Surface Conditions for the Liquid-Vapor System, Taking into Account Entropy Production Caused by Mass and Energy Transport across the Interface

Meinhold-Heerlein, L.

doi:10.1103/physreva.8.2574

Cited by 11 publications

(2 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This implies that significant deviations from statistical equilibrium are restrained by a sufficient dominance of molecular collisional effects (Defay et al, 1976). The interface is assumed to divide the system into two continuous partial systems, and the possibility of surface entropy sources is considered (Meinhold-Heerlein, 1973).…”

Section: Thermodynamic Formulationmentioning

confidence: 99%

Formulation of steady-state void fraction through the principle of minimum entropy production

Giannetti

Saito

Yoshimura

2020

JTST

View full text Add to dashboard Cite

The complexity of the actual operation of thermal engineering systems comprises multiphase interfacial phenomena evolving out of equilibrium. Therefore, their generalised formulation can contribute towards better understanding and control of these phenomena, eventually pushing the existing related technologies beyond the state-of-the-art. In this respect, variational principles are significant for a more comprehensive physical representation and for closing the problem, while obtaining relatively simpler mathematical formulations. In this study, a general variational formulation of dissipative two-phase flows based on the minimum entropy production is developed. In particular, this study provides a general expression of the entropy generation rate, which introduces interfacial contributions due to surface tension between different phases, and is used to estimate two-phase flow fraction based on Prigogine's theorem of minimum entropy generation. Subsequently, this formulation is investigated in terms of different assumptions and pressure drop models, and employed to clarify the implementation of Prigogine's theorem to obtain the widely-accepted Zivi's expression of void fraction and the effect of different assumptions on the deviation from his expression. A new expression is finally obtained to cover laminar flow conditions, which are implicitly excluded from the applicability of Zivi's expression.

show abstract

Section: Thermodynamic Formulationmentioning

confidence: 99%

Formulation of steady-state void fraction through the principle of minimum entropy production

Giannetti

Saito

Yoshimura

2020

JTST

View full text Add to dashboard Cite

show abstract

“…parallel to the interface ⊥ normal to the interface terfacial layer", Ishii [28], Gogosov [29], Sanfeld and Steinchen [30] utilize true quantities, and on the contrary, Landau and Lifschitz, Meinhold and Heerlein [31] excess quantities. The concept of dividing surface was utilized by Gibbs [32], Slattery [33], Defay et al [34].…”

Section: Introductionmentioning

confidence: 99%

Thick fluid interface modeling

Prud'Homme

Gatignol

2004

International Journal of Thermal Sciences

View full text Add to dashboard Cite

Basic concepts of interface and interfacial layer are first introduced. Orthogonal curvilinear coordinate analysis, used to study interfacial zones depending of time, is presented. Classical 3D and 2D thermodynamical relations are reminded and second gradient formulation is introduced. General balance laws are written inside the interfacial layer and then, by using an asymptotic approach, balance laws are obtained for interfaces. The constitutive relations are deduced from thermodynamics of irreversible processes. More or less classical examples are given to illustrate the purpose.

show abstract

Sound conversion phenomena at the free surface of liquid helium. I. Calculation of the coefficients of reflection, transmission, and transformation of sound waves incident on the liquid-vapor interface of helium

Wiechert

Buchholz

1980

J Low Temp Phys

View full text Add to dashboard Cite

On the basis of a set of boundary conditions describing quite generally mass and energy transport processes across the free surface of helium II, the acoustic coefficients of reflection, transmission, and transformation of first sound, second sound, and the sound wave propagating in the vapor are calculated in the case of perpendicular incidence of sound waves against the liquid-vapor phase boundary. Considering rigorously the influences of the Onsager surface coefficients, the isobaric thermal expansion coefficients, and the thermal conductivities of the liquid and the ,Japor, we derive sets of equations from which the acoustic coefficients are determined numerically. For estimations, simple explicit formulas of the acoustic coefficients are given. It is shown that the evaporation and energy transport processes occurring at the free surface of helium H due to the incidence of sound waves may be connected with appreciable energy dissipation. The surface absorption coefficients of first, second, and gas sound waves are deduced.

show abstract

Surface Conditions for the Liquid-Vapor System, Taking into Account Entropy Production Caused by Mass and Energy Transport across the Interface

Cited by 11 publications

References 9 publications

Formulation of steady-state void fraction through the principle of minimum entropy production

Formulation of steady-state void fraction through the principle of minimum entropy production

Thick fluid interface modeling

Sound conversion phenomena at the free surface of liquid helium. I. Calculation of the coefficients of reflection, transmission, and transformation of sound waves incident on the liquid-vapor interface of helium

Contact Info

Product

Resources

About