Abstract
We consider the Riemann problem for an isothermal no-slip compressible gas-liquid drift-flux model of multi-phase flows governing two mass conservation equations and one mixture momentum equation. We establish a global result for the existence and uniqueness of a solution to the Riemann problem. We obtain one parameter family of elementary wave curves explicitly. Further, we derive a necessary and sufficient condition to ensure the existence of a shock wave or a simple wave for a 1-family and a 3-family of characteristics on the initial data in the solution of the Riemann problem. Finally, we prove the result of Von Neumann’s concerning the overtaking of two weak shocks of same family.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
