D:\Shared on Tuch\SOP\JHU_SOPsonic_v03.doc - 2 -
Measurement of wind speed and air temperature and
computation of sensible heat and momentum fluxes using a
3-D sonic anemometer
1. Introduction
This SOP describes the basic working principle of the Campbell Scientific CSAT3 three
dimensional sonic anemometer used for wind speed and air temperature measurements
during the Baltimore PM Supersite project intensives. In addition, theoretical background
is given on the computation of momentum and sensible heat fluxes.
2. Method
A Campbell Scientific CSAT3 three-dimensional (3-D) sonic anemometer is used for this
study. It measures wind speed and the speed of sound on three nonorthogonal axes. The
wind speeds are then transformed into the orthogonal wind components u, v and w and
are referenced to the anemometer head. The speed of sound, c, is the average between the
three nonorthogonal sonic axes. From the sonically determined speed of sound the
ambient air temperature is deduced. Errors caused by wind blowing normal to the sonic
path are corrected before the wind speed is transformed into orthogonal coordinates. The
CSAT3 can be used to measure average horizontal wind speeds and direction and the
turbulent fluctuations of horizontal and vertical wind. From turbulent wind fluctuations,
momentum flux is calculated. As an example, the vertical flux of horizontal x-momentum
is defined as
><−= ''wu
xz
ρτ
(1)
where < . > denotes the averaging operation, ρ is the density of air and u' (= <u> - u) and
w' (= <w> - w) are the fluctuating wind components in the x- and z-direction,
respectively. Similarly, the vertical flux of y-momentum τ
yz
can be computed. Combining
this information furnishes the friction velocity u
*
. By finding the covariance between the
vertical wind speed fluctuations and temperature the sensible heat flux H can be
computed. The sensible heat flux is given as
><= '' TwcH
p
ρ
(2)
where c
p
is the specific heat of air at constant pressure and T' (= <T> - T) is the
fluctuating temperature. In addition to the fluxes of momentum and heat, the information
acquired with the sonic anemometer allows to characterize atmospheric stability.
Furthermore, from the horizontal wind components u and v, the wind direction can be
determined.
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