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i n t e r n a t i o n a l j o u r n a l o f r e f r i g e r a t i o n 3 2 ( 2 0 0 9 ) 1 4 1 2 – 1 4 2 2
www. i ifi i r .org
ava i lab le at www.sc iencedi rec t .com
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The fluorinated olefin R-1234ze(Z) as a high-temperatureheat pumping refrigerant
J. Steven Browna,*, Claudio Ziliob, Alberto Cavallinib
aDepartment of Mechanical Engineering, Catholic University of America, 620 Michigan Ave., NE, Washington, DC 20064, USAbDipartimento di Fisica Tecnica, Universita di Padova, Padova, 35131, Italy
a r t i c l e i n f o
Article history:
Received 12 November 2008
Received in revised form
13 February 2009
Accepted 8 March 2009
Published online 21 March 2009
Keywords:
Heat pump
Refrigerant
Review
R-1234ze(Z)
Thermodynamic property
* Corresponding author. Tel.: þ1 202 319 517E-mail address: [email protected] (J.S. Bro
0140-7007/$ – see front matter ª 2009 Elsevidoi:10.1016/j.ijrefrig.2009.03.002
a b s t r a c t
Estimates are provided for R-1234ze(Z) of its: (1) critical temperature, pressure, and density,
acentric factor, and ideal gas specific heat at constant pressure, and (2) various thermo-
dynamic and transport properties, which are used to predict the performance potential of
R-1234ze(Z) in high-temperature heat pumping applications. In particular, for an idealized
cycle, the coefficient of performance and volumetric heating capacity for R-114 are 3.24 and
1667 kW m�3, respectively, and for R-1234ze(Z) are 3.40 and 1645 kW m�3, respectively. The
attractiveness of R-1234ze(Z) is confirmed further through heat exchanger simulations.
This paper demonstrates that R-1234ze(Z) deserves further consideration as a possible
R-114 replacement.
ª 2009 Elsevier Ltd and IIR. All rights reserved.
Le R-1234ze(Z) : un olefine fluore utilise dans les applicationshaute temperature des pompes a chaleur
Mots cles : Pompe a chaleur ; Frigorigene ; Enquete ; R-1234ze(Z) ; Propriete thermodynamique
1. Introduction
R-114, a refrigerant that has been widely used in high-
temperature heat pumping applications, has an ozone
depletion potential (ODP) of 1 (EPA, 2009) and a global warming
potential (GWP) of 10,400 (EPA, 2009). Because of its ODP, it is
a regulated substance as per the Montreal Protocol (1987).
While R-114 has been replaced in some applications with
R-134a, R-227ea, R-236fa, or R-245fa, for example, there is no
0; fax: þ1 202 319 5173.wn).
er Ltd and IIR. All rights
clear and obvious substitute for R-114 since these refrigerants
all have relatively large GWPs and R-134a and R-227ea have
relatively low critical point temperatures, limiting their
applicability to lower-temperature applications. Thus,
a search for acceptable R-114 replacement refrigerants
continues. For example, Devotta and Rao Pendyala (1994)
investigated 30 potential substitutes for R-114 and identified
R-143 and R-E134 as the most promising candidates; Rakhesh
et al. (2003) investigated R-227ea as a substitute for R-114 in
reserved.
Nomenclature
COP Coefficient of performance
cp specific heat at constant pressure (kJ kg�1 K�1)
cop ideal gas specific heat at constant pressure
(kJ kg�1 K�1)
e % relative error, ðyp � ykÞ=yk � 100
ea mean absolute error,Pn
i¼1 jeij=ner mean relative error,
Pni¼1 ei=n
GWP global warming potential
h specific enthalpy (kJ kg�1or kJ kmol�1)
M molar mass (kg kmol�1)
NBP normal boiling point temperature (K)
ODP ozone depletion potentinal
P pressure (kPa)
PF penalty factor (a performance evaluation
criterion)
Pr Prandtl number
Q heat transfer rate (kW)
R specific gas constant (kJ kg�1 K�1)
s specific entropy (kJ kg�1 K�1 or kJ kmol�1 K�1)
T temperature (�C or K)
VCC volumetric cooling capacity (kJ m�3)
VHC volumetric heating capacity (kJ m�3)
y property value, e.g., P, T, l, .
Z compressibility factor
g surface tension (N m�1)
l thermal conductivity (W m�1 K�1)
m dynamic viscosity (mPa s)
u acentric factor
r density (kg m�3)
s standard deviation
Subscripts
c critical
cond condenser
evap evaporator
f saturated liquid
fg difference between saturated vapor and saturated
liquid property values
g saturated vapor
k known value
p predicted value
r reduced value
sub subcooling
sup superheat
i n t e r n a t i o n a l j o u r n a l o f r e f r i g e r a t i o n 3 2 ( 2 0 0 9 ) 1 4 1 2 – 1 4 2 2 1413
heat pumps with evaporating temperatures above 30 �C and
condensing temperatures up to 85 �C; Toms et al. (2004) report
on U.S. Navy activities to replace R-114 with R-236fa; and
Brown (in press) investigated 53 potential R-114 replacements
and identified 15 of these as warranting further investigation.
