The local stability analysis for an irreversible compression heat pump working at the maximum ecological coefficient of performance (ECOP) is presented in this paper. The model considered includes irreversibility due to heat leakage, heat transfer coefficient and internal dissipations of the working fluid. By using Newton’s heat transfer laws and linearization method of stability analysis, we derived expressions of the relaxation times of the irreversible heat pump at the steady-state of the maximum ECOP function. The relaxation times depend on both internal and external irreversibilities. The influence of internal irreversibility, heat resistances and heat leakage coefficient on relaxation times is discussed. The phase portrait of the system clearly shows an exponential decay of the trajectories of phase indicating that, after a small perturbation, the system returns to its steady-state. The results obtained in this work should be considered while conceiving real compression heat pumps.

irreversible compression heat pump, ecological coefficient of performance, Newton’s heat transfer laws, local stability, steady-state.

Recieved: December 11, 2020; Revised: December 23, 2020; Accepted: January 6, 2021; Published: March 18, 2021

How to cite this article: Paiguy Armand, Ngouateu Wouagfack, Gaëlle Fouodji Keune and Réné Tchinda, Effects of Internal and External Irreversibilities on the Local Stability of an Irreversible Compression Heat Pump Operating at the Maximum Ecological Coefficient of Performance, Advances and Applications in Fluid Mechanics 26(1) (2021), 25-48. DOI: 10.17654/FM026010025

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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