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The study aims to establish a rigorous continuum non-equilibrium thermodynamics framework for deriving boundary conditions and coupled cross phenomena at fluid interfaces.

August 1, 1967Zeitschrift für Naturforschung AOpen Access

Non-Equilibrium Thermodynamics of Boundary Conditions

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The study aims to establish a rigorous continuum non-equilibrium thermodynamics framework for deriving boundary conditions and coupled cross phenomena at fluid interfaces.
Applied Navier-Stokes and Fourier equations combined with Maxwell's thermal slip and surface heat flow linked by Onsager relations in a cylindrical capillary geometry.
Formulated continuum non-equilibrium thermodynamics for an interface between two immiscible viscous, heat-conducting fluids under conservation of mass, momentum, angular momentum, and energy.
Derived general expressions for interfacial entropy production under two cases: without and with two-dimensional interfacial flows of momentum and energy.
In interfaces lacking two-dimensional surface transport, local boundary conditions simplify strictly to mechanical slip and temperature jump discontinuities.
In interfaces supporting two-dimensional momentum and energy flows, coupled cross phenomena emerge directly, including thermal slip, mechanical surface heat flow, and thermal surface heat flow.
The continuum thermodynamics derivation generalises and confirms earlier thermo-hydrodynamic capillary models through interfacial entropy production analysis.

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Implication

Theoretical analysis demonstrates interfacial cross phenomena in viscous fluids, highlighting generalized thermodynamic boundary conditions.

Cite This Study

L. Waldmann (1967) studied this question.

synapsesocial.com/papers/6a110dd81457680e71f344cf https://doi.org/10.1515/zna-1967-0820

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Implication

Theoretical analysis demonstrates interfacial cross phenomena in viscous fluids, highlighting generalized thermodynamic boundary conditions.

Non-Equilibrium Thermodynamics of Boundary Conditions

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Non-Equilibrium Thermodynamics of Boundary Conditions

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