Abstract
Korteweg’s theory of capillarity [13.1, 2] has recently been used to find conditions for equilibrium between liquid and vapor phases of a van der Waals fluid (see [13.3]). Subsequently Slemrod [13.4] extended this approach to study dynamic changes of phase in a van der Waals fluid, under the assumption of isothermal motion. This study was further extended by Hagan and Slemrod in [13.5]. The next logical step was to drop the assumption of isothermal motion. This was done for a van der Waals fluid in a paper by Slemrod [13.6]. He showed the existence of a shock layer that converts vapor to liquid and the existence of a shock layer that converts liquid to vapor, under assumptions that render the motion nearly isothermal. These assumptions are that the specific heat capacity at constant volume is large, the coefficients of heat conduction and viscosity are of the same small order µ, and the coefficients in the capillarity terms of the stress are of order µ 2.
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References
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© 1986 Springer-Verlag Berlin Heidelberg
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Hagan, R., Serrin, J. (1986). Dynamic Changes of Phase in a van der Waals Fluid. In: Serrin, J. (eds) New Perspectives in Thermodynamics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-70803-9_13
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DOI: https://doi.org/10.1007/978-3-642-70803-9_13
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