The product windspeed*(std. dev. of wind direction)**2 is a measure of turbulence:

(see Hicks et al. 1987)

Hicks et al. 1987. Water, Air and Soil Pollution 36:311-330

Hope this helps

Hi,

You can find some interesting information on this link:

http://www.diva-portal.org/smash/get/diva2:349976/FULLTEXT01.pdf

A lot of wind instruments, like the one in an air field for example, output a standard deviation field that is sometimes used as an estimator of turbulence.  Turbulence, however, is complicated, with the true and full description of turbulence described by the turbulent kinetic energy budget.  If you have high temporal resolution for all components (sonic anemometer) then you can calculate the turbulent kinetic energy at a level, otherwise you will have to stick with the standard deviation.  The turbulence intensity can also be used as a measure too, and is defined as sigma/meanwind.  That way you can still use 10 minute data.  

As for wind shear I imagine you must have at least to vertical measurements and therefore a tower or remote sensing instrument.  You can derive additional information from the TKE budget equation, given that you have high temporal resolution, which allows you to understand more about vertical transport and the nature of turbulence (buoyantly or shear driven).  Hopefully you also have temperature data.  If you have that along at least two heights, then you can derive the Richardson number, and be able to make assessments that condition the likelihood of turbulence generation.  This is particularly true around the critical number of 0.25, where things can be tricky.  Understanding the boundary layer conditions is also important.  I recommend considering as much as possible with the data that you have and read up on boundary layer meteorology.  It's a lot, but worth doing.