On balance laws for mixture theories with phase change Wolfgang
Dreyer Frank Duderstadt Maren Hantke Gerald Warnecke WIAS Berlin
Otto-von-Guericke-University Magdeburg Micro-Macro Modelling and
Simulation of Liquid-Vapour Flows Strasbourg, January 2008 Slide 2
Maren Hantke On balance laws for mixture theories with phase
changeStrasbourg, January 2008 Motivation Model phase transitions 2
separated phases - carrier phase - disperse phase 2-phase mixture
balance laws involving phase change Averaging techniques NOW: close
the system Slide 3 Maren Hantke On balance laws for mixture
theories with phase changeStrasbourg, January 2008 Multi-bubble
system Single-bubble system 1D - case Slide 4 Maren Hantke On
balance laws for mixture theories with phase changeStrasbourg,
January 2008 A closed system under prescribed outer pressure,
1D-case p0p0 Assumptions: Ideal gas, inviscid Homogeneity in the
gas Incompressible, inviscid liquid Vapour Liquid Interface Kinetic
relation Slide 5 Maren Hantke On balance laws for mixture theories
with phase changeStrasbourg, January 2008 Numerical results Light
blue: fixed temperatureLight blue: fixed temperaturegreen: IELight
blue: fixed temperaturegreen: IEred: PDE Slide 6 Maren Hantke On
balance laws for mixture theories with phase changeStrasbourg,
January 2008 A closed system under prescribed outer pressure,
radial symmetric case p0p0 Assumptions: Radial symmetry Ideal gas,
inviscid Homogeneity in the gas Incompressible, inviscid liquid
Interface Vapour Kinetic relation Liquid Slide 7 Maren Hantke On
balance laws for mixture theories with phase changeStrasbourg,
January 2008 Numerical results Red: fixed temperatureRed: fixed
temperaturegreen: PDE Slide 8 Maren Hantke On balance laws for
mixture theories with phase changeStrasbourg, January 2008
Numerical results, fixed initial radius Red: p0=1650 Pagreen:
p0=1600 Palight blue: p0=1550 Pa Slide 9 Maren Hantke On balance
laws for mixture theories with phase changeStrasbourg, January 2008
Numerical results, fixed initial mass Red: p0=1650 Pagreen: p0=1600
Palight blue: p0=1550 Pa Slide 10 Maren Hantke On balance laws for
mixture theories with phase changeStrasbourg, January 2008 Future
work Can we neglect the temperature differences caused by the phase
transition? Close the averaged system of balance laws Investigate
the droplet system