Recently, research and development activity has been
initiated and is ongoing to investigate fluorinated propene
isomers as potential refrigerants possessing low GWPs. The
catalyst for much of this effort can be attributed to European
regulations regarding the use of R-134a in automotive appli-
cations. In particular, the European Union’s f-gas regulations
(Regulation (EC) No 842/2006 and Directive 2006/40/EC) specify
beginning on January 1, 2011 new models and on January 1,
2017 new vehicles fitted with air-conditioning cannot be
manufactured with fluorinated greenhouse gases having
global warming potentials (GWP) greater than 150. Ongoing
research and development efforts by chemical manufacturers
have identified that, from among the fluorinated propene
isomers, the most promising R-134a replacement fluid is R-
1234yf (e.g., Spatz and Minor, 2008). However, there are other
potential applications for fluorinated propene isomers beyond
the automotive industry. For example, the civilian aircraft
industry is moving towards the replacement of hydraulic
power and control systems with power electronic systems. To
realize this goal many issues remain to be resolved; however,
among the challenges, one of the most difficult is the
management of thermal loads. This is because as the number
of electrical and electronic systems increase, their physical
sizes decrease, and the spacing between electrical compo-
nents decrease, both the total amount of heat generated (and
thus which needs to be dissipated) and the power density (the
heat generated per unit volume) increase significantly. One
approach for solving this problem could be to use vapor
compression refrigeration cycles to manage the thermal
loads, requiring refrigerants appropriate for civilian aircraft
that have little to no toxicity, are essentially nonflammable,
and which have low GWP. Thus, the newly developed fluori-
nated propene isomers, among which is R-1234ze(Z), could be
potentially interesting for these civilian aircraft applications
where the sink temperatures can be as high as 70 �C.
This paper investigates one of the fluorinated propene
isomers, namely, R-1234ze(Z) as a potential refrigerant for use
in high-temperature heat pumping applications. (The reader
can consult ASHRAE (2008) for the naming convention for the
fluorinated propene series.) While little thermodynamic and
transport property data are available in the open literature for
R-1234yf (the most actively investigated fluorinated propene
isomer), an even scarcer amount of data are available in the
open literature regarding the other, less studied, fluorinated
propene isomers, including R-1234ze(Z). Thus, to begin, this
paper uses the methodologies illustrated in Brown (2007a–c,
2008, in press) to predict the thermodynamic property values
of R-1234ze(Z) knowing only its normal boiling point temper-
ature (NBP) and its structural formula, and provides in Section
2.2 several methodologies for estimating the transport prop-
erties of R-1234ze(Z).
Briefly, the paper proceeds as follows. Sections 2.1 and 2.2
present methodologies for predicting thermodynamic and
transport properties of not-so-well-defined refrigerants (ones
where little or no thermodynamic or transport property data
are known). Then, to demonstrate the capabilities of these
methodologies, Sections 2.3 and 2.4 provide comparisons
between predicted property values and known property
values for a group of 28 well-defined refrigerants. Sections 3.1
and 3.2 discuss approaches for evaluating the performance
potential of refrigerants first in an idealized vapor compres-
sion refrigeration cycle and secondly by considering non-ideal
behavior in the evaporator and in the condenser. Then,
i n t e r n a t i o n a l j o u r n a l o f r e f r i g e r a t i o n 3 2 ( 2 0 0 9 ) 1 4 1 2 – 1 4 2 21414
Section 4 proceeds to analyses for R-1234ze(Z). In particular, to
demonstrate the accuracy and usefulness of the estimation
techniques of Section 2.1, Section 4.1 uses these techniques to
estimate the thermodynamic properties of R-1234yf and
compares them with published values. Sections 4.2–4.4
compare the fundamental thermodynamic parameters, ther-
modynamic properties, and transport properties of R-114 and
R-1234ze(Z). Section 4.5 compares the performance of R-114
and R-1234ze(Z) in an idealized vapor compression refrigera-
tion cycle. Section 4.6 compares the performance of R-114 and
R-1234ze(Z) in a non-ideal evaporator and in a non-ideal
condenser. Section 4.7 discusses the environmental charac-
teristics, flammability, and toxicity of R-114 and R-1234ze(Z).
Finally, Section 5 presents conclusions.
2. Estimating properties
2.1. Thermodynamic properties
If little experimental data are available for a refrigerant,
a simple, fast, and accurate approach for estimating thermo-
dynamic properties is to use group contribution methods
coupled with a simple cubic equation of state. Brown (2007a)
demonstrated the ease of implementing such an approach by
using several group contribution techniques coupled with the
Peng–Robinson Equation of State (P–R EoS) contained in
REFPROP 8.0 (Lemmon et al., 2007). In order to use the P–R EoS,
one needs to know values for the thermodynamic parameters
critical temperature (Tc), critical pressure (Pc), critical density
(rc), acentric factor (u), and ideal gas specific heat at constant
pressure ðcopÞ. For not-so-well-defined fluids, most, if not all, of
these are unknown and thus one must resort to estimating
them using group contribution techniques based only on the
fluid’s NBP and its structural formula. To this end, one could:
(1) use the group contribution method of Ambrose (Reid et al.,
1987) to predict Tc, Pc, and rc, (2) use the technique given in
Poling et al. (2001) to calculate u, and (3) use the group
contribution method of Joback (Poling et al., 2001) to deter-
mine cop. Then, the P–R EoS implemented in REFPROP 8.0
(Lemmon et al., 2007) could be used to determine the neces-
sary thermodynamic properties, e.g., T, P, r, h, s, and cp,g. For
cp,f, one either could use the same method described above or
one could obtain somewhat better predictions by using the
modified Bondi method described in Poling et al. (2001).
An approach that provides somewhat more accurate
results than the one described above and thus the one rec-
ommended by the current authors is to follow the approach of
Brown (2007b). In particular, he showed that Tc and rc
predictions are generally more accurate than the Pc predic-
tions, with absolute errors (ea) being 0.7%, 2.4%, and 7.7%,
respectively, for the group of refrigerants of Saleh and
Wendland (2006). Because of this, Brown (2007b) used Tc and rc
group contribution estimates to predict Pc through the critical
compressibility factor:
Zc ¼Pc
rcRTc
(1)
where Zc is a function of Tc, Pc and M, and R is the specific gas
constant. Zc typically ranges in value from 0.22 to 0.30 for
a wide range of fluids (Wark, 1995). Brown (2007b) used a group
of 42 typical refrigerants and their known values of Tc, Pc and
rc to calculate Zc, resulting in a mean value of 0.27, a minimum
value of 0.24, a maximum value of 0.28 and a standard devi-
ation of 0.012. Therefore, the approach recommended by the
authors of this paper is to: (1) use the group contribution
method of Ambrose (Reid et al., 1987) to predict Tc and rc, (2)
use Eq. (1) to predict Pc, (3) use the technique given in Poling
et al. (2001) to calculate u, and (4) use the group contribution
method of Joback (Poling et al., 2001) to determine cop. Then, the
P–R EoS implemented in REFPROP 8.0 (Lemmon et al., 2007)
can be used to determine the necessary thermodynamic
properties.
