Dynamic phase transitions in a van der Waals fluid
نویسندگان
چکیده
منابع مشابه
Multidimensional Stability of Subsonic Phase Transitions in a Non-Isothermal Van Der Waals Fluid
We show the multidimensional stability of subsonic phase transitions in a non-isothermal van der Waals fluid. Based on the existence result of planar waves in our previous work [1], a jump condition is posed on non-isothermal phase boundaries which makes the argument possible. Stability of planar waves both in one dimensional and multidimensional spaces are proved.
متن کاملDynamic van der Waals theory.
We present a dynamic van der Waals theory starting with entropy and energy functional with gradient contributions. The resultant hydrodynamic equations contain the stress arising from the density gradient. It provides a general scheme of two-phase hydrodynamics involving the gas-liquid transition in nonuniform temperature. Some complex hydrodynamic processes with evaporation and condensation ar...
متن کاملPeriodic Structures in a Van Der Waals Fluid
A system of partial differential equations modeling a van der Waals fluid or an elastic medium with nonmonotone pressure-density relation is studied. As the system changes type, regularizations are considered. The existence of one-dimensional periodic travelling waves with prescribed average density in a certain range, average velocity, and wavelength is proved. They exhibit layer structure whe...
متن کاملThermohydrodynamics of boiling in a van der Waals fluid.
We present a modeling approach that enables numerical simulations of a boiling Van der Waals fluid based on the diffuse interface description. A boundary condition is implemented that allows in and out flux of mass at constant external pressure. In addition, a boundary condition for controlled wetting properties of the boiling surface is also proposed. We present isothermal verification cases f...
متن کاملAbrupt transitions in physics and biophysics: van der Waals revisited.
An iteration procedure that relates pressure and volume changes in the condensation of a gas by means of two independent relations of the volume and the effective pressure predicts abrupt volume transitions similar to those experimentally observed. Similar abrupt transitions are predicted for a molecular association in which the association free energy is dependent upon the extent of reaction. ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1984
ISSN: 0022-0396
DOI: 10.1016/0022-0396(84)90130-x