| Abstract: | The pulsed operation of the hot filament gauge according to Pirani offers several advantages: extension of the measuring range towards larger pressures, reduced influence of the gas species, and smaller power consumption. The heating and cooling of the wire has already been experimentally investigated. However, the observed characteristics in its details can not be easily understood. In the present paper, we report on theoretical calculations of the heating and cooling processes of the sensor system consisting of wire and surrounding gas. The processes can be modelled by the Fourier differential equation of heat transport. Calculations can be performed more easily by dividing the interior of the sensor into discrete annular elements and applying the finite‐element‐method under the given boundary conditions. The results provide a quantitative and illustrative presentation of the radial temperature profile of the gas and of its time‐evolution. |
