### Abstract

We derive averaged equations for large Reynolds number laminar flows of gas-liquid dispersions accounting for slowly varying spatial and temporal fields. In particular, we obtain an exact expression for the dispersed-phase stress tensor to be used in the force balance equation for gas bubbles and illustrate its application by evaluating the stress tensor for a few special cases. It is shown that the dispersed-phase stress tensor gradient with respect to the mean relative motion or the void fraction for the uniformly random bubbly liquids under conditions of large Reynolds number laminar flows is negative and thus has a destabilizing influence on the dynamics of void fraction waves in bubbly liquids.

Original language | English (US) |
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Pages (from-to) | 27-54 |

Number of pages | 28 |

Journal | Journal of Fluid Mechanics |

Volume | 248 |

DOIs | |

State | Published - Mar 1993 |

### ASJC Scopus subject areas

- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering

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## Cite this

*Journal of Fluid Mechanics*,

*248*, 27-54. https://doi.org/10.1017/S0022112093000679