The electro-osmosis through an annulus is investigated. The electric potential and flow velocity profile are obtained by solving the linearized Poisson-Boltzmann equation and the Stokes equation. Both the thin and thick double layer limits are analyzed. Under the condition of thin double layer, the
Slip flow in an annulus
โ Scribed by Quarmby, Alan
- Publisher
- Springer
- Year
- 1966
- Tongue
- English
- Weight
- 478 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0003-6994
No coin nor oath required. For personal study only.
โฆ Synopsis
A solution is presented for the flow of a viscous incompressible fluid in the entrance region of an annulus with slip occurring at the walls. The condition is imposed that the pressure drop found from momentum considerations should be the same as that from mechanical energy considerations. Results are given for radius ratios of 1.05, 2, 5 and 10 for Knudsen numbers 0, 0.010, 0.050 and 0.1.
๐ SIMILAR VOLUMES
This study deals numerically with the laminar slip-flow forced convection in a micro annulus with constant wall temperature. The solution takes the effects of viscous dissipation, velocity-slip and temperature-jump conditions at the surface into considerations. A hybrid application of the Laplace tr
ABSTBACT: The problem of a liquid conductor confined between two concentric cylindrical electrode and driven electromagnetically is considered. Simplifiations and a linearization, of the three-dimensional field equation reduces the problem to set of coupled linear partial differential equations for