Finite Element Analysis Of The Sap Flow
Measurement Method With Continuous
Needle Heating In The Sapwood Of Trees
Author(s)
M. Trcala & J. Čermák
Abstract
Water flow represents the biggest energy flow in vegetation which also causes its
magnificent climatic effect. From all the water taken up by plants, the majority is
transpired, leading to leaf cooling (associated with the heat of vaporization) and
only minor amounts of water are consumed by all the other processes (such as
photosynthesis transport of assimilates, growth, etc.). The transpiration can be
estimated through the measurement of sap flow rates in a tree stem. A series of
measurement methods were developed for this purpose and they are mostly
based on thermodynamic principles.
This paper deals with the numerical analysis of the sap flow measurement
method based on the continuous needle heating of a stem segment, the
measurement of temperature differences using the thermocouples around the
heated domain and sap flow calculation from the temperature differences. An
appropriate model of heat transfer in the sapwood of trees is derived and solved.
The model is based on a partial differential equation describing conductionconvection
heat transfer during continuous linear heating and it is solved by the
finite element method.
Keywords: heat conduction-convection, sap flow measurement, finite element
method, continuous needle heating.
Keywords
heat conduction-convection, sap flow measurement, finite element
method, continuous needle heating.
Related Book
Other papers in this volume
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