Mass and heat transfer resistivities at liquid–vapor interfaces: Beyond the ideal gas

The classical Hertz–Knudsen–Schrage (HKS) model for non-equilibrium mass and heat transfer across liquid–vapor interfaces is extended to account for real gas effects and non-linearity. Specifically, the HKS relations are re-derived for a temperature and velocity dependent condensation coefficient (Tsuruta et al., 1999) and combined with real gas property relations derived from the Enskog–Vlasov (EV) equation (Struchtrup and Frezzotti, 2022). The resulting non-linear Tsuruta–EV–HKS model is valid for mass and heat transfer up to the critical point. The resulting interfacial resistivities exhibit marked dependence on temperature, with resistivities strongly decreasing towards the critical point, as well as non-linear dependence on mass and heat flux. • Hertz–Knudsen–Schrage model extended to real gas vapors and non-linear transport. • Evaporation and heat transfer resistivities vanish towards the critical point. • Non-linearities affect interface resistance. • Molecular Dynamics simulations show similar trends. • Marked temperature dependence and non-linearity affect experiments and simulations.

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Publication Details

Journal
International Journal of Heat and Mass Transfer
Published
2025-10-13
DOI
https://doi.org/10.1016/j.ijheatmasstransfer.2025.127943
Citations
2
Primary Topic
nanoparticles nucleation surface interactions
Type
article
Field-Weighted Citation Impact
2.60
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article

Mass and heat transfer resistivities at liquid–vapor interfaces: Beyond the ideal gas

Henning Struchtrup
2 citations
International Journal of Heat and Mass Transfer
nanoparticles nucleation surface interactions
2.60
article

Mass and heat transfer resistivities at liquid–vapor interfaces: Beyond the ideal gas

Henning Struchtrup
article en
2 citations

Abstract

The classical Hertz–Knudsen–Schrage (HKS) model for non-equilibrium mass and heat transfer across liquid–vapor interfaces is extended to account for real gas effects and non-linearity. Specifically, the HKS relations are re-derived for a temperature and velocity dependent condensation coefficient (Tsuruta et al., 1999) and combined with real gas property relations derived from the Enskog–Vlasov (EV) equation (Struchtrup and Frezzotti, 2022). The resulting non-linear Tsuruta–EV–HKS model is valid for mass and heat transfer up to the critical point. The resulting interfacial resistivities exhibit marked dependence on temperature, with resistivities strongly decreasing towards the critical point, as well as non-linear dependence on mass and heat flux. • Hertz–Knudsen–Schrage model extended to real gas vapors and non-linear transport. • Evaporation and heat transfer resistivities vanish towards the critical point. • Non-linearities affect interface resistance. • Molecular Dynamics simulations show similar trends. • Marked temperature dependence and non-linearity affect experiments and simulations.

International Journal of Heat and Mass TransferVol. 256
University of Victoria (CA)
Openalex Percentile: Top 9%
nanoparticles nucleation surface interactions
2.60
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Mass and heat transfer resistivities at liquid–vapor interfaces: Beyond the ideal gas — Henning Struchtrup · International Journal of Heat and Mass Transfer (2025) | TGRS Research Map | TGRS