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展向旋转平面库埃特湍流是旋转系统下壁湍流研究的经典问题,并且此湍流问题中的大尺度涡卷(roll cells)结构也受到广泛关注.本文采用五分解方法将存在二次流的瞬时场分解为五部分,包括平均流场、二次流场的流向和横向部分以及剩余场的流向和横向部分.通过五分解法,可以掌握湍动能各分量在能量平衡和能量传递方面的重要机制.研究结果表明:二次流和剩余场的流向运动(横向运动)是通过二次流涡量与剩余场剪应力相关项进行能量传递,二次流(剩余场)的流向运动和横向运动之间是通过旋转项进行能量传递;此外,剩余场的流向和横向运动之间还通过压力与应变率相关的再分配项进行能量传递;对于剩余场流向部分,在一定的旋转强度范围内,通过二次流涡量与剩余场剪应力相关项从二次流流向部分获取的能量大于从平均流获取的能量,说明二次流流向运动对剩余场流向运动有很大影响.
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关键词:
- 展向旋转平面库埃特流 /
- 五分解法 /
- 能量传递
[1] Tillmark N, Alfredsson P H 1996 Proceedings of the Sixth European Turbulence Conference Lausanne, Switzerland, July 2-5, 1996 p391
[2] Bech K H, Andersson H I 1996 Proceedings of the Sixth European Turbulence Conference Lausanne, Switzerland, July 2-5, 1996 p91
[3] Bech K H, Andersson H I 1996 J. Fluid Mech. 317 195
[4] Bech K H, Andersson H I 1997 J. Fluid Mech. 347 289
[5] Nagata M 1998 J. Fluid Mech. 358 357
[6] Nagata M, Kawahara G 2004 Proceedings of the Tenth European Turbulence Conference Trondheim Norway, June 29-July 2, 2004 p391
[7] Alfredsson P H, Tillmark N 2004 IUTAM Symposium on LaminarTurbulent Transition and Finite Amplitude Solutions Bristol, UK, August 9-11, 2004 p173
[8] Barri M, Andersson H I 2007 Proceedings of the 11th EUROMECH European Turbulance Conference Porto, Portugal, June 25-28, 2007 p100
[9] Hiwatashi K, Alfredsson P H, Tillmark N, Nagata M 2007 Phys. Fluids 19 048103
[10] Barri M, Andersson H I 2010 Commun. Comput. Phys. 7 683
[11] Tsukahara T, Tillmark N, Alfredsson P H 2010 J. Fluid Mech. 648 5
[12] Tsukahara T 2011 J. Phys.:Conf. Ser. 318 022024
[13] Lee M J, Kim J 1991 8th Symposium on Turbulent Shear Flows Munich, Germany, September 9-11, 1991 p531
[14] Papavassiliou D V, Hanratty T J 1997 Int. J. Heat and Fluid Flow 18 55
[15] Moser R D, Moin P 1987 J. Fluid Mech. 175 479
[16] Kim J, Moin P, Moser R 1987 J. Fluid Mech. 177 133
[17] Bech K H, Andersson H I 1994 First ERCOFTAC Workshop on Direct and Large-Eddy Simulation Guildford, UK, March 28-1994 p13
[18] Gai J, Xia Z H, Cai Q D, Chen S Y 2016 Phys. Rev. Fluid 1 054401
[19] Cai Q D, Gai J, Sun Z L, Xia Z H 2016 Int. J. Nonlinear Sci. Numer. Simul. 17 305
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[1] Tillmark N, Alfredsson P H 1996 Proceedings of the Sixth European Turbulence Conference Lausanne, Switzerland, July 2-5, 1996 p391
[2] Bech K H, Andersson H I 1996 Proceedings of the Sixth European Turbulence Conference Lausanne, Switzerland, July 2-5, 1996 p91
[3] Bech K H, Andersson H I 1996 J. Fluid Mech. 317 195
[4] Bech K H, Andersson H I 1997 J. Fluid Mech. 347 289
[5] Nagata M 1998 J. Fluid Mech. 358 357
[6] Nagata M, Kawahara G 2004 Proceedings of the Tenth European Turbulence Conference Trondheim Norway, June 29-July 2, 2004 p391
[7] Alfredsson P H, Tillmark N 2004 IUTAM Symposium on LaminarTurbulent Transition and Finite Amplitude Solutions Bristol, UK, August 9-11, 2004 p173
[8] Barri M, Andersson H I 2007 Proceedings of the 11th EUROMECH European Turbulance Conference Porto, Portugal, June 25-28, 2007 p100
[9] Hiwatashi K, Alfredsson P H, Tillmark N, Nagata M 2007 Phys. Fluids 19 048103
[10] Barri M, Andersson H I 2010 Commun. Comput. Phys. 7 683
[11] Tsukahara T, Tillmark N, Alfredsson P H 2010 J. Fluid Mech. 648 5
[12] Tsukahara T 2011 J. Phys.:Conf. Ser. 318 022024
[13] Lee M J, Kim J 1991 8th Symposium on Turbulent Shear Flows Munich, Germany, September 9-11, 1991 p531
[14] Papavassiliou D V, Hanratty T J 1997 Int. J. Heat and Fluid Flow 18 55
[15] Moser R D, Moin P 1987 J. Fluid Mech. 175 479
[16] Kim J, Moin P, Moser R 1987 J. Fluid Mech. 177 133
[17] Bech K H, Andersson H I 1994 First ERCOFTAC Workshop on Direct and Large-Eddy Simulation Guildford, UK, March 28-1994 p13
[18] Gai J, Xia Z H, Cai Q D, Chen S Y 2016 Phys. Rev. Fluid 1 054401
[19] Cai Q D, Gai J, Sun Z L, Xia Z H 2016 Int. J. Nonlinear Sci. Numer. Simul. 17 305
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