Shape and maximum volume of static holdup in between two vertical spheres: A modeling study
| Autor: | Snigdha Ghosh, Nurni N. Viswanathan, N. B. Ballal |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Packed bed
Physics Laplace's equation Applied Mathematics General Chemical Engineering Rotational symmetry Perturbation (astronomy) 02 engineering and technology General Chemistry Mechanics 021001 nanoscience & nanotechnology Industrial and Manufacturing Engineering 020401 chemical engineering SPHERES Boundary value problem Minification 0204 chemical engineering 0210 nano-technology Gravitational force |
| Zdroj: | Chemical Engineering Science. 212:115332 |
| ISSN: | 0009-2509 |
| DOI: | 10.1016/j.ces.2019.115332 |
| Popis: | Static liquid holdup is one of the important parameters in packed bed operations. Packed bed can be fundamentally imagined as an aggregate of two-sphere contacts and liquid is potentially held at the contact points. Between two vertical spheres, existing literature report maximum volume of films either as the geometric limit while solving Young-Laplace equation or the stability limit of static liquid holdup in the presence of asymmetric perturbation. However, it is of fundamental interest to find out the maximum limit of stability of the liquid without any asymmetric perturbation. This work shows a limit, below the geometrical limit of the system, beyond which liquid cannot be stable due to the gravitational force. Axisymmetric film shapes of a given volume, derived using Young- Laplace equation with different boundary conditions, are tested with total energy minimization principle to define the stability limit. Further, a correlation for maximum static liquid holdup is reported with respect to a modified Bond number. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect