Campbell PC208 Instruction Manual Page 12

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12
in order to get the expression for the velocity profile as a function of stem radius,
r
[m].
This curve is then integrated over the sapwood cross-section to calculate the volume sap
flux, Q, as
Q
r
J
r
dr
H
R
=
2
π
(
)
(6)
for a stem of cambium radius
R
[m] and heartwood radius
H
[m].The stem parameter H
needs to be determined from an analysis of trunk cores taken at the end of the experiment
while
R
can be derived from the stem circumference and an allowance for the depth of the
bark.
2. Instrumentation
The HPV system described here is based on the ‘compensation’ Heat -Pulse method
(Marshall, 1958; Swanson and Whitfield, 1981) and comprises a set of probes and
associated electronics connected to a data logger (model CR10, CR21X or CR23X,
Campbell Scientific Inc., Utah, USA). Each set of probes comprises a linear heater and
two temperature sensors which are installed radially into the tree stem, as shown in Fig. 1.
The heater probe is made from a length of 19 swg stainless steel tube, containing a central
nichrome resistance wire (5
m
-1
) which is insulated inside a fine Teflon tube. The
temperature sensors each comprise four copper-constantan thermo-couple junctions (42
swg) and are made from a length of Teflon tubing (18 swg) which is filled with epoxy
resin. The electronics consists of a heater controller and a set of linear instrumentation
amplifiers which have a gain of about 5000. The simple heat-pulse controllers do not
have any amplifiers.
A data logger (Campbell Scientific Inc., Logan, Utah) is used to activate the heater, for
0.5 to 1 s, in order to introduce a heat-pulse tracer into the moving sap stream. A pair of
temperature sensors are used to monitor subsequent changes in stem temperature which
occur as the heat-pulse is propagated through the sapwood, both by conduction through
the wood and sap matrix and by convection with the moving sap streams. Typically,
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