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Г.Н. Товарных
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Pressure rise in a flat channel during heat carrier freezing
© G.N. Tovarnykh
Bauman Moscow State Technical University, Moscow, 105005, Russia
The article deals with the problem of changing the pressure acting on the walls of a flat
rectangular channel filled with freezing liquid. It is supposed that during freezing of the
liquid due to the difference in densities between solid and liquid phases the volume,
which it occupies in the slot, changes and channel walls deform under the influence of
pressure difference between the external environment and the interior medium. Using the
assumption of the incompressibility of the liquid and solid phases, the change in the vol-
ume of the channel internal area due to the deformation of the enclose walls is equal to
the volume change of the liquid by changing the state of aggregation.
It is assumed that the freezing takes place in the upper part of the channel, the liquid
temperature is constant and equal to the crystallization temperature, and the interface of
the solid and liquid phases is flat. The side walls and the bottom are considered insulated
and totally rigid.
The analytical expressions for determining the pressure acting on the walls of a flat rec-
tangular channel filled with a liquid at its freezing are obtained.
Keywords
:
liquid, solid phase, plate, channel, pressure, temperature, volume, crystalliza-
tion, deformation.
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