Maximum power density for an endoreversible carnot heat engine

A Finite-Time Thermal Cycle Variational Optimization with a Stefan–Boltzmann Law for Three Different Criteria

“…Equations (48) and (49) are in a good concordance with equations (14) and (15) in [35]. Besides, taking Equation (48) for n = 1 and substituting T h and T l from Equations (46) and (49), we can obtain λ, which has the following form…”

“…The initial terms on the right hand side are similar to the thermal conductance of the walls where the working fluid is enclosed, but including the engine size [35]. Then, we can write the power of the cycle aṡ…”

“…In order to verify Equation (46), we take again n = 1, which has been studied in [35]. For this specific case, Equation (46) demonstrates…”

“…However, none of these performance analyses include the effects of engine size. To include the size of the engine, Sahin et al [35] suggested a new criterion called maximum power density analysis. In their work, Sahin et al obtained two important results.…”

“…, that the total thermal conductance is constrained [35,36]), U H and U L are the overall heat transfer coefficients and A H and A L are the heat transfer areas on the high and low temperature sides, respectively.…”