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Fluid Flow with Three Upstream Configurations in Freezing Tubes
  • J. A. Whitehead
J. A. Whitehead
Woods Hole Oceanographic Institution

Corresponding Author:jwhitehead@whoi.edu

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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
Jun 2021Published in Journal of Geophysical Research: Earth Surface volume 126 issue 6. 10.1029/2020JF005969