical and numerical results at small times is excellent.

引用

页码：255 / 269

页数：15

共 8 条

[1]

Stuart J.T., Unsteady boundary layers, Laminar Boundary Layers, pp. 351-408, (1963)

[2]

Wang C.-Y., The resistance on a circular cylinder in an oscillating stream, Quart. Appl. Math., 23, pp. 305-312, (1965)

[3]

Riley N., Oscillating viscous flows, Mathematika, 12, pp. 161-175, (1965)

[4]

Stuart J.T., Double boundary layers in oscillatory flows, J. Fluid. Mech., 24, pp. 673-687, (1966)

[5]

Davidson B.J., Riley N., Jets induced by oscillatory motion, J. Fluid Mech., 53, pp. 287-303, (1972)

[6]

Vasantha R., Riley N., On the initiation of jets in oscillatory viscous flows, Proc. R. Lond. A, 419, pp. 363-378, (1988)

[7]

Collins W.M., Dennis S.C.R., The initial flow past an impulsively started circular cylinder, Quart. J. Mech. Appl. Math., 26, pp. 53-75, (1973)

[8]

Badr H.M., Dennis S.C.R., Time-dependent viscous flow past an impulsively started rotating and translating circular cylinder, J. Fluid Mech., 158, pp. 447-488, (1985)

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