Functional Equations for Calculating the Properties of Low-GWP R1234ze(E) Refrigerant

Legal requirements for the use of refrigerants increasingly restrict the use of high-global warming potential (GWP) refrigerants. As a result, there is a growing interest in natural refrigerants and in those belonging to the hydrofluoroolefins (HFO) class, which can be used on their own or in mixtur...

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Main Authors: Piotr Życzkowski, Marek Borowski, Rafał Łuczak, Zbigniew Kuczera, Bogusław Ptaszyński
Format: Article
Language:English
Published: MDPI AG 2020-06-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/13/12/3052
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spelling doaj-53b8b1ab1f0040708107d469213ecd0a2020-11-25T03:25:22ZengMDPI AGEnergies1996-10732020-06-01133052305210.3390/en13123052Functional Equations for Calculating the Properties of Low-GWP R1234ze(E) RefrigerantPiotr Życzkowski0Marek Borowski1Rafał Łuczak2Zbigniew Kuczera3Bogusław Ptaszyński4Department of Environmental Engineering, AGH University of Science and Technology, 30-059 Krakow, PolandDepartment of Environmental Engineering, AGH University of Science and Technology, 30-059 Krakow, PolandDepartment of Environmental Engineering, AGH University of Science and Technology, 30-059 Krakow, PolandDepartment of Environmental Engineering, AGH University of Science and Technology, 30-059 Krakow, PolandDepartment of Environmental Engineering, AGH University of Science and Technology, 30-059 Krakow, PolandLegal requirements for the use of refrigerants increasingly restrict the use of high-global warming potential (GWP) refrigerants. As a result, there is a growing interest in natural refrigerants and in those belonging to the hydrofluoroolefins (HFO) class, which can be used on their own or in mixtures. One of them is the R1234ze(E) refrigerant, an alternative to the R134a refrigerant as well as being a component of numerous mixtures. The knowledge of thermodynamic and transport properties of refrigerants is required for the analysis and calculation of refrigeration cycles in refrigeration, air conditioning, or heating systems. The paper presents analytical equations for calculating the properties of the R1234ze(E) refrigerant in the state of saturation and in the subcooled liquid and superheated vapour regions that do not require numerical calculations and are characterised by small deviations. The Levenberg–Marquardt algorithm—one of the methods for non-linear least squares estimation—was used to develop them. A total of 26 equations were formulated. The formulated equations were statistically verified by determining absolute and relative deviations between the values obtained from CoolProp software and calculated values. The maximum relative deviation was not higher than 1% in any of them.https://www.mdpi.com/1996-1073/13/12/3052R1234ze(E)low-GWPproperties of refrigerantshydrofluoroolefin (HFO)refrigeration
collection DOAJ
language English
format Article
sources DOAJ
author Piotr Życzkowski
Marek Borowski
Rafał Łuczak
Zbigniew Kuczera
Bogusław Ptaszyński
spellingShingle Piotr Życzkowski
Marek Borowski
Rafał Łuczak
Zbigniew Kuczera
Bogusław Ptaszyński
Functional Equations for Calculating the Properties of Low-GWP R1234ze(E) Refrigerant
Energies
R1234ze(E)
low-GWP
properties of refrigerants
hydrofluoroolefin (HFO)
refrigeration
author_facet Piotr Życzkowski
Marek Borowski
Rafał Łuczak
Zbigniew Kuczera
Bogusław Ptaszyński
author_sort Piotr Życzkowski
title Functional Equations for Calculating the Properties of Low-GWP R1234ze(E) Refrigerant
title_short Functional Equations for Calculating the Properties of Low-GWP R1234ze(E) Refrigerant
title_full Functional Equations for Calculating the Properties of Low-GWP R1234ze(E) Refrigerant
title_fullStr Functional Equations for Calculating the Properties of Low-GWP R1234ze(E) Refrigerant
title_full_unstemmed Functional Equations for Calculating the Properties of Low-GWP R1234ze(E) Refrigerant
title_sort functional equations for calculating the properties of low-gwp r1234ze(e) refrigerant
publisher MDPI AG
series Energies
issn 1996-1073
publishDate 2020-06-01
description Legal requirements for the use of refrigerants increasingly restrict the use of high-global warming potential (GWP) refrigerants. As a result, there is a growing interest in natural refrigerants and in those belonging to the hydrofluoroolefins (HFO) class, which can be used on their own or in mixtures. One of them is the R1234ze(E) refrigerant, an alternative to the R134a refrigerant as well as being a component of numerous mixtures. The knowledge of thermodynamic and transport properties of refrigerants is required for the analysis and calculation of refrigeration cycles in refrigeration, air conditioning, or heating systems. The paper presents analytical equations for calculating the properties of the R1234ze(E) refrigerant in the state of saturation and in the subcooled liquid and superheated vapour regions that do not require numerical calculations and are characterised by small deviations. The Levenberg–Marquardt algorithm—one of the methods for non-linear least squares estimation—was used to develop them. A total of 26 equations were formulated. The formulated equations were statistically verified by determining absolute and relative deviations between the values obtained from CoolProp software and calculated values. The maximum relative deviation was not higher than 1% in any of them.
topic R1234ze(E)
low-GWP
properties of refrigerants
hydrofluoroolefin (HFO)
refrigeration
url https://www.mdpi.com/1996-1073/13/12/3052
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