A continuum mixture theory with an application to turbulent snow, air flows and sedimentation

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Abstract

A continuum mixture theory is specialized for the case of turbulent snow, air transport and sedimentation. To facilitate closure a constitutive assumption is made for the turbulent variables of the snow phase in terms of the mean velocities or shear gradients of the airflow. The resulting turbulent equations of motion for the snow phase contain a set of terms which could be characterized as apparent or turbulent buoyancies. The magnitude of these terms is large where the shear gradients of the airflow are large. The system of non-linear partial differential equations resulting from the turbulent equations of motion are approximated by finite difference techniques. Solutions for the snow phase velocity and density fields are investigated for a variety of one and two dimensional airflow regimes. The model snow phase velocity and density field solutions are compared with observed snow and air mixture flows over flat surfaces and over the crest of a triangular barrier. Lastly, the accumulation rate of deposited snow on the immediate lee of the two dimensional barrier is compared with observation.

Original languageEnglish (US)
Pages (from-to)877-887
Number of pages11
JournalJournal of Wind Engineering and Industrial Aerodynamics
Volume36
Issue number1-3
StatePublished - Oct 1990
Externally publishedYes

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Snow
Sedimentation
airflow
snow
sedimentation
Air
Phase velocity
phase velocity
Equations of motion
air
accumulation rate
Partial differential equations

ASJC Scopus subject areas

  • Mechanical Engineering
  • Civil and Structural Engineering
  • Renewable Energy, Sustainability and the Environment
  • Earth and Planetary Sciences(all)
  • Environmental Science(all)

Cite this

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abstract = "A continuum mixture theory is specialized for the case of turbulent snow, air transport and sedimentation. To facilitate closure a constitutive assumption is made for the turbulent variables of the snow phase in terms of the mean velocities or shear gradients of the airflow. The resulting turbulent equations of motion for the snow phase contain a set of terms which could be characterized as apparent or turbulent buoyancies. The magnitude of these terms is large where the shear gradients of the airflow are large. The system of non-linear partial differential equations resulting from the turbulent equations of motion are approximated by finite difference techniques. Solutions for the snow phase velocity and density fields are investigated for a variety of one and two dimensional airflow regimes. The model snow phase velocity and density field solutions are compared with observed snow and air mixture flows over flat surfaces and over the crest of a triangular barrier. Lastly, the accumulation rate of deposited snow on the immediate lee of the two dimensional barrier is compared with observation.",
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AB - A continuum mixture theory is specialized for the case of turbulent snow, air transport and sedimentation. To facilitate closure a constitutive assumption is made for the turbulent variables of the snow phase in terms of the mean velocities or shear gradients of the airflow. The resulting turbulent equations of motion for the snow phase contain a set of terms which could be characterized as apparent or turbulent buoyancies. The magnitude of these terms is large where the shear gradients of the airflow are large. The system of non-linear partial differential equations resulting from the turbulent equations of motion are approximated by finite difference techniques. Solutions for the snow phase velocity and density fields are investigated for a variety of one and two dimensional airflow regimes. The model snow phase velocity and density field solutions are compared with observed snow and air mixture flows over flat surfaces and over the crest of a triangular barrier. Lastly, the accumulation rate of deposited snow on the immediate lee of the two dimensional barrier is compared with observation.

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