This paper deals with the control dynamics of transient heat conduction with constant heat flux in a copper rod using simulation tool. The transfer function is taken as first order system plus dead time (FOPDT). The effect of step change in the controller is analysed and it is also observed that the oscillations was decreased and the steady state value reached in a faster rate. For any system the temperature needs to be accurately regulated to control the downstream processing’s. Steady state and dynamic simulation of a copper rod, with constant heat flux has been studied and the simulation results for step change in the transient heat conduction with constant flux have been discussed.