On the basis of our previous studies in the flow modeling of rarefied gas between coaxial cylinders under different temperature and kinematic boundary conditions, the energy transfer in the system of gas - surrounding cylinders is studied in the radius pulsating of one of the cylinders. The energy transfer is modeled with continuous model based on Navier-Stokes-Fourier equations of motion and a statistical DSMC model. The obtained results show that the external mechanical disturbances in the radial direction influence more significantly the operation of the Pirani gauge when there is a difference in the temperature of the thread and the wall of the outer cylinder. These results make it possible to assess the gauge sensitivity under external mechanical disturbances.

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