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The Lamb vector is known to be of profound importance for fluid dynamics generally and for the dynamics of turbulence in particular. Based on the new developments of the statistical theory of isotropic turbulence, some new analytical indications are found that the Lamb vector has a contribution in the potential and solenoidal parts, which are almost equal for some typical parameters.
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Keywords:
- vortex motion /
- Lamb vector /
- isotropic turbulence
[1] Tennekes H, Lumley J L 1972 A first Course in Turbulence (MIT Press)
[2] Batchelor G K 1975 The Theory of Homogenous Turbulence (Cambridge University Press)
[3] Frisch U 1995 Turbulence (Cambridge University Press)
[4] Monin A S, Yaglom A M 1975 Statistical fluid mechanics II (MIT Press)
[5] Tsinober A 2001 An informal introduction to turbulence (Kluwer Press)
[6] Lesieur M 1990 Turbulence in fluids (Kluwer Press)
[7] Chuanng F K 1953 Acta Phys. Sin. 9 201 (in Chinese) [庄逢甘 1953 物理学报 9 201]
[8] Zhou P Y, Huang Y N 1975 Sci. Sin. 3 180
[9] Huang Y N, Zhou P Y 1981 Sci. Sin. 24 1207
[10] Fang L, Cui G X, Xu C X 2005 Chin. Phys. Lett. 22 2877
[11] Zhu J Z, Mark Taylor 2010 Chin. Phys. Lett. 27 054702
[12] Li F C, Cai W H, Zhang H N 2012 Chin. Phys. B 21 114701
[13] Wu J Z, Ma H Y, Zhou M D 1993 Introduction of vortex dynamics (Beijing: Height Education Press) (in Chinese) [吴介之, 马晖扬, 周明德 1993 涡动力学引论 (北京: 高等教育出版社)]
[14] Moffatt H K 1992 Annu. Rev. Fluid Mech. 24 281
[15] Kraichnan R H, Panda R 1988 Phys. Fluids 31 2395
[16] Shtilman L, Polifke W 1989 Phys. Fluids A 1 778
[17] Tsinober A 1990 Phys. Fluids A 2 484
[18] Panchev S 1971 Random functions and turbulence ( Pergamon Press)
[19] Sedov L I 1944 Dokl. Akad. Nauk SSSR 41 116
[20] Sedov L I 1982 Similarity and dimensional methods in mechanics (Moscow: Mir Publishers)
[21] Ran Z 2008 Chin. Phys. Lett. 25 4318
[22] Ran Z 2009 Advances and Applications in Fluid Mechanics 5 41
[23] Ran Z 2009 arXiv: 0904.2036 [physics.flu-dyn].
[24] Ran Z 2011 Chin. Sci. Bull. 56 1
[25] Wang Y Y, Yuan X J, Ran Z 2013 Sci. China Phys., Mechanics & Astronom 43 1111 (in Chinese) [王尧尧, 袁邢杰, 冉政 2013 中国科学:物理学力学天文学 43 1111]
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[1] Tennekes H, Lumley J L 1972 A first Course in Turbulence (MIT Press)
[2] Batchelor G K 1975 The Theory of Homogenous Turbulence (Cambridge University Press)
[3] Frisch U 1995 Turbulence (Cambridge University Press)
[4] Monin A S, Yaglom A M 1975 Statistical fluid mechanics II (MIT Press)
[5] Tsinober A 2001 An informal introduction to turbulence (Kluwer Press)
[6] Lesieur M 1990 Turbulence in fluids (Kluwer Press)
[7] Chuanng F K 1953 Acta Phys. Sin. 9 201 (in Chinese) [庄逢甘 1953 物理学报 9 201]
[8] Zhou P Y, Huang Y N 1975 Sci. Sin. 3 180
[9] Huang Y N, Zhou P Y 1981 Sci. Sin. 24 1207
[10] Fang L, Cui G X, Xu C X 2005 Chin. Phys. Lett. 22 2877
[11] Zhu J Z, Mark Taylor 2010 Chin. Phys. Lett. 27 054702
[12] Li F C, Cai W H, Zhang H N 2012 Chin. Phys. B 21 114701
[13] Wu J Z, Ma H Y, Zhou M D 1993 Introduction of vortex dynamics (Beijing: Height Education Press) (in Chinese) [吴介之, 马晖扬, 周明德 1993 涡动力学引论 (北京: 高等教育出版社)]
[14] Moffatt H K 1992 Annu. Rev. Fluid Mech. 24 281
[15] Kraichnan R H, Panda R 1988 Phys. Fluids 31 2395
[16] Shtilman L, Polifke W 1989 Phys. Fluids A 1 778
[17] Tsinober A 1990 Phys. Fluids A 2 484
[18] Panchev S 1971 Random functions and turbulence ( Pergamon Press)
[19] Sedov L I 1944 Dokl. Akad. Nauk SSSR 41 116
[20] Sedov L I 1982 Similarity and dimensional methods in mechanics (Moscow: Mir Publishers)
[21] Ran Z 2008 Chin. Phys. Lett. 25 4318
[22] Ran Z 2009 Advances and Applications in Fluid Mechanics 5 41
[23] Ran Z 2009 arXiv: 0904.2036 [physics.flu-dyn].
[24] Ran Z 2011 Chin. Sci. Bull. 56 1
[25] Wang Y Y, Yuan X J, Ran Z 2013 Sci. China Phys., Mechanics & Astronom 43 1111 (in Chinese) [王尧尧, 袁邢杰, 冉政 2013 中国科学:物理学力学天文学 43 1111]
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