Stability Analysis of Slowly Divergent Swirling Flow(Ⅰ)——Theory

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1995 > 16(11): 973-979

Xia Nan, Yin Xieyuan. Stability Analysis of Slowly Divergent Swirling Flow(Ⅰ)——Theory[J]. Applied Mathematics and Mechanics, 1995, 16(11): 973-979.

Citation:

Xia Nan, Yin Xieyuan. Stability Analysis of Slowly Divergent Swirling Flow(Ⅰ)——Theory[J]. Applied Mathematics and Mechanics, 1995, 16(11): 973-979.

Citation:

Xia Nan, Yin Xieyuan. Stability Analysis of Slowly Divergent Swirling Flow(Ⅰ)——Theory[J]. Applied Mathematics and Mechanics, 1995, 16(11): 973-979.

Department of modern Mechanics, University of Science and Technology of Chin, Hefei 230026

[1]	M.Lesson and F.Paillet.The stability of a trailing line vortex.Part I.Inviscid theory,J.Fluid Mech.,62(1974).753-763.
[2]	P.W.Duck and M.R.Foster,The inviscid stability of a trailing line vortex.ZAMP,31(1988),524-532.
[3]	Yin Xieyuan and Xia Nan,The investigation of spatial instability of swirling flow Advances in Applied Math.and Mech,in China,3(1991),75-85.
[4]	S.Leibovich and K.Stewartson.A sufficient condition for instability of columnar vortices,J.Fluid Mech.126(1983).335-356.
[5]	H.Ludwieg,Stabilitat der stromung in einem zylindrischeo Ringraum,ZGW,9(1961),53-361.
[6]	L.N.Howard and A.S.Gupta,On the hydrodynamic and hydromagnetic stability of swirling flow,J.Fluid Mech.,14(1962),463-47
[7]	J.H.Faler and S.Leibovich,Disrupted states of vortex flow and vortex breakdown,The Physics of Fluids,2(9)(177),1385-14
[8]	C.Y.Tsai and S.E.Widnall,Examination of group-elocity criterion for breakdown of vortex flow in a divergent duct,Phys.Fluids,23(5)(195),54-87
[9]	M.Bouthier,J.Mec.,11(1972),599.
[10]	D.G.Crighton and M.Gaster,Stability of slowly diverging jet flow,J.Fluid Mech.,77(1976),397-413.
[11]	P.Plaschko,Helical instability of slowly divergent jet J.Fluid Mech.,92(1979),29-215.