2.2. Transport and other properties
For not-so-well-described fluids, it is unusual to find transport
property data published in the open literature. Thus, one
almost certainly will need to resort to estimation techniques,
which require little thermodynamic property data as input. In
fact, the objective of this subsection is to highlight some
appropriate models for the estimation of transport properties.
In particular, the liquid thermal conductivity (lf) can be esti-
mated using the method of Latini et al. (Poling et al., 2001), the
vapor thermal conductivity (lg) can be estimated using the
method of Chung et al. (Poling et al., 2001), the liquid dynamic
viscosity (mf) can be estimated using the group contribution
method of Sastri and Rao (2000) and Poling et al. (2001), the
vapor dynamic viscosity (mg) can be estimated using the
method of Chung et al. (Poling et al., 2001), and the liquid
surface tension (g) can be estimated using the method of
Sastri and Rao (Poling et al., 2001). Note: if one knows one
experimental value for lf, improved predictions over those of
Latini et al. (Poling et al., 2001) can be made using Latini (2008).
A further note: the thermodynamic properties needed to make
lf, lg, mf, mg, and g predictions all can be estimated following
the approach described in the previous subsection.
2.3. Errors in property predictions
As an example, Table 1a shows relative errors (er) for ther-
modynamic and transport properties for a group of 28 of the 36
refrigerants of Saleh and Wendland (2006) at a reduced
temperature (Tr) of 0.70. Table 1b then shows for the group of
28 refrigerants, ea, er, and standard deviation (s) values at
Tr¼ 0.70 and Tr¼ 0.90. Note: only 28 refrigerants of the original
36 are included since they are well-described and are con-
tained in REFPROP 8.0 (Lemmon et al., 2007); whereas the
remaining eight refrigerants are not as well described and do
not make up part of the database of REFPROP 8.0.
2.4. Discussion
Generally, errors for the predicted values of the saturation
thermodynamic properties P, r, hfg, sfg, and cp,f are within
a few percent of known values over the temperature range
from Tr¼ 0.60 to Tr¼ 0.90. The predictions for cp,g are some-
what larger, though this property plays a less significant role
in estimating heat transfer effects than does cp,f. The errors for
the thermodynamic saturation properties begin to increase
Table 1a – Relative errors for thermodynamic and transport properties for 28 refrigerants of Saleh and Wendland (2006) atTr [ 0.70.
P rl rv hfg sfg cp,l cp,v ll lv ml mv sl
R-11 �2.0 4.7 �2.4 1.2 1.2 0.9 �8.3 1.4 �7.4 14.4 10.6 0.7
R-12 �2.2 4.6 �2.6 0.6 0.6 0.6 �6.1 5.7 �5.7 15.4 10.5 2.3
R-22 �3.9 1.4 �5.0 0.5 0.5 4.3 �2.8 7.6 6.1 7.1 4.0 �2.3
R-32 �3.1 �1.4 �6.3 4.6 4.6 8.5 �18.5 �26.6 8.5 29.3 0.8 �4.0
R-41 0.6 �0.1 �2.9 7.0 7.0 7.3 �32.0 �29.8 �12.7 �11.9 8.5 5.8
R-114 �1.8 3.2 �1.6 �0.1 �0.1 �3.8 �7.6 11.9 �7.2 28.4 6.8 3.3
R-123 �2.5 1.9 �3.5 0.5 0.5 0.6 �3.1 5.7 �1.2 �0.8 �0.2 2.5
R-124 �3.1 0.9 �3.9 �0.7 �0.6 �1.3 �6.4 2.1 �8.2 �5.8 2.2 �0.5
R-125 �3.8 �1.5 �4.5 �2.3 �2.3 �3.6 �7.3 �6.3 �8.8 �11.7 1.6 �2.9
R-134a �4.1 �0.7 �5.5 �0.4 �0.4 �1.0 �7.8 �8.7 �3.7 �9.0 1.6 �2.7
R-141b �1.6 3.8 �2.3 2.3 2.3 1.5 �8.5 6.2 �11.6 7.1 6.8 0.7
R-142b �1.9 4.0 �3.0 2.3 2.3 0.7 �9.7 6.0 �1.5 �2.1 4.0 2.3
R-143a �2.3 3.5 �4.5 3.0 3.0 0.5 �12.6 2.4 �6.9 �11.2 9.6 17.2
R-152a �2.4 2.1 �4.6 3.6 3.6 5.0 �7.0 0.4 0.4 2.7 4.7 2.8
R-170 �3.2 0.9 �3.3 �2.1 �2.1 �6.3 �16.1 12.3 �13.1 21.5 �2.2 4.8
R-218 �1.2 �1.5 �1.6 �1.3 �1.3 �6.2 �14.2 6.1 �5.1 7.0 0.7 1.4
R-227ea �1.5 �1.9 �2.0 �1.8 �1.8 �3.3 �7.6 �2.5 �14.0 �11.5 1.2 �1.5
R-236ea �2.0 �3.4 �2.8 �1.2 �1.2 �3.0 �7.9 �11.5 �23.2 �15.6 �0.6 �7.7
R-236fa �2.2 �1.0 �2.8 �2.0 �2.0 �3.7 �4.8 �7.5 �8.5 �19.2 1.5 �4.5
R-245ca �2.0 �3.7 �3.2 1.2 1.2 �0.8 �8.5 �13.8 �19.6 �12.9 �1.5 �10.4
R-245fa �2.9 �2.3 �4.4 �1.0 �1.0 0.1 �7.9 �10.2 �11.8 �20.5 0.3 �8.9
R-290 0.1 15.1 �0.8 3.4 3.4 4.2 �3.9 18.2 �6.6 45.2 0.3 8.6
R-600 �2.2 1.3 �2.8 0.2 0.2 1.2 �4.4 14.0 �5.4 2.2 �0.3 4.8
R-600a �2.2 2.3 �2.6 �0.1 �0.1 1.2 �2.9 26.4 �5.1 �8.3 0.8 3.8
R-1270 �3.0 2.4 �3.5 �0.9 �0.9 �2.2 �7.4 1.3 �6.2 �9.0 2.8 3.0
R-C318 �1.7 1.2 �1.5 �3.7 �3.7 �15.7 �19.7 �11.0 �21.0 �0.6 3.5 �3.3
R-13I1 �2.0 5.0 �2.8 0.9 0.9 7.4 �2.7 9.8 0.4 �3.0 10.1 3.3
