wind speed and direction conversion for different levels

Hello everyone

I am having a wind direction and wind speed data at 3m height..

now i want them to convert to 10m height.

I am able to convert wind speed using Uz1/Uz2 = (z1/z2)^(1/7)

z1 and z2 are different heights..

but I am struck with wind direction.. will it change with height??if yes what is the formula please help me out.. thank you..

[dpb]

Not a Matlab question so technically off-topic...but would think that any correction between the two would turn out to be site-specific and more owing to the local conditions of the measuring station than any fundamental relationship. So I'd not expect there to be any published general correlations but if there were a literature search would be the place to start.

[Walter Roberson]

I am not clear: do you have them at 3m intervals in height and want to interpolate them as 10m intervals? Or you only have the 3m sample and want to predict the 10m data?

I am still partly asleep, but it seems to me at the moment that that wind-speed formula requires turbulence near the ground. For example, a 50 km/hr wind at 10m would be predicted to be 25 km/h at 7.8 cm, 12.5 km/h at 0.6 mm, and would continue on possessing half-energies at increasing small intervals. Surely that would lead to air "piling up" near the ground, which in turn predicts that either the formula is invalid near the ground or else that there needs to be turbulent mixing to lose the energy.