Using Plücker Coordinates for Pumping Speed Evaluation of Molecular Pump in the DSMC Method
In this study, the Plücker coordinates representation is used to formulate the ruled surface and the molecular path for pumping speed performance evaluation of a molecular vacuum pump. The ruled surface represented by the Pliicker coordinates is used to develop a criterion for when gas molecules...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2001-01-01
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| Series: | International Journal of Rotating Machinery |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S1023621X01000021 |
| Summary: | In this study, the Plücker coordinates representation is used to formulate
the ruled surface and the molecular path for pumping speed performance evaluation of a
molecular vacuum pump. The ruled surface represented by the Pliicker coordinates is used
to develop a criterion for when gas molecules hit the pump surface wall. The criterion is
applied to analyze the flow rate of a new developed vacuum pump in transition regimes by
using the DSMC (Direct Simulation Monte Carlo) method. When a molecule flies in a neutral
electrical field its path is a straight line. If the molecular path and the generators of a ruled
surface are both represented by the Pliicker coordinates, the position of the molecular hit on
the wall can be verified by the reciprocal condition of the lines. The Plücker
coordinates representation is quite convenient in the DSMC method for this
three-dimensional molecular flow simulation. |
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| ISSN: | 1023-621X |