R-E170 �2.1 2.3 �4.4 3.8 3.8 4.6 �12.7 �1.6 �9.6 4.2 �1.3 7.0
i n t e r n a t i o n a l j o u r n a l o f r e f r i g e r a t i o n 3 2 ( 2 0 0 9 ) 1 4 1 2 – 1 4 2 2 1415
somewhat from Tr¼ 0.90 to Tr¼ 0.95 and begin to increase
more rapidly above Tr¼ 0.95. Although not shown here, ther-
modynamic property predictions in the superheat region are
within a few percent of known values.
On the other hand, errors for the predicted values of the
transport properties l and m are somewhat higher than those
for thermodynamic properties. Generally, the errors are: (1)
within �15% but as high as 30% for lf, (2) 0 to �20% for lg, (3)
within �20% but as high as 40% for mf, and (4) 0 to þ10% for mg.
Finally, errors for the predicted values of g generally are�10%.
Note: as mentioned in Section 2.2, if one knows an experi-
mental value for lf, improved predictions can be made using
Latini (2008). It should be noted, however, that accurate
predictions of the liquid transport properties are more impor-
tant for making good heat transfer and pressure drop estimates
than are accurate predictions of the vapor transport properties.
Table 1b – Errors and standard deviations for thermodynamicTr [ 0.70 and Tr [ 0.90.
P rf rg hfg sfg cp,f
Tr¼ 0.70
ea 2.27 2.79 3.25 1.88 1.88 3.56
er �2.22 1.54 �3.25 0.64 0.63 �0.09
s 1.03 3.63 1.30 2.42 2.42 4.96
Tr¼ 0.90
ea 3.24 5.14 4.05 2.70 2.70 2.70
er �1.89 �4.62 �2.69 1.20 1.20 1.37
s 3.54 3.37 4.31 3.72 3.72 3.45
3. Predicting thermodynamic performance ofrefrigerants
3.1. Idealized performance
Once a refrigerant’s thermodynamic properties are known,
one can estimate its performance potential [coefficient of
performance (COP) and volumetric cooling (or heating)
capacity (VCC or VHC)] in an idealized vapor compression
refrigeration cycle. Brown (2007a) proposed three such meth-
odsdfrom a less accurate one to a more accurate onedwith
each method being based on the P–R EoS. The least accurate
method used group contribution techniques to estimate Tc, Pc,
rc, u, and cop from a refrigerant’s known NBP and its structural
formula. The other two methods used known critical state
and transport properties of the refrigerants of Table 1a at
cp,g lf lg mf mg g
9.23 9.54 8.54 12.05 3.53 4.39
�9.23 0.28 �7.45 1.12 3.09 0.91
6.35 12.45 7.19 15.83 3.90 5.66
16.07 10.86 9.39 14.54 8.38 5.00
�16.07 �7.94 �9.39 11.32 7.13 2.91
6.29 11.25 6.24 15.85 6.19 5.53
Table 2 – Errors and standard deviations for 26refrigerants.
COP VCC
Brown(2007a)
Currentpaper
Brown(2007a)
Currentpaper
ea 2.04 1.74 10.10 3.08
er 1.26 0.93 �6.76 0.17
s 2.74 2.49 10.88 4.17
i n t e r n a t i o n a l j o u r n a l o f r e f r i g e r a t i o n 3 2 ( 2 0 0 9 ) 1 4 1 2 – 1 4 2 21416
properties, with the distinction between the two methods
being that the less accurate of the two used a group contri-
bution method to estimate cop and the more accurate one used
a known cop model. The current paper presents an improved
version (by mainly improving VCC predictions) of the least
accurate of the three methods, which is particularly useful for
not-so-well-described refrigerants, such as R-1234ze(Z). Note:
the least accurate method of Brown (2007a) is the one
described in the first paragraph of Section 2.1 and the
improved version presented in this paper is described at the
end of the same section.
Table 2 summarizes the errors in COP and VCC predictions
for 26 of the 36 refrigerants of Brown (2007a). In particular, the
ea for COP and VCC are 2.04% and 10.10%, respectively, for the
Brown (2007a) predictions and are 1.74% and 3.08%, respec-
tively, using the improved version described at the end of
Section 2.1. Note: only 26 refrigerants are used since they form
part of and fall within the operating limits of the high-accu-
racy database of REFPROP 8.0 (Lemmon et al., 2007) and thus
easily and accurately can be verified. However, to further give
a sense of the possible improvements in VCC predictions
using the approach described above, the remaining nine fluids
(R-744 is excluded since its Tc is too close to the condensing
temperature specified below and thus biases the results) not
contained in REFPROP 8.0 (Lemmon et al., 2007) are compared
with the BACKONE predictions of Saleh and Wendland (2006).
