Abstract A physical model of a mechanical thermal switch at cryogenic temperatures is studied. In the model, heat is transferred due to contact heat conduction in a detachable contact pair of two copper cylinders. A mechanical thermal switch is developed using a cryomagnetic system with a 10-T superconducting solenoid, and the values of thermal contact conductance are determined in a temperature interval of 10–160 K, including values at a magnetic field of 5 T. In an experimental temperature interval of 60–80 K, close to the phase transition of the DyAl2 and GdNi2 compounds, the thermal contact conductance is 2300–3300 W/(m2 K). The effect of magnetic field of up to 5 T on thermal contact resistance is experimentally determined under vacuum conditions.
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