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| Format: | Preprint |
| Published: |
1998
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/math/9806061 |
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| _version_ | 1866909853525475328 |
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| author | Pirumov, Ulyan G. |
| author_facet | Pirumov, Ulyan G. |
| contents | This paper presents numerical and analytical investigation of gas flow in gas-dynamic filter - a device for cleaning gas from solid particles with counter flow of large water particles in order to prevent their release to the atmosphere.
Ideal and viscous gas flows are considered. It is assumed, that gas flow is stationary, incompressible and plane, thus in the case of ideal gas stream function is considered, and in its terms boundary conditions are formulated. To determine stream function Dirichlet problem for Laplace equation is solved. Numerical solution is obtained using five-point scheme, and analytical - by conformal mapping. It is demonstrated that numerical solution fits very accurately with the analytical one. Then in the already known gas flow field trajectories of particles of different size are calculated in Lagrange formulation, taking into account dust particles as well as filtering water drops.
Trajectories of particles of several different sizes under different modes of filter operation were analysed. The adequacy of real and computed flow is demonstrated.
Computation of the flow is done using full Navier-Stokes equations. The possibility of formation of rotation and separation zones in the flow is demonstrated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_9806061 |
| institution | arXiv |
| publishDate | 1998 |
| record_format | arxiv |
| spellingShingle | Numerical Analysis of Two-Phase Flow in Gas-Dynamic Filter Pirumov, Ulyan G. Numerical Analysis 65C20 This paper presents numerical and analytical investigation of gas flow in gas-dynamic filter - a device for cleaning gas from solid particles with counter flow of large water particles in order to prevent their release to the atmosphere. Ideal and viscous gas flows are considered. It is assumed, that gas flow is stationary, incompressible and plane, thus in the case of ideal gas stream function is considered, and in its terms boundary conditions are formulated. To determine stream function Dirichlet problem for Laplace equation is solved. Numerical solution is obtained using five-point scheme, and analytical - by conformal mapping. It is demonstrated that numerical solution fits very accurately with the analytical one. Then in the already known gas flow field trajectories of particles of different size are calculated in Lagrange formulation, taking into account dust particles as well as filtering water drops. Trajectories of particles of several different sizes under different modes of filter operation were analysed. The adequacy of real and computed flow is demonstrated. Computation of the flow is done using full Navier-Stokes equations. The possibility of formation of rotation and separation zones in the flow is demonstrated. |
| title | Numerical Analysis of Two-Phase Flow in Gas-Dynamic Filter |
| topic | Numerical Analysis 65C20 |
| url | https://arxiv.org/abs/math/9806061 |