This work presents time-dependent numerical calculations of heat generation and dissipation in targets used in high ion-beam current nuclear astrophysics experiments. The simulation is beneficial for choosing the thickness of targets, maximum ion-beam current and design setup for cooling of such targets. It is found that for the very thin target ( 27 Al(p, p), 12 C(p, p)) heat generation inside target is relatively low and a fair amount of high current (few μA)can be used without any melting issue. But in case of thick targets ( 27 Al(p, γ), 12 C(p, γ)) cooling became essential for the survival of reaction target.