# A Systematic Approach to Exergy Efficiency of Steady-Flow Systems

## TL;DR

This paper provides a unified approach to calculating exergy efficiency for steady-flow systems, reducing confusion from different definitions.

## Contribution

The paper introduces explicit general relations for exergy efficiency across various steady-flow devices and demonstrates equivalence of different forms.

## Key findings

- General exergy efficiency relations are derived for steady-flow systems using two approaches.
- Five equivalent forms of exergy efficiency are developed for power and refrigeration cycles.
- The unified approach resolves controversies surrounding exergy efficiency definitions.

## Abstract

Exergy efficiency is a measure of thermodynamic perfection. A device that operates reversibly has an exergy efficiency of 100 percent and is said to be thermodynamically perfect. A reversible process involves zero entropy generation and thus zero exergy destruction since Xdestroyed = T0Sgen. Exergy efficiency is generally defined as the ratio of exergy output to exergy input ηex = Xoutput/Xinput = 1 − (Xdestroyed + Xloss)/Xinput or the ratio of exergy recovered to exergy expended ηex = Xrecovered/Xexpended = 1 − Xdestroyed/Xexpended. In this paper, exergy efficiency relations are obtained first for a general steady-flow system using both approaches. Then, explicit general relations are obtained for common steady-flow devices, such as turbines, compressors, pumps, nozzles, diffusers, valves and heat exchangers, as well as heat engines, refrigerators, and heat pumps. For power and refrigeration cycles, five different forms of exergy efficiency relations are developed, and their equivalence is demonstrated. With the unified approach presented here and the insights provided, the controversy and confusion associated with different exergy efficiency definitions are largely alleviated.