Experimental and theoretical investigations of time dependent heat transfer in pressurized He II channel terminated by a copper rod have been carried out. Heat flux is applied in the form of a sinusoidal wave. As the frequency of heat flux increases, the change of copper and He II temperatures converge for the case of constant application of the effective value of heat flux. And no dispersion of Kapitza conductance is observed within the frequency range from 0 to 40Hz. On the basis of the mutual friction counterflow combining with the heat conduction in copper and Kapitza conductance, a one-dimensional heat transfer model has been developed, which can well predict the experimentally obtained time dependent heat transfer characteristics.