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| A numerical computational method for the flow in porous media in the circular pipe with rapid-changed cross-section |
| Revised:March 24, 2003 |
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| DOI：10.7511/jslx20051024 |
| KeyWord:flow in porous media,incompressible flow,circular pipe with rapid-changed cross-section,numerical computation |
| CHEN Jin-e |
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| Abstract: |
| The fundamental equations of the incompressible flow in porous media were written for the flow in porous media in the circular pipe with rapid-changed cross-section. The numerical computational method to solve original variables (velocity and pressure) was improved in the paper. Finality the motion equation on non-main-flow direction was used to compute the pressure. Then the motion equation on main-flow direction was used to compute the velocity component on main-flow direction. Finally the continuity equation was used to compute the velocity component on non-main-flow direction. The difficulty and trouble, which were introduced in general method to compute pressure from the continuity equation can be avoided. The semi-staggered, non-equidistante non-orthogonal mixed mesh system is used by base of the characteristics of the method and the circular pipe with rapid-changed cross-section. The difference equation and computational formula for iteration computation were written in detail. The examples of the flow in porous media in the circular pipe with rapid-changed cross-section were numerically computed. The advantages of the method are its simplicity and practicability. So the method has extensive application values in the engineering. |
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