线性唯象传热定律下光驱动发动机的最优路径

以存在热漏、摩擦等不可逆性,以双分子反应系统2SO3FS2O6F2为工质的光驱动发动机为研究对象,考虑工质与环境之间传热服从线性唯象传热定律q∝Δ(T-1)],分别以输出功最大和熵产生最小为目标对整个循环活塞运动的最优路径进行研究.利用最优控制理论得出了活塞运动路径及工质温度的最优构型,给出了最优构型的数值算例,并与牛顿传热定律q∝Δ(T)]下的最优构型进行了比较.

Optimal paths for a light-driven engine with a linear phenomenological heat transfer law

An irreversible light-driven engine,in which the heat transfer between the working fluid and the environment obeys a linear phenomenological heat transfer law q ∝ Δ （T^-1）],with a working fluid composed of the bimolecular reacting system 2SO 3 F S 2 O 6 F2 is described in this paper. Piston trajectories maximizing work output and minimizing entropy generation are determined for such an engine with rate-dependent loss mechanisms of friction and heat leakage. Optimal control theory is applied to determine the optimal configurations of piston motion trajectory and the fluid temperature. Numerical examples for optimal configuration are provided,and the obtained results obtained are compared with those derived with Newtonian heat transfer law q ∝ Δ （T ）].