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FRENCH-UKRAINIAN JOURNAL OF CHEMISTRY (2015, VOLUME 3, ISSUE 1)
High-temperature microwave effects in liquid media
Alexander Yu. Voloshkoa, Natalia A. Pinchukovaa *, Oleg V. Shishkin, a,b Valentin A.Chebanova,b
a
SSI ”Institute for Single Crystals” of National Academy of Sciences of Ukraine, Lenin Ave., 60,
Kharkiv 61001, Ukraine
b
V.N. Karazin Kharkiv National University, Svobody sq., 4, Kharkiv 61022, Ukraine
[email protected]
Keywords: microwave irradiation, heating mode, non-linear interactions, high-boiling liquid,
viscosity.
The heating behavior of high-boiling liquids under microwave (MW) irradiation was investigated.
Linear and non-linear heating modes depending on the applied MW power level were observed.
The non-linear interactions emerging at “high” power levels are ascribed to electromagnetic
oscillations excitations resulting in non-linear heating speed growth and considerable decrease in
energy input. The relationship between non-linearity degree and liquids’ viscosity was established.
The observed effects have been shown to apply not only to mere heating, but also to hightemperature chemical reactions. Future perspectives and practical applications of the work are also
discussed.
________________________________________________________________________________
proofs to substantiate their points of view;
Introduction
The sharp debate is still going on in the
however, the discussion is not over yet [7, 8].
scientific community concerning the existence
It is known from the theory of
or non-existence of non-thermal microwave
electromagnetic irradiation and dielectric media
(MW) effects [1-6]. The benefits brought about
interactions that the linear dependence of the
by microwave irradiation some of the scientists
system parameters on the wave amplitude is
ascribe to the totally thermal effects, arising
observed if the wave energy is lower than the
from the dielectric heating mechanism, while
system’s inner one [9].
the others incline towards the emergence of
In case when the wave energy exceeds
specific or non-thermal effects being the result
the inner energy of the system non-linear
of interactions between microwaves and matter,
interactions between electromagnetic field and
which are not directly connected to heating
medium occur.
itself. Both groups of scientists give multiple
In our previous investigation on the
energy
73
efficiency
of
microwave-assisted
FRENCH-UKRAINIAN JOURNAL OF CHEMISTRY (2015, VOLUME 3, ISSUE 1)
dehydration of orthophosphoric acid (OPA) the
system’s thermal energy, the process parameters
non-linearity in the consumed energy vs. MW
change non-linearly with further increase in
power dependence was observed (Fig. 1) [10].
power level. Plateau on this dependence is
obviously caused by the system’s saturation and
1200
incapability of the dielectric to absorb more
1000
energy.
Q (kJ)
800
Interestingly, that such non-linearity
600
was detected only at high temperatures – above
400
150˚C.
200
0
100
150
200
250
300
350
400
Such observations stimulated us to
450
MW power (W)
conduct more careful study of microwave non-
Figure 1. The total energy required for OPA dehydration
linear effect with the use of other objects. To
at 100, 150, and 210˚C [10].
obtain unambiguous results and in purpose of
This dependence could be divided into
simplicity of their interpretation the studied
two ranges. The first range was characterized by
processes included heating only, with no
relatively low power levels (up to 200 W under
chemical reactions involved. For this study we
the certain experimental conditions), within
chose high-boiling organic liquids having
which
different
the
process
parameters
change
molecular
weight
and
proportionally to the power, resulting in the
(glycerol,
constancy of the energy consumed irrespective
diethyleneglycol
of the power level. In this range the system’s
polyphosphoric acid (PPA), which were to be
behavior could be mainly ascribed to the
subjected to microwave heating in a wide range
thermal
irradiation.
of the fixed MW power, and the energy
Meanwhile, gradual increase of microwave
consumed during MW heating was to be
power resulted in the deviation from the energy
measured.
