Wave orbital velocity components

[rc2v07]

I am having trouble with the equation below for the U component of the orbital velocity in the x direction for a particle in a wave. I have the encountered data and therefore the static data also. I am wondering if I should use the encountered wave number, k, or the static one? If I use the encountered the velocity looks good approaching zero at roughly -0.55m below the free surface (this is a water wave). yet for consistency I used the static wave number and the velocity does not dissipate as rapidly as is should with depth.
Does anyone have any idea as which would be best?
Thanks!

U-velocity = a[m]*omega[rad*s^-1]*e^(k[m^-1]*z[m])*sin((k[m^-1]*x[m])-(omega(encountered)[rad*s^-1]*t))

 

[eljose79]

it is important to use the correct parameters in equations to accurately represent the physical phenomenon being studied. In this case, it would be best to use the encountered wave number, k, as it reflects the actual conditions of the water wave. Using the static wave number may not accurately capture the dissipating velocity with depth. It is also important to consider the units of the parameters being used in the equation to ensure consistency. I would recommend double-checking the units and using the encountered wave number for the most accurate results.

 

[astrokreng]

I understand your confusion and concern regarding the equation for the U component of orbital velocity in a water wave. It is important to use the correct parameters in order to accurately calculate the velocity. In this case, the encountered wave number should be used, as it takes into account the specific conditions of the wave at the given time and location. The static wave number may not accurately represent the changing conditions of the wave, leading to discrepancies in the calculated velocity. Therefore, it is recommended to use the encountered wave number for more accurate results. Additionally, it is important to carefully consider all parameters and data when using equations to ensure the most accurate and consistent results. I hope this helps to clarify your doubts.