A finite-time thermodynamic optimization based on the maximum power density
criterion for an irreversible combined Carnot heat engine model has been c
arried out. The effects of the finite-rate heat transfer, internal irrevers
ibility and heat leak are considered in the analysis. The obtained results
are compared with those results obtained by using the maximum power criteri
on. The design parameters under the optimal conditions were derived analyti
cally and the effects of irreversibilities on the general and the optimal p
erformances are investigated.