Abstract
Eddy viscosity in wave boundary layers is a key parameter in coastal engineering. Two analytical eddy viscosity profiles present a particular interest for practical applications: the parabolic-uniform profile (Myrhaug 1982, van Rijn 1993, Liu and Sato 2006) and the exponential-linear profile (Gelfenbaum and Smith 1986, Beach and Sternberg 1988, Hsu and Jan 1998, Absi 2010). The aim of our study is to assess and validate these two profiles by: (1) investigation of eddy viscosity in steady fully developed plane channel flow; (2) comparisons with numerical results of the two equation baseline (BSL) k-ω model (Menter 1994, Suntoyo and Tanaka 2009). Our study shows that these two profiles are able to describe the eddy viscosity distribution in the wave bottom boundary layer but for different wave conditions given by the parameter am/ks, where am is the wave orbital amplitude and ks the equivalent roughness. The exponential-linear profile is adequate for am/ks
Highlights
The resolution of some coastal engineering problems such as coastal erosion, transport of sediments and pollutants needs the knowledge of the boundary layer flow in the vicinity of the sea bed
Eddy viscosity is related to sediment diffusivity which is involved in the calculation of sediment concentration profiles and for the prediction of sediment transport by waves
The validation and calibration of analytical profiles need comparisons with the period-averaged eddy viscosity obtained from the BSL kω model for different wave conditions through the parameter am ks
Summary
The resolution of some coastal engineering problems such as coastal erosion, transport of sediments and pollutants needs the knowledge of the boundary layer flow in the vicinity of the sea bed. We will investigate two analytical eddy viscosity profiles for wave boundary layers namely, the parabolic-uniform profile (Myrhaug 1982, van Rijn 1993, Liu and Sato 2006) and the exponential-linear profile (Gelfenbaum and Smith 1986, Beach and Sternberg 1988, Hsu and Jan 1998, Absi 2010).
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