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Updated: Dec 6, 2025

Measurements of Local Instantaneous Convective Heat Transfer in a Pipe - Single and Two-phase Flow
Published on: April 30, 2018
Computing the Heat Conductivity of Fluids from Density Fluctuations.
Bingqing Cheng1, Daan Frenkel2
1TCM Group, Cavendish Laboratory, University of Cambridge, J. J. Thomson Avenue, Cambridge CB3 0HE, United Kingdom and Trinity College, University of Cambridge, Cambridge CB2 1TQ, United Kingdom.
This study introduces a new, unambiguous method for calculating thermal conductivity in fluids, bypassing the heat flux definition issues of the Green-Kubo method. The approach accurately models complex systems like supercritical water and liquid hydrogen.
Area of Science:
- Computational physics
- Materials science
- Chemical engineering
Background:
- Equilibrium molecular dynamics (EMD) with the Green-Kubo (GK) method is standard for liquid thermal conductivity.
- The GK method's reliance on a heat flux definition complicates its use for systems with nonpairwise interactions.
Purpose of the Study:
- To develop an unambiguous method for calculating thermal conductivity in bulk fluids.
- To overcome the limitations of the Green-Kubo method for complex interaction potentials.
Main Methods:
- Utilizing a hydrodynamic description of thermally driven density fluctuations.
- Validating the new method against the Green-Kubo approach for pairwise interacting systems.
Main Results:
- The hydrodynamic method provides unambiguous thermal conductivity calculations, independent of heat flux definitions.
- Consistent results were obtained when comparing with the Green-Kubo method for simple fluids.
- Successfully computed thermal conductivity for supercritical water and high-pressure liquid hydrogen.
Conclusions:
- The hydrodynamic approach offers a robust and unambiguous alternative for thermal conductivity calculations.
- This method is particularly valuable for systems with nonpairwise interactions and complex potentials, such as machine-learned interatomic potentials.
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