Analysis of a Liquid Vapor Phase Change by the Methods of Irreversible Thermodynamics

1967 ◽  
Vol 34 (4) ◽  
pp. 840-846 ◽  
Author(s):  
W. J. Bornhorst ◽  
G. N. Hatsopoulos

The object of this theoretical investigation is to obtain a set of equations which will predict the behavior of a fluid as it changes phase. Irreversible thermodynamics is employed to obtain general rate equations which relate the fluxes and forces across the nonequilibrium region existing at a phase interface. Both plane and spherical interfaces are considered. Experimental means for determining the three transport coefficients which appear in the resulting equations are discussed. Approximate values for the transport coefficients are obtained from kinetic theory arguments. The present analysis is limited to phase-change problems which may be described by linear phenomenological equations; this is so when the change in the driving potentials is small as compared to their value on either side of the phase interface. This restriction is necessary since presently no general theory exists for nonlinear rate processes.

1972 ◽  
Vol 94 (3) ◽  
pp. 257-261 ◽  
Author(s):  
R. R. Adt ◽  
G. N. Hatsopoulos ◽  
W. J. Bornhorst

The object of this work is to determine the transport coefficients which appear in linear irreversible-thermodynamic rate equations of a phase change. An experiment which involves the steady-state evaporation of mercury was performed to measure the principal transport coefficient appearing in the mass-rate equation and the coupling transport coefficient appearing in both the mass-rate equation and the energy-rate equation. The principal transport coefficient σ, usually termed the “condensation” or “evaporation” coefficient, is found to be approximately 0.9, which is higher than that measured previously in condensation-of-mercury experiments. The experimental value of the coupling coefficient K does not agree with the value predicted from Schrage’s kinetic analysis of the phase change. A modified kinetic analysis in which the Onsager reciprocal law and the conservation laws are invoked is presented which removes this discrepancy but which shows that the use of Schrage’s equation for predicting mass rates of phase change is a good approximation.


2021 ◽  
Vol 170 ◽  
pp. 107159
Author(s):  
Md Muntasir Alam ◽  
Md Shajedul Hoque Thakur ◽  
Mahmudul Islam ◽  
Mohammad Nasim Hasan ◽  
Yuichi Mitsutake ◽  
...  

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