Hckyplayer8
Full Member
- Joined
- Jun 9, 2019
- Messages
- 269
Hello! I'm seeking help on how to find two different unknowns in two different equations for an atmospheric dynamics homework problem.
It involves K Theory and Ekman layer where [math]ln z/z_o =ku/u_*[/math]
and
z = a fixed height
z sub o = roughness of the object
k = Von Karman's Constant = .4
u = wind speed
u sub * = friction velocity
The knowns are two heights, 10m and 2m where the wind is moving at 10 m/s at 10m and 4.5 m/s at 2m, where the objective is to find the unknowns z sub o and u sub *
Since the surface type and its roughness doesn't change, z sub o will be the same for both equations and seems like a good place to start. But I'm unaware what mathematical step to take to solve.
Equation 1
[math]ln 10/z_o =(.4)(5)/u_*[/math]
Equation 2
[math]ln 2/z_o =(.4)(4.5)/u_*[/math]
It involves K Theory and Ekman layer where [math]ln z/z_o =ku/u_*[/math]
and
z = a fixed height
z sub o = roughness of the object
k = Von Karman's Constant = .4
u = wind speed
u sub * = friction velocity
The knowns are two heights, 10m and 2m where the wind is moving at 10 m/s at 10m and 4.5 m/s at 2m, where the objective is to find the unknowns z sub o and u sub *
Since the surface type and its roughness doesn't change, z sub o will be the same for both equations and seems like a good place to start. But I'm unaware what mathematical step to take to solve.
Equation 1
[math]ln 10/z_o =(.4)(5)/u_*[/math]
Equation 2
[math]ln 2/z_o =(.4)(4.5)/u_*[/math]