We have constructed and tested a travelling-wave thermoacoustic refrigerator using a coaxial configuration with the regenerator positioned in the annulus. The device was tested using three operating frequencies: 100, 140 and 200 Hz. The rise and descent from an initial temperature were recorded at both ends of the regenerator for 60 minutes. At 100 Hz, temperature rise and descent occurred at both ends of the regenerator, and both ends experienced a rise in temperature at 140 and 200 Hz as well. This is due to the fact that the change in frequency caused a change in the direction of the dominant travelling wave at one end of the regenerator. This causes the heat pumping direction within the regenerator to change as it is dependent on the direction of the dominant travelling wave at that end. At 200 Hz, we have seen that the <i>T</i><sub>1</sub> and <i>T</i><sub>2</sub> temperatures of the regenerator have switched roles as the hot section and cold section compared to their previous conditions at 100 and 140 Hz. This is because the heat pumping due to |<i>w </i><sub>+</sub>| at the <i>T</i><sub>1</sub> end becomes larger than the heat pumping due to |<i>w </i><sub>- </sub>| at the <i>T</i><sub>1 </sub>end.