In particular, the ea for COP and VCC are 1.39% and 10.31%,
respectively, for the Brown (2007a) predictions and are 1.35%
and 6.05%, respectively, using the improved version described
at the end of Section 2.1. In each case described above, the COP
and VCC were simulated in the idealized vapor compression
refrigeration cycle of Saleh and Wendland (2006), specified by
a constant condensation temperature of 30 �C, a constant
evaporation temperature of �40 �C, an evaporator superheat
Table 3a – EVAP–COND 2.3 evaporator simulation results using
Qevap (kW) DTsu
Use ofactual
propertyvalues
Use ofpredicted
property values
% Relativeerror in
Qcond
Use of actualpropertyvalues
R-22 3.55 3.58 0.9 17.6
R-32 5.73 6.21 8.3 15.2
R-134a 2.93 3.06 4.5 18.7
R-290 4.86 4.93 1.3 17.4
R-600a 2.54 2.55 0.2 20.2
of 5 �C, a condenser subcooling of 5 �C, a compressor isen-
tropic efficiency of unity, and with no pressure losses in the
heat exchangers.
3.2. Non-ideal performance: heat transfer and pressuredrop effects
An actual refrigeration cycle deviates from ‘‘ideal’’ due to
several exergy losses; for example, heat transfer and pressure
drop effects in the refrigerant lines, heat transfer effects in the
compressor, re-expansion losses in the compressor, pressure
losses across the compressor’s suction and discharge valves,
and heat transfer and pressure drop effects in the heat
exchangers, among others. The heat transfer and pressure
drop effects in the refrigerant lines will not be considered
further here, and the cumulative compressor effects can be
modeled using compressor efficiencies, leaving only heat
transfer and pressure drop effects in the heat exchangers to be
considered in this paper.
In order to assess the performance potentials in an evap-
orator and a condenser, we use the public domain simulation
model EVAP–COND 2.3 (Domanski, 2008), which is a tube-
finned, tube-by-tube simulation model for both the evapo-
rator and condenser. The refrigerant library of EVAP–COND
consists of seven single-component refrigerants (R-22, R-32,
R-134a, R-290, R-600a, R-717, R-744) and four blends (R-404A,
407C, R-410A, R-507A).
To assess the capabilities of the transport property
prediction methodologies described in Section 2.2, this section
compares simulation results for an evaporator and
a condenser (the heat exchangers used are the ones named
EVAP and COND in EVAP–COND’s library). Two sets of simu-
lations are made for five single-component refrigerants (R-22,
R-32, R-134a, R-290, R-600a), namely: (1) using EVAP–COND’s
default fluid properties and (2) using thermodynamic and
transport properties estimated using the methodologies
described at the end of Section 2.1 and in Section 2.2.
Table 3 presents the simulation results for the evaporator
and the condenser. The operating conditions used in the
simulations are not reported since they are of secondary
importance. The point of the simulation results in this
subsection is not the absolute results, but rather is to
demonstrate the ability of and the usefulness of the property
prediction methodologies to be used in a heat exchanger
actual property values and using predicted property values.
p (�C) DPevap (kPa)
Use ofpredicted
property values
Use of actualpropertyvalues
Use ofpredicted
property values
% Relativeerror inDPcond
17.8 26.6 27.6 3.7
14.6 26.2 36.5 39.3
20.3 28.9 38.8 34.3
17.4 28.2 29.0 2.8
20.1 25.1 24.7 �1.6
Table 3b – EVAP–COND 2.3 condenser simulation results using actual property values and using predicted property values.
Qcond (kW) DTsub (�C) DPcond (kPa)
Use of actualpropertyvalues
Use ofpredictedpropertyvalues
% relativeerror in
Qcond
Use of actualpropertyvalues
Use ofpredictedpropertyvalues
Use ofactual
propertyvalues
Use ofpredictedpropertyvalues
% Relativeerror inDPcond
R-22 8.67 8.73 0.7 9.2 9.1 32.3 35.4 9.6
R-32 11.98 12.62 5.3 9.1 6.1 32.8 47.5 44.8
R-134a 7.33 7.74 5.5 9.1 12.4 27.9 20.5 �26.5
R-290 9.76 9.88 1.2 8.9 9.0 32.4 32.5 0.3
R-600a 7.41 7.47 0.8 8.9 8.3 30.0 26.2 �12.7
i n t e r n a t i o n a l j o u r n a l o f r e f r i g e r a t i o n 3 2 ( 2 0 0 9 ) 1 4 1 2 – 1 4 2 2 1417
model. To aid the reader, Table 4 presents er values for the five
fluids of Tables 3a and 3b.
4. R-1234ze(Z)
4.1. R-1234yf used as an example to illustrate propertyprediction capabilities of fluorinated olefins
In this section, comparisons are made for some thermody-
namic properties of R-1234yf between known values and ones
predicted by the methods described at the end of Section 2.1.
R-1234yf is chosen to illustrate the ability of the prediction
methods to accurately estimate thermodynamic properties
for a not-so-well-described refrigerant, and secondly because,
of the fluorinated propene isomers, R-1234yf is the only one
where more than a bare minimum of data have been pub-
lished in the open literature thus making a comparison
possible. Note: a similar illustration cannot be made for the
transport properties of R-1234yf since none have been pub-
lished in the open literature.
Figs. 1–3 compare the predictions of this paper with those of
Spatz and Minor (2008). In particular, Fig. 1 is a Mollier diagram,
Fig. 2 shows the saturation pressure curve, and Fig. 3 shows the
saturated vapor density curve. The largest er values for the
saturated liquid and saturated vapor enthalpies are approxi-
mately 3.5%. The largest er value for the saturation pressure
occurs at the lowest saturation temperature and is on the order
of 3%. The largest er value for the saturated vapor density also
occurs at the lowest saturation temperature and is on the order
of 4%. In summary, the predictive methods provide quite
reasonable estimates for the thermodynamic properties of
a not-so-well-described fluorinated propene isomer and thus
demonstrate their usefulness for predicting other even less-
well-described propene isomers, e.g., R-1234ze(Z).
