Efficiency at maximum power output of an irreversible Carnot-like cycle with internally dissipative friction

Abstract

We investigate the efficiency at maximum power of an irreversible Carnot engine performing finite-time cycles between two reservoirs at temperatures $T_h$ and $T_c$ $(T_c<T_h)$, taking into account of internally dissipative friction in two "adiabatic" processes. In the frictionless case, the efficiencies at maximum power output are retrieved to be situated between ${\eta }_{{}_C}/$ and ${\eta }_{{}_C}/(2-{\eta }_{{}_C})$, with ${\eta }_{{}_C}=1-T_c/T_h$ being the Carnot efficiency. The strong limits of the dissipations in the hot and cold isothermal processes lead to the result that the efficiency at maximum power output approaches the values of ${\eta }_{{}_C}/$ and ${\eta }_{{}_C}/(2-{\eta }_{{}_C})$, respectively. When dissipations of two isothermal and two adiabatic processes are symmetric, respectively, the efficiency at maximum power output is founded to be bounded between 0 and the Curzon-Ahlborn (CA) efficiency $1-\sqrt{1-\eta {}_C}$, and the the CA efficiency is achieved in the absence of internally dissipative friction.

References in corpus (5)

• Efficiency at maximum power: An analytically solvable model for stochastic heat engines
• Efficiency at maximum power of Feynman's ratchet as a heat engine
• Coefficient of performance at maximum figure of merit and its bounds for low-dissipation Carnot-like refrigerators
• Molecular kinetic analysis of a finite-time Carnot cycle
• Efficiency at maximum power of thermally coupled heat engines

Cited by in corpus (18)

• Stochastic heat engine with the consideration of inertial effects and shortcuts to adiabaticity
• Low-dissipation Carnot-like heat engines at maximum efficient power
• Coefficient of performance for a low-dissipation Carnot-like refrigerator with nonadiabatic dissipation
• Heat devices in nonlinear irreversible thermodynamics
• From local force-flux relationships to internal dissipations and their impact on heat engine performance: The illustrative case of a thermoelectric generator
• Weighted reciprocal of temperature, weighted thermal flux, and their applications in finite-time thermodynamics
• Achieve Higher Efficiency at Maximum Power with Finite-time Quantum Otto Cycle
• Universality of energy conversion efficiency for optimal tight-coupling heat engines and refrigerators
• Abstract models for heat engines
• A microscopic theory of Curzon-Ahlborn heat engine
• Coefficient of performance under maximum $\chi$ criterion in a two-level atomic system as a refrigerator
• Coefficient of performance at maximum χ-criterion for Feynman ratchet as a refrigerator
• Efficiency at maximum power of thermochemical engines with near-independent particles
• Hidden symmetries and nonlinear constitutive relations for tight-coupling heat engines
• Microscopic low-dissipation heat engine via shortcuts to adiabaticity and shortcuts to isothermality
• Efficiency at the maximum power of the power law dissipative Carnot-like Heat engines with non-adiabatic dissipation
• Retainability of canonical distributions for a Brownian particle controlled by a time-dependent harmonic potential
• Endo-irreversible thermo-mechanical engine with new concept of entropy production action coefficient