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NI Zhihui,SONG Zhiyao,WU Lichun. 2009. Study on the double-logarithmic profile of tidal flow velocity in the near-bed layers. Acta Oceanologica Sinica, (6):84-92
Study on the double-logarithmic profile of tidal flow velocity in the near-bed layers
Study on the double-logarithmic profile of tidal flow velocity in the near-bed layers
Received:September 02, 2008  Revised:August 30, 2009
DOI:
Key words:turbulence shear stress  tidal current  double logarithmic profile  near-bed layers  friction velocity  roughness length
中文关键词:  turbulence shear stress  tidal current  double logarithmic profile  near-bed layers  friction velocity  roughness length
基金项目:The National Natural Science Foundation of China under contract No. 50339010, the public welfare projects of Water Resources Ministry of China under contract No.200701026, and the Natural Science Foundation of the Jiangsu Higher Education institutions of China under contract No. 09KJA170003.
Author NameAffiliationE-mail
NI Zhihui Southwestern Research Institute of Water Transport Engineering, Chongqing Jiaotong University, Chongqing 400016, China
State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210098, China 
 
SONG Zhiyao Key Laboratory of Virtual Geographic Environment(Ministry of Education), Nanjing Normal University, Nanjing 210097, China zhiyaosong@sohu.com 
WU Lichun Chongqing Education College, Chongqing 400067, China  
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Abstract:
      Tidal current velocity profile in the near-bed layers has been widely studied. The results showed that velocity profile in the near-bed layer obviously departure from the traditional logarithmic profile, due to the acceleration or deceleration. Although the logarithmic linear profile can reduce the rate of deviation from this, only it is a lower-order approximate solution. In this paper, considering the unsteady and non-linear features of tidal motion, the double logarithmic profile near-bed layers in estuarine and coastal waters is established on the assumption that the turbulent shear stress along the water depth was parabolic distribution, and on the basis of Prandtl's mixing length theory and von Karman's self-similar theory. Having been verified the data observed at the West Solent in the south of England, and comparison of the logarithmic linear profile, it found that the double logarithmic profile is more precious than the latter. At last, the discussed results showed that:(1) The parabolic distribution of the tidal shear stresses verified good by the field data and experimental data, can be better reflected the basic features of the tidal shear stress deviating from linear distribution that is downward when to accelerate, upward when to decelerate. (2) The traditional logarithmic velocity profile is the zero-order approximation solution of the double logarithmic profile, the logarithmic linear profile is the first order, and the logarithmic parabolic profile is the second order. (3) Ignoring the conditions of diffusion and convection in the tidal movement, the double logarithmic profile can reflect the tidal properties of acceleration or deceleration, so that the calculation of the friction velocity and roughness length are more reasonable. When the acceleration or the deceleration is about zero, the double logarithmic profile becomes the logarithmic profile.
中文摘要:
      Tidal current velocity profile in the near-bed layers has been widely studied. The results showed that velocity profile in the near-bed layer obviously departure from the traditional logarithmic profile, due to the acceleration or deceleration. Although the logarithmic linear profile can reduce the rate of deviation from this, only it is a lower-order approximate solution. In this paper, considering the unsteady and non-linear features of tidal motion, the double logarithmic profile near-bed layers in estuarine and coastal waters is established on the assumption that the turbulent shear stress along the water depth was parabolic distribution, and on the basis of Prandtl's mixing length theory and von Karman's self-similar theory. Having been verified the data observed at the West Solent in the south of England, and comparison of the logarithmic linear profile, it found that the double logarithmic profile is more precious than the latter. At last, the discussed results showed that:(1) The parabolic distribution of the tidal shear stresses verified good by the field data and experimental data, can be better reflected the basic features of the tidal shear stress deviating from linear distribution that is downward when to accelerate, upward when to decelerate. (2) The traditional logarithmic velocity profile is the zero-order approximation solution of the double logarithmic profile, the logarithmic linear profile is the first order, and the logarithmic parabolic profile is the second order. (3) Ignoring the conditions of diffusion and convection in the tidal movement, the double logarithmic profile can reflect the tidal properties of acceleration or deceleration, so that the calculation of the friction velocity and roughness length are more reasonable. When the acceleration or the deceleration is about zero, the double logarithmic profile becomes the logarithmic profile.
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