Table 4 – Relative errors in predicted property values for the fivfrom REFPROP 8.0 (Lemmon et al., 2007).
P rf rg hfg sfg cp,
R-22 �3.9 1.4 �5.0 0.5 0.5 4.
R-32 �3.1 �1.4 �6.3 4.6 4.6 8.
R-134a �4.1 �0.7 �5.5 �0.4 �0.4 �1.
R-290 0.1 15.1 �0.8 3.4 3.4 4.
R-600a �2.2 2.3 �2.6 �0.1 �0.1 1.
4.2. Fundamental thermodynamic parameters of R-114and R-1234ze(Z)
Table 5 provides the fundamental thermodynamic parame-
ters Tc, Pc, rc, u, and cop for R-114 and R-1234ze(Z). The values
for R-114 are taken from REFPROP 8.0 (Lemmon et al., 2007)
and the values for R-1234ze(Z) are estimated by the method
described at the end of Section 2.1 knowing only its NBP and
its structural formula. The NBP for R-1234ze(Z) is taken from
Mukhopadhyay et al. (2008). The values provided in Table 5
demonstrate the possible attractiveness of R-1234ze(Z) as
a substitute for R-114.
4.3. Thermodynamic properties of R-114 and R-1234ze(Z)
Figs. 4–7 compare some of the thermodynamic properties of
R-114 (taken from REFPROP 8.0) with those predicted for
R-1234ze(Z). In particular, Fig. 4 shows the Mollier diagrams,
Fig. 5 shows the T–s state diagrams, Fig. 6 shows the saturation
pressure curves, and Fig. 7 shows the saturated vapor density
curves. The R-1234ze(Z) properties are estimated using the
fundamental thermodynamic parameters provided in Table 5
coupled with the P–R EoS implemented in REFPROP 8.0 (Lem-
mon et al., 2007). Note: the properties on the abscissas of Figs.
4 and 5 are plotted per kmol in order to make possible
a comparison between the two refrigerants, which possess
widely different molecular weights. Also, in each case the
reference state has been modified from the IIR convention
(h¼ 200 kJ kg�1 and s¼ 1 kJ kg�1 K�1 for saturated liquid at
T¼ 0 �C) in order to make the comparison easier. In particular,
the translated property values for h (the ones plotted in Fig. 4)
are simply the ones calculated using the IIR convention sub-
tracted by the quantity [(M ) (hrefer,IIR)], and the translated
property values for s (the ones plotted in Fig. 5) are simply the
e fluids of Tables 3a and 3b. The actual property values are
f cp,g lf lg mf mg g
3 �2.8 7.6 6.1 7.1 4.0 �2.3
5 �18.5 �26.6 8.5 29.3 0.8 �4.0
0 �7.8 �8.7 �3.7 �9.0 1.6 �2.7
2 �3.9 18.2 �6.6 45.2 0.3 8.6
2 �2.9 26.4 �5.1 �8.3 0.8 3.8
Fig. 1 – Mollier diagram for R-1234yf.Fig. 3 – Saturated vapor density curve for R-1234yf.
i n t e r n a t i o n a l j o u r n a l o f r e f r i g e r a t i o n 3 2 ( 2 0 0 9 ) 1 4 1 2 – 1 4 2 21418
ones calculated using the IIR convention subtracted by the
quantity [(M ) (srefer,IIR)].
A few interesting observations immediately can be made
regarding Figs. 4 and 5. First, the critical temperature and
critical pressure of R-1234ze(Z) are somewhat greater than the
R-114 values, which implies that the COP of R-1234ze(Z) in an
ideal cycle should be somewhat larger than the R-114 value in
the same cycle. Second, for a given saturation temperature,
the width of the two-phase saturation region in Fig. 4 is wider
for R-1234ze(Z) than it is for R-114, that is, hfg on a kmol-basis
at a given saturation temperature is greater for R-1234ze(Z)
than it is for R-114. Third, the saturated vapor line in Fig. 5 for
R-1234ze(Z) does not possess a positive slope as does the one
for R-114. This implies that smaller values of superheat could
be used for R-1234ze(Z) as compared to R-114 to avoid wet-
compression.
Fig. 6 shows that the saturation pressure curves for R-
1234ze(Z) and R-114 are similar. Fig. 7 shows that the satu-
rated vapor densities for R-1234ze(Z) are approximately 40–
50% less than are the R-114 values at the same temperatures.
However, since the M of R-1234ze(Z) is approximately 35%
smaller than that of R-114 and since hfg on a kmol-basis for R-
1234ze(Z) is somewhat greater than that of R-114, the VHC of
R-1234ze(Z) in an ideal cycle should not be too different from
the R-114 value in the same cycle.
Fig. 2 – Saturation pressure curve for R-1234yf.
4.4. Transport properties of R-114 and R-1234ze(Z)
Table 6 compares mf, lf, cp,f, and saturated liquid Prandtl (Pr)
numbers for R-114 and R-1234ze(Z) at saturation temperatures
of 25 �C and 85 �C. The R-114 values are from REFPROP 8.0
(Lemmon et al., 2007) and the R-1234ze(Z) values are predicted
by the methodologies of Section 2.2. The results show that
heat transfer performance should be somewhat better for R-
1234ze(Z) than for R-114 in the evaporator and in the
condenser. The pressure drop penalties in both the evaporator
and the condenser should be slightly greater for R-1234ze(Z)
than for R-114. Therefore, considering heat transfer and
pressure drop effects together, we expect similar perfor-
mances for the evaporator and the condenser for both R-114
and R-1234ze(Z).
