Wind Flashcards
Roughness length (Zo) is greater in what environment?
Urban (or one with greatest friction)
Wind speed over a high roughness length environment takes
longer to reach gradient wind speed
Boundary layers depth is shallower in
high pressure scenarios
Boundary layer depth is greater in
low pressure/unstable scenarios
Main result of surface interacting with atmosphere is
Turbulence
Hard to model low level turbulence due to
the scale (very large - microscopic) and observations are difficult to make.
Laminar sub-layer
layer immediately in contact with surface (mm) non turbulent and laminar.
Turbulent mixed layer
Between laminar sub-layer and top of boundary layer. Mean flow and turbulent eddies.
Eddies are result of
Mechanical turbulence (Wind shea and surface irregularities) and also Buoyancy
Diameter of eddies are proportional to
height above surface. Smaller nearer surface.
l = kz
l = mixing length or diameter of eddies z = height above surface. k = Von Karmans constant (approx 0.4)
Surface friction creates a
momentum gradient in the boundary layer. Turbulence is the method by which it is transferred down to the surface.
Momentum flux
rate of change of momentum per unit area per second.
Roughness length
u(z) = (u* / k) (ln (z/zo)) u(z) =horizontal wind speed at height (z) u* = friction velocity of boundary layer k = Von Karmans constant zo = roughness length
Roughness length formula is only meaningful above a minimum height (Zo) because
as Z–> 0 then u–> - infinity which is impossible