Abstract
The flow and stability of liquid through a tube at subfreezing
temperature can be modified by the upstream flow conditions. A
simplified model for the dynamics is used to show behavior 3 different
upstream configurations. When certain stability parameters are met: 1. A
compressible reservoir has oscillatory behavior . 2. A tube fed by a
constriction with a large upstream pressure behaves like a freezing
faucet during winter. 3. Multiple tubes connected by an upstream
manifold evolve to some selected flowing tubes and others seeping with
their spacing inversely proportional to manifold flow resistance.
Numerically, a minimum radius needs to be invoked in many cases to avoid
excessive upstream pressure. Results have numerous applications such as
wintertime ice formation at natural springs, the formation of magma
tubes, spacing of volcanism, and the distance that liquid flows through
freezing surroundings