Two-phase flow equations for a dilute dispersion of gas bubbles in liquid

Share/Save/Bookmark

Biesheuvel, A. and Wijngaarden, L. van (1984) Two-phase flow equations for a dilute dispersion of gas bubbles in liquid. Journal of fluid mechanics, 148 . pp. 301-318. ISSN 0022-1120

open access
[img]
Preview
PDF
1MB
Abstract:Equations of motion correct to the first order of the gas concentration by volume are derived for a dispersion of gas bubbles in liquid through systematic averaging of the equations on the microlevel. First, by ensemble averaging, an expression for the average stress tensor is obtained, which is non-isotropic although the local stress tensors in the constituent phases are isotropic (viscosity is neglected). Next, by applying the same technique, the momentum-flux tensor of the entire mixture is obtained. An equation expressing the fact that the average force on a massless bubble is zero leads to a third relation. Complemented with mass-conservation equations for liquid and gas, these equations appear to constitute a completely hyperbolic system, unlike the systems with complex characteristics found previously. The characteristic speeds are calculated and shown to be related to the propagation speeds of acoustic waves and concentration waves.
Item Type:Article
Copyright:© 1984 Cambridge University Press
Faculty:
Science and Technology (TNW)
Research Group:
Link to this item:http://purl.utwente.nl/publications/50418
Official URL:http://dx.doi.org/10.1017/S0022112084002366
Export this item as:BibTeX
EndNote
HTML Citation
Reference Manager

 

Repository Staff Only: item control page