### Project Title:

An Eulerian-Lagrangian Analysis for Liquid Flows with Vapor Bubbles

11.02-0333
NAS8-38438
An Eulerian-Lagrangian Analysis for Liquid
Flows with Vapor Bubbles
Scientific Research Associates, Inc.
P.O. Box 1058
Glastonbury, CT 06033
Jayant S. Sabins
(203-659-0333)

### Abstract:

An analysis for liquid flows containing vapor bubbles--such as those which occur
in bearings, seals, and pumps in liquid rocket engines--will be developed. The approach
is based on a combined Eulerian-Lagrangian analysis in which the continuous (liquid)
phase is treated by solving a system of Eulerian conservation equations, while the
discrete (vapor bubble) phase is dealt with by integrating Lagrangian equations of
motion. Vapor bubbles of changing size can be accommodated easily by this analysis,
and the processes of vapor-bubble formation, growth, coalescence, and collapse can
be simulated by including appropriate models. Bubble mass, momentum, and energy-interchange
source terms in the Eulerian conservation equations will account for the effects
of bubble motion and other bubble processes on the continuous (liquid) phase.

### Potential Commercial Application:

Potential Commercial Applications: The results of this project would apply to the
design of liquid rocket engine components.