Gas-assisted fluid displacement in a circular tube and a rectangular channel
| Autor: | Fethi Kamişli, M. E. Ryan |
|---|---|
| Rok vydání: | 2002 |
| Předmět: |
Engineering
business.industry Applied Mathematics Mechanical Engineering Mathematical analysis Computational Mechanics Finite difference method Thermodynamics Computational fluid dynamics Stokes flow Computer Science Applications Pipe flow Physics::Fluid Dynamics Mechanics of Materials Mesh generation Free surface Boundary value problem Two-phase flow business |
| Zdroj: | International Journal for Numerical Methods in Fluids. 38:407-427 |
| ISSN: | 1097-0363 0271-2091 |
| Popis: | In this paper the amount of liquid left inside of a circular tube and a rectangular channel when displaced by another immiscible fluid are determined by solving the full creeping-motion equations. The exact continuity of stress on the free surface is employed with a finite difference method. In order to solve the equations, the steady-state shape of the interface is guessed and the normal stress boundary condition is dropped. The equations based on a stream function-vorticity formulation are solved with the aid of elliptic grid generation. The computed results are compared with the experimental results of Taylor (J. Fluid Mech. 1961; 10:161), the theoretical results of Reinelt and Saffman (SIAM J. Sci. Stat. Comput. 1985; 6:542) and our experimental data. The computed results are in close agreement with our experimental data and those of previous investigators. Copyright © 2002 John Wiley & Sons, Ltd. |
| Databáze: | OpenAIRE |
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