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Experiments are conducted for the characteristics of both body and wake-generated internal waves due to a revolution body (aspect ratio 7:1) in a stratified fluid with a pycnocline where the revolution body is horizontally towed in forward and backward ways. Results show that the body-generated internal waves are a type of stationary multiple-mode Lee wave structures, and the wake-generated internal waves are a type of non-stationary quasi-Lee structures produced by the large-scale coherent structure in the turbulent wake acting as a moving excitation with respect to the towed revolution body. The transition between Lee and quasi-Lee waves occurs at a critical Froude number Frc which is shown to be linearly dependent on the aspect ratios of the revolution bodies where the wave patterns for FrFrc are dominated byLee waves,whereas the wave patterns forFrFrcare dominated by quasi-Lee waves,Fr is the Froude number for the characteristic diameter of the revolution body. For the quasi-Lee waves, the dimensionless peak-to-peak amplitudes linearly increase with Fr and the Froude numbers relative to the correlation velocities remain at a relatively constant value of approximately 0.8 regardless of the aspect ratios. Moreover, the head and the tail shapes of the revolution body have no remarkable influence on the critical Froude number Frc, as well as both the Froude numbers relative to the correlation velocities and the dimensionless peak-to-peak amplitudes of the quasi-Lee waves.
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Keywords:
- stratified fluid /
- revolution body /
- Lee wave /
- quasi-Lee wave
[1] Wei G,Dai S Q 2006 Advances in Mechanics 36 111 (in Chinese)[魏岗,戴世强 2006 力学进展 36 111]
[2] Nguyen HP 1993 United States Naval Institue Press Annapolis Md.
[3] Chung Y K,Lim J S 1991 J.Ship.Res.35 191
[4] Keller J B,Munk W H 1970 Phys.Fluids 13 1425
[5] Voisin B 1994 J.Fluid Mech.261 333
[6] Lin Q,Linberg WR,Boyer D L,Fernado H J S 1992 Phys.Fluids 8 1687
[7] Spedding G R,Browand F K,Fincham A M 1996 Dyn.Armos.Ocean 23 171
[8] Bonnier M,Eiff O 2002 Phys.Fluids 14 791
[9] Meunier P,Diamessis P J,Spedding G R 2006 Phys.Fluids 18 1
[10] Gilreath H E,Brandt A 1985 AIAA Journal 23 693
[11] Chomaz J M,Bonneton P,Hopfinger E J 1993 J.Fluid Mech.254 1
[12] Bounneton P,Chomz J M,Hopfinger E J 1993 J.Fluid Mech.254 23
[13] Plougonven R,Zeitlin V 2002 Phys.Fluids 14 1259
[14] You Y X,Zhao X Q,Chen K,Wei G 2009 Acta Phys.Sin.58 6750 (in Chinese)[尤云祥,赵先奇,陈科,魏岗 2009 {bf 58 6750]
[15] Wei G,Wu N,Xu X H,Su X B,You Y X 2011 Acta Phys.Sin.60 1 (in Chinese)[魏岗,吴宁,徐小辉,苏晓冰,尤云祥 2011 60 1]
[16] Wei G,Zhao X Q,Su X B,You Y X 2009 Science in China Series G 39 1338 (in Chinese)[魏岗,赵先奇,苏晓冰,尤云祥 2009 中国科学 G {bf 39 1338]
[17] Robey HF 1997 Phys Fluids 9 3353
[18] Zhao X Q,You Y X,Chen K,Hu T Q,Wei G 2009 Journal of Shanghai Jiaotong University 43 1298 (in Chinese)[赵先奇,尤云祥,陈科,胡天群,魏岗 2009 上海交通大学学报 43 1298]
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[1] Wei G,Dai S Q 2006 Advances in Mechanics 36 111 (in Chinese)[魏岗,戴世强 2006 力学进展 36 111]
[2] Nguyen HP 1993 United States Naval Institue Press Annapolis Md.
[3] Chung Y K,Lim J S 1991 J.Ship.Res.35 191
[4] Keller J B,Munk W H 1970 Phys.Fluids 13 1425
[5] Voisin B 1994 J.Fluid Mech.261 333
[6] Lin Q,Linberg WR,Boyer D L,Fernado H J S 1992 Phys.Fluids 8 1687
[7] Spedding G R,Browand F K,Fincham A M 1996 Dyn.Armos.Ocean 23 171
[8] Bonnier M,Eiff O 2002 Phys.Fluids 14 791
[9] Meunier P,Diamessis P J,Spedding G R 2006 Phys.Fluids 18 1
[10] Gilreath H E,Brandt A 1985 AIAA Journal 23 693
[11] Chomaz J M,Bonneton P,Hopfinger E J 1993 J.Fluid Mech.254 1
[12] Bounneton P,Chomz J M,Hopfinger E J 1993 J.Fluid Mech.254 23
[13] Plougonven R,Zeitlin V 2002 Phys.Fluids 14 1259
[14] You Y X,Zhao X Q,Chen K,Wei G 2009 Acta Phys.Sin.58 6750 (in Chinese)[尤云祥,赵先奇,陈科,魏岗 2009 {bf 58 6750]
[15] Wei G,Wu N,Xu X H,Su X B,You Y X 2011 Acta Phys.Sin.60 1 (in Chinese)[魏岗,吴宁,徐小辉,苏晓冰,尤云祥 2011 60 1]
[16] Wei G,Zhao X Q,Su X B,You Y X 2009 Science in China Series G 39 1338 (in Chinese)[魏岗,赵先奇,苏晓冰,尤云祥 2009 中国科学 G {bf 39 1338]
[17] Robey HF 1997 Phys Fluids 9 3353
[18] Zhao X Q,You Y X,Chen K,Hu T Q,Wei G 2009 Journal of Shanghai Jiaotong University 43 1298 (in Chinese)[赵先奇,尤云祥,陈科,胡天群,魏岗 2009 上海交通大学学报 43 1298]
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