Numerical And Experimental Results For The
Warming Of Cylindrical Timber Segments
Author(s)
D. A. Gigliotti & P. J. Montgomery
Abstract
As part of an industrial process in the forestry industry, pre-cut segments of
debarked logs are conditioned by placing the wood segments in a warm water
shower. For wood which is initially cold (or sometimes frozen) and has a relatively
high moisture content, the conditioning process results in a net increase in
temperature and change in moisture content. As a porous media, wood has a fairly
complex structure due to the orientation and sizes of the cells which make up the
fibers. In addition, the moisture content of the recently debarked log segments is
relatively high, the moisture being almost completely composed of liquid water
trapped by capillary forces. Simplistic models which assume a constant moisture
content have previously been used to predict conditioning time. However, as is
often the case in reality, the complexity of the problem is such that more accurate
modelling is desired.
To learn more about the conditioning process, preliminary experiments were
conducted using a data logger and an array of fifteen thermocouples placed radially
at three points on a log segment which was then put through a full conditioning
cycle. Theoretical model equations are presented, which take into account both the
liquid and vapour components of the water, and spatial averaging is used to create
a system of nonlinear partial differential equations. The problem is then simplified
through some basic assumptions to pose a set of coupled differential equations for
energy and moisture transport in one spatial dimension. A finite difference numerical
method is used to solve the initial boundary value problem for the coupled
system of nonlinear partial differential equations, and some numerical results are
compared to experimental data for the one dimensional problem. Limitations of
the model are identified and discussed.
Keywords: multiphase flow, porous media, water transport, finite differences.
Keywords
multiphase flow, porous media, water transport, finite differences.
Related Book
Other papers in this volume
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