Heat transfer during compression and expansion is particularly important in closed-cycle machines such as Stirling engines and pulse-tube refrigerators. It is important to know the temperature profile near the wall by which the heat transmission is determined. The early work measured temperature profile near the wall with a thin (3.8μm diameter) hot-wire censer. But, the measured temperature was affected by the supports of hot-wire censer. Therefore, the effects of supports calculated using control volume method. The parameter of the equation is only the angular frequency divided by the thermal diffusivity, and it is possible to correlate with this value. In the results, dimensionless temperature and the average temperature amplitude of the censer were estimated.