Two phase flows of compressible viscous fluids

Heat Convection of Compressible Viscous Fluids. I

The stationary problem for the heat convection of compressible fluid is considered around the equilibrium solution with the external forces in the horizontal strip domain z0 < z < z0 + 1 and it is proved that the solution exists uniformly with respect to z0 ≥ Z0 . The limit system as z0 → +∞ is the Oberbeck-Boussinesq equations. Mathematics Subject Classification (2010). Primary 35Q35; Secondar...

Phase Change Simulation for Isothermal Compressible Two-Phase Flows

Potential flows of viscous and viscoelastic fluids

Potential flows of incompressible fluids admit a pressure (Bernoulli) equation when the divergence of the stress is a gradient as in inviscid fluids, viscous fluids, linear viscoelastic fluids and second-order fluids. We show that in potential flow without boundary layers the equation balancing drag and acceleration is the same for all these fluids, independent of the viscosity or any viscoelas...

Compressible Two-Phase Flows: Two-Pressure Models and Numerical Methods

A conservative hyperbolic model for compressible two-phase two-fluid model is studied and numerical methods for its approximate solution are proposed. The derivation of the governing equations of the model is based on the principles of extended thermodynamics. The field equations form a hyperbolic system of balance equations in conservative form, which guarantees the well-posedness of the initi...

A Two -Step Modification toward Implementing Compressible Source Terms in Low Compressible Flows