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Power and Thermal Efficiency Optimization of an Irreversible Steady-Flow Lenoir Cycle

Authors:	Ruibo Wang Yanlin Ge Lingen Chen Huijun Feng Zhixiang Wu

Institution:	1.Institute of Thermal Science and Power Engineering, Wuhan Institute of Technology, Wuhan 430205, China; (R.W.); (Y.G.); (H.F.); (Z.W.);2.School of Mechanical & Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, China

Abstract:	Using finite time thermodynamic theory, an irreversible steady-flow Lenoir cycle model is established, and expressions of power output and thermal efficiency for the model are derived. Through numerical calculations, with the different fixed total heat conductances ( $U_{T}$ ) of two heat exchangers, the maximum powers ( $P_{\max}$ ), the maximum thermal efficiencies ( $η_{\max}$ ), and the corresponding optimal heat conductance distribution ratios ( $u_{L_{P} (o p t)}$ ) and ( $u_{L_{η} (o p t)}$ ) are obtained. The effects of the internal irreversibility are analyzed. The results show that, when the heat conductances of the hot- and cold-side heat exchangers are constants, the corresponding power output and thermal efficiency are constant values. When the heat source temperature ratio ( $τ$ ) and the effectivenesses of the heat exchangers increase, the corresponding power output and thermal efficiency increase. When the heat conductance distributions are the optimal values, the characteristic relationships of $P - u_{L}$ and $η - u_{L}$ are parabolic-like ones. When $U_{T}$ is given, with the increase in $τ$ , the $P_{\max}$ , $η_{\max}$ , $u_{L_{P} (o p t)}$ , and $u_{L_{η} (o p t)}$ increase. When $τ$ is given, with the increase in $U_{T}$ , $P_{\max}$ and $η_{\max}$ increase, while $u_{L_{P} (o p t)}$ and $u_{L_{η} (o p t)}$ decrease.

Keywords:	finite time thermodynamics irreversible Lenoir cycle cycle power thermal efficiency heat conductance distribution performance optimization

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