An approach to determine coefficients of logarithmic velocity vertical profile in the bottom boundary layer

Xiaowei WEI; Yiming ZHANG; Changming DONG; Meibing JIN; Changshui XIA

doi:10.1007/s00343-021-0373-x

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An approach to determine coefficients of logarithmic velocity vertical profile in the bottom boundary layer

Physics | Updated：2023-05-20

- An approach to determine coefficients of logarithmic velocity vertical profile in the bottom boundary layer
- Journal of Oceanology and Limnology Vol. 39, Issue 6, Pages: 2144-2152(2021)
- Affiliations：
  
  1.School of Marine Sciences, Nanjing University of Information Science and Technology, Nanjing 210044, China
  2.Southern Laboratory of Ocean Science and Engineering, Zhuhai 519000, China
  3.First Institute of Oceanography, Ministry of Natural Resources, Qingdao 266101, China
- Author bio：
  
  Changming DONG, cmdong@nuist.edu.cn
- Funds：
- DOI：10.1007/s00343-021-0373-x
  CLC：
- Received：29 September 2020，
  
  Accepted：11 November 2020，
  
  Online First：30 December 2020，
  
  Published：2021-11
- Accepted：
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Xiaowei WEI, Yiming ZHANG, Changming DONG, et al. An approach to determine coefficients of logarithmic velocity vertical profile in the bottom boundary layer[J]. Journal of Oceanology and Limnology, 2021, 39(6): 2144-2152.
DOI：

Xiaowei WEI, Yiming ZHANG, Changming DONG, et al. An approach to determine coefficients of logarithmic velocity vertical profile in the bottom boundary layer[J]. Journal of Oceanology and Limnology, 2021, 39(6): 2144-2152. DOI： 10.1007/s00343-021-0373-x.

摘要

Abstract

Velocity vertical profiles in the bottom boundary layer are important to understand the oceanic circulation. The logarithmic vertical profile

is the universal profile for the horizontal velocity in the boundary layer

in which two coefficients (

and

) need to be determined. The two coefficients are the functions of the friction velocity (

) and the roughness length (

)

and they are calculated using

and

. However

the measurement of

and

is a challenge. In the present study

an approach is developed to estimate the two coefficients (

and

) by using a series of flume laboratory experiments with flat boundary and regularly distributed cylinders as the rough boundaries. An acoustic doppler velocimeter (ADV) is used to measure the velocity vertical profiles of the steady flow. Using the measured velocity data

the regressed logarithmic profiles are obtained. Based on the series of the

and

values

the mathematical formula for

and

are statistically established as the function of the cylinder height

inflow velocity

and the water depth

which avoids the measurement of the friction velocity and the roughness length.

关键词

Keywords

references

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