### 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 language | English (US) |
---|---|

Pages (from-to) | 877-887 |

Number of pages | 11 |

Journal | Journal of Wind Engineering and Industrial Aerodynamics |

Volume | 36 |

Issue number | 1-3 |

State | Published - Oct 1990 |

Externally published | Yes |

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### 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

**A continuum mixture theory with an application to turbulent snow, air flows and sedimentation.** / Decker, Rand.

Research output: Contribution to journal › Article

*Journal of Wind Engineering and Industrial Aerodynamics*, vol. 36, no. 1-3, pp. 877-887.

}

TY - JOUR

T1 - A continuum mixture theory with an application to turbulent snow, air flows and sedimentation

AU - Decker, Rand

PY - 1990/10

Y1 - 1990/10

N2 - 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.

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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M3 - Article

VL - 36

SP - 877

EP - 887

JO - Journal of Wind Engineering and Industrial Aerodynamics

JF - Journal of Wind Engineering and Industrial Aerodynamics

SN - 0167-6105

IS - 1-3

ER -