4.5. Idealized thermodynamic performance of R-114 andR-1234ze(Z)
The thermodynamic properties presented in Section 4.3 were
used to simulate the COP and VHC of R-114 and R-1234ze(Z) in
an idealized cycle comprising a constant evaporation
temperature of 25 �C, a constant condensation temperature of
85 �C, a condenser subcooling of 10 �C, a compressor isen-
tropic efficiency of 85%, and the minimum amount of evapo-
rator superheat that ensures saturated or superheated vapor
at the compressor outlet.
Using this cycle, the COP and VHC for R-114 are 3.24 and
1667 kW m�3, respectively, and for R-1234ze(Z) are 3.40 and
1645 kW m�3, respectively, or expressed differently, the COP
and VHC of R-1234ze(Z) are 4.9% higher and 1.3% lower,
respectively, than the R-114 values. These values are consis-
tent with the observations made in Section 4.3, and once
again, show the possible attractiveness of R-1234ze(Z) as
a possible substitute for R-114.
4.6. Non-ideal performance: heat transfer and pressuredrop effects for R-114 and R-1234ze(Z)
EVAP–COND 2.3, described in Section 3.2, was used to simu-
late the performances of R-114 and R-1234ze(Z) in an
Table 5 – Fundamental thermodynamic property values for R-114 and R-1234ze(Z).
M (kg kmol�1) Tc (K) Pc (kPa) rc (kg m�3) u (–) cop at 273 K (kJ kg�1 K�1)
R-114a 170.9 418.8 3257 580.0 0.252 0.661
R-1234ze(Z)b 114.0 426.8 3970 472.6 0.333 0.758
a Values taken from REFPROP 8.0 (Lemmon et al., 2007).b Values estimated by the method described at the end of Section 2.1 knowing only its NBP and its structural formula. The NBP is taken from
Mukhopadhyay et al. (2008).
i n t e r n a t i o n a l j o u r n a l o f r e f r i g e r a t i o n 3 2 ( 2 0 0 9 ) 1 4 1 2 – 1 4 2 2 1419
evaporator and in a condenser to confirm the assessment
made at the end of Section 4.4. The thermodynamic and
transport properties for R-114 are from REFPROP 8.0 (Lemmon
et al., 2007) and for R-1234ze(Z) are from Sections 4.3 and 4.4.
While detailed analyses were not performed and thus are not
reported here, the simulations conducted do confirm that the
R-1234ze(Z) heat transfer rate can be up to approximately 20%
greater than the R-114 values in both the evaporator and the
condenser for constant saturation temperature drops (Cav-
allini, 2002). Furthermore, the penalty factor (PF) concept of
Cavallini (2002) was used to compare the two fluids (Fig. 8),
with the resulting PF of R-1234ze(Z) being some 12–15% lower,
at the same heat transfer coefficient, than R-114 value for
condensation heat transfer. Note: the PF is a performance
evaluation criterion developed by Cavallini to capture exergy
losses due to heat transfer and frictional pressure drop in the
heat exchanger, with a lower PF, at the same heat transfer
coefficient, indicating better heat transfer performance
potential for the particular refrigerant.
4.7. Other characteristics of R-114 and R-1234ze(Z)
While there is no ‘‘ideal’’ refrigerant for a particular application,
asaminimumarefrigerantshouldpossessgoodthermodynamic
and transport properties. These are obviously not the only, or
even necessarily, the primary characteristics that a ‘‘good’’
refrigerant should possess. For example, other important
characteristics include: cost, stability, environmental impact,
availability, compatibility with common materials, toxicity,
flammability, among others. However, nowadays, environ-
mental impactdas measured by ODP and GWPdare becoming
increasingly more important characteristics for a refrigerant.
Fig. 4 – Mollier diagrams for R-114 and R-1234ze(Z).
Thus, these two characteristics, together with toxicity and
flammability, will now be considered for R-114 and R-1234ze(Z).
R-114 is a CFC with an ODP of 1 (EPA, 2009) a GWP of 10,400
(EPA, 2009), and is classified as an A1 (low toxicity, nonflam-
mable) refrigerant by ASHRAE (2005). On the other hand, R-
1234ze(Z) has no ODP and almost certainly has a GWP on the
order of probably no more than 10 or so based on values of
other fluorinated propene isomers. What is unknown (no data
has been published in the open literature) is its toxicity or
flammability. However, based on published data for other
fluorinated propene isomers, R-1234ze(Z) could very likely be
toxic and/or flammable to some greater or lesser degree, and
thus before R-1234ze(Z) could be used in a particular appli-
cation extensive toxicity and flammability testing would need
to be conducted. Note: for comparison purposes, R-1234ze(E)
has a GWP of 6, a LC-50 toxicity value of at least 100,000 ppm,
and an NOAEL value greater than 12% by volume (Luly and
Singh, 2008).
5. Conclusions
The first part of this paper summarizes methods to predict
thermodynamic and transport properties knowing only
a refrigerant’s normal boiling point temperature (NBP) and its
structural formula. The steps in the approach are to:
(1) Estimate the critical temperature (Tc) and the critical
density (rc) using the Ambrose (Reid et al., 1987) group
contribution method, the critical pressure (Pc) using Eq. (1),
the acentric factor (u) using the approach of Poling et al.
Fig. 5 – T–s state diagrams for R-114 and R-1234ze(Z).
Fig. 7 – Saturated vapor density curves for R-114 and
R-1234ze(Z).
Fig. 6 – Saturation pressure curves for R-114 and R-
1234ze(Z). Fig. 8 – Condensation heat transfer penalty factors for
R-114 and R-1234ze(Z).
i n t e r n a t i o n a l j o u r n a l o f r e f r i g e r a t i o n 3 2 ( 2 0 0 9 ) 1 4 1 2 – 1 4 2 21420
(2001), and the ideal gas specific heat at constant pressure
ðcopÞ using the Joback group contribution method (Poling
et al., 2001).
