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Purpose

To give a new method to calculate the thermal conductivity of thin films which thickness is less than micro‐nanometer when non‐Fourier effect will appear in heat conduction and Fourier law is not applicable for calculating the thermal conductivity.

Design/methodology/approach

The Cattaneo equation based on the heat flow relaxation time approximation is used to calculate the thermal conductivity.

Findings

The results show that the thermal conductivity is not the thermophysical properties of material, but is the non‐linear function of temperature and film thickness when the dimension of film is less than micro‐nanometer.

Research limitations/implications

The application of this method is limited by little experimental data of heat flow relaxation time for materials other than Ar crystals.

Originality/value

The paper demonstrates how the thermal conductivity of Ar crystals film can be calculated by NEMD algorithm and considers the non‐Fourier effect in the simulation.

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