effects
of
microwave
polyethyleneglycol
viscosity
(DEG),
as
(PEG-400),
well
as
constancy manifested by the slope of the curve
The main aim of the study was to prove
that again plateaued at about 400 W. Obviously,
experimentally the existence of the non-linear
this slope was the evidence of the energy
region in the energy vs. MW power dependence
decrease in result of the emergence of specific
in the process of microwave heating of various
microwave effects, which could also be defined
liquids and to reveal the factors favoring and
as non-linear effects. This fact can be explained
impeding non-linear interactions. Based on the
by that at “high” microwave powers the wave
results obtained with polyphosphoric acid
amplitude increases, and at some point where
dehydration, it can be assumed that the results
the wave energy becomes larger than the
of this study will be applicable to chemical
74
FRENCH-UKRAINIAN JOURNAL OF CHEMISTRY (2015, VOLUME 3, ISSUE 1)
processes as well, provided that they proceed
both on heating (Fig. 3 and 4) and on OPA
under high temperatures.
dehydration (Fig. 1).
Results and discussion
Q, kJ
To demonstrate the influence of MW
power on the energy consumption for MW
heating of glycerol, PEG-400, DEG and PPA
the appropriate plots were built (Fig. 2).
500
450
400
350
300
250
200
150
100
50
0
0
200
400
600
800
1000
MW power, W
450
400
DEG
Figure 3. The total enery required for MW heating of
glycerol
Q (kJ)
350
DEG to 100, 150, and 200 ˚C.
PEG-400
PPA
300
250
200
350
150
300
250
100
100
200
300
400
500
600
700
800
900
Q, kJ
0
MW power (W)
200
150
100
Figure 2. The total energy required for heating DEG,
50
glycerol, PEG-400 and PPA in MW field to 200 ˚C vs.
0
0
MW power input.
Fig.
2
200
400
600
800
1000
MW power, W
shows
that
the
Figure 4. The total energy required for MW heating of
energy
glycerol to 100, 150, and 200 ˚C.
consumption decreases with power increase for
all the studied substances like in case of OPA
Supposedly, this can be explained by the
[10]. The maximal difference between low- and
fact that at relatively low temperatures heating
high-power energy consumption was observed
mode of highly boiling liquids is laminar and in
for DEG, while the minimal one for glycerol.
the first approximation it can be assumed that
PEG-400 and PPA demonstrated intermediate
the system’s properties remain the same or
results. Interestingly, that decrease in the energy
change insignificantly with temperature rise.
consumption was observed only for high
Thus, the heating behavior of the liquids in the
temperatures (200˚C), meanwhile, for the low
low power range should not depend on the
temperatures (below 150˚C) the constancy or
power value, i.e. should be similar to Joule’s
slight variation of the energy consumption was
heating. Therefore, it is logical that the heating
observed throughout the whole range of the
time is inversely proportional to the power
applied MW power levels in the experiments
75
FRENCH-UKRAINIAN JOURNAL OF CHEMISTRY (2015, VOLUME 3, ISSUE 1)
value, resulting in the constancy of the energy
they become even. The following are the energy
consumption.
estimations for heating DEG from 20 to 200°C:
Qheat = m × c × ∆T = 0.2 × 2400 × 180= 86.4 × 10 3
On the contrary, at high temperatures,
especially close to the boiling point, heating
QMW = P × t × η = 200 × 1500×0.3 = 90 × 103 ,
acquires more turbulent mode and becomes
where Qheat is the heat energy (J), required for
more
applied.
the liquid to be heated to the set temperature T
energy
(K); QMW is the energy of MW irradiation
susceptible
Presumably,
consumption
the
for
to
the
variation
different
power
in
the
powers,
as
introduced into the system (J); m is the weight
demonstrated in Fig. 2, can be interpreted as the
of the sample (kg); c is the liquid’s specific heat
evidence of the specific microwave effects or
capacity (J·kg-1·K-1); P is MW power (W); t is
non-linear interactions.
the heating time (sec); and η (0.3) is an
The following explanation may be
efficiency factor obtained in our previous work
offered. At low power values – in our case
[10] rounded to the first decimal digit.
below 150 W – electric field strength or
It is evident from these estimations that
electromagnetic wave energy is lower than the
the ratio QMW/ Qheat is