(2) Use the Peng–Robinson (P–R) Equation of State (EoS)
implemented in Lemmon et al. (2007) to estimate the
thermodynamic properties: temperature (T ), pressure (P),
density (r), specific enthalpy (h), specific entropy (s), and
specific heat at constant pressure for the saturated vapor
(cp,g). Note: if the refrigerant’s critical state properties are
known, they should be used in this step in lieu of the
critical state properties estimated in Step 1.
Table 6 – Transport properties for R-114 and R-1234ze(Z).
mf (mPa s) cp,f (kJ kg�1 K�1)
R-114a R-1234ze(Z)b R-114a R-1234ze(Z)b
25 �C 273.6 306.5 0.992 1.209
85 �C 141.4 188.6 1.133 1.399
a Values taken from REFPROP 8.0 (Lemmon et al., 2007).b Values estimated by the methods described in Section 2.2.
(3) Use the modified Bondi method described in Poling et al.
(2001) to estimate the specific heat at constant pressure for
the saturated liquid (cp,f).
(4) Estimate the liquid thermal conductivity (lf) using the
method of Latini et al. (Poling et al., 2001), the vapor
thermal conductivity (lg) using the method of Chung et al.
(Poling et al., 2001), the liquid dynamic viscosity (mf) using
the group contribution method of Sastri and Rao (2000) and
Poling et al. (2001), the vapor dynamic viscosity (mg) using
the method of Chung et al. (Poling et al., 2001), and the
surface tension (g) using the method of Sastri and Rao
(Poling et al., 2001).
Following the steps described above, errors for the ther-
modynamic properties are generally within a few percent over
the reduced temperature range from Tr¼ 0.6 to Tr¼ 0.9;
whereas, errors for transport properties are generally within
�20% but can be as high as 40%. In summary, at Tr¼ 0.7 for
a group of 26 refrigerants the mean absolute errors (ea) are
P¼ 2.3%, rf¼ 2.8%, rg¼ 3.3%, hfg¼ 1.9%, sfg¼ 1.9%, cp,f¼ 3.6%,
cp,g¼ 9.3%, lf¼ 9.5%, lg¼ 8.5%, mf¼ 12.0%, mg¼ 3.5%, and
g¼ 4.4%.
Once the thermodynamic and transport properties have
been determined, one can use the thermodynamic properties
determined in Step 2 to predict the thermodynamic perfor-
mance [coefficient of performance (COP) and volumetric
cooling (or heating) capacity (VCC or VHC)] of the refrigerant in
an idealized vapor compression refrigeration cycle. The mean
lf (W m�1 K�1) Pr
R-114a R-1234ze(Z)b R-114a R-1234ze(Z)b
0.061 0.086 4.45 4.33
0.049 0.065 3.30 4.04
i n t e r n a t i o n a l j o u r n a l o f r e f r i g e r a t i o n 3 2 ( 2 0 0 9 ) 1 4 1 2 – 1 4 2 2 1421
absolute errors (ea) for COP and VCC for a group of 26 refrig-
erants are 1.7% and 3.1%, respectively. Finally, one can use the
transport properties estimated in Step 3 to gauge the refrig-
erant’s possible deviation from ‘‘ideal’’ due to exergy losses
from heat transfer and pressure drop effects.
The second part of the paper provides estimates for R-
1234ze(Z) of its: (1) fundamental thermodynamic parameters,
(2) thermodynamic properties, and (3) transport properties.
These properties then are used to estimate the thermody-
namic performance of R-1234ze(Z) in an idealized high-
temperature heat pumping cycle, and are used to investigate
its performance in a non-ideal evaporator and in a non-ideal
condenser. In particular, Tc¼ 426.8 K, Pc¼ 3970 kPa,
rc¼ 472.6 kg m�3, u¼ 0.333, and cop ¼ 0.758 kJ kg�1 K�1 at
T¼ 273 K. The thermodynamic properties are presented in
a P–h state diagram, a T–s state diagram, a saturation pressure
curve, and a saturated vapor density curve, and the saturated
liquid transport properties m and l are presented at saturation
temperatures of 25 �C and 85 �C. The thermodynamic perfor-
mance in an idealized high-temperature heat pump cycle
provides a COP of 3.40 and a VHC of 1645 kW m�3, which are
4.9% higher and 1.3% lower, respectively, than the R-114
values in the same cycle. The penalty factor (PF) concept of
Cavallini (2002) shows that the PF of R-1234ze(Z) is some 12–
15% lower than the R-114 value. Furthermore, heat exchanger
simulations were performed which indicate that the R-
1234ze(Z) heat transfer rate can be up to approximately 20%
greater than the R-114 values in both the evaporator and the
condenser for constant saturation temperature drops.
Finally, R-1234ze(Z) has no ODP and almost certainly has
a GWP on the order of probably no more than 10 or so based on
values of other fluorinated propene isomers. What is
unknown (no data has been published in the open literature)
is its toxicity or flammability. However, based on published
data for other fluorinated propene isomers, R-1234ze(Z) could
very likely be toxic and/or flammable to some greater or lesser
degree, and thus before R- 1234ze(Z) could be used in
a particular application extensive toxicity and flammability
testing would need to be conducted. Despite these potential
drawbacks, R-1234ze(Z) deserves further consideration as
a possible R-114 replacement.
Acknowledgements
J. Steven Brown expresses his appreciation to the Diparti-
mento di Fisica Tecnica of the Universita di Padova for hosting
him for a sabbatical stay during the 2008–2009 academic year.
The authors thank MOET (More Open Electrical Technologies),
an FP6 European Integrated Project (http://www.moetproject.
eu), for their financial support.
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