Parallel solution of three-dimensional Marangoni flow in liquid bridges

The Solution of Three Dimensional Incompressible Potential Flow Through Rectangular Ducts

The Solution of Three Dimensional Incompressible Potential Flow Through Rectangular Ducts

Global Solution to the Three-Dimensional Compressible Flow of Liquid Crystals

The equations for the three-dimensional incompressible flow of liquid crystals are considered in a smooth bounded domain. The existence and uniqueness of the global strong solution with small initial data are established. It is also proved that when the strong solution exists, all the global weak solutions constructed in [16] must be equal to the unique strong solution.

Three Dimensional Stability Analysis of a Liquid Propellant Combustor

A theoretical study analyzing three-dimensional combustion acoustic instabilities in a liquid propellant rocket engine combustor has been conducted. A linear theory based on Crocco’s pressure sensitive time lag model is used. To apply this theory the combustor is divided into two main components, including the combustion chamber and the converging part of the nozzle. The assumption of concentra...

Simulation of three-dimensional Bénard-Marangoni flows including deformed surfaces

We present a coupled thermal-fluid model for Bénard-Marangoni convection in a three-dimensional fluid layer. The governing equations are derived in detail for two reasons: first, we do not assume a flat free surface as commonly done; and second, we prepare for the use of flexible discretizations. The governing equations are discretized using spectral elements in space and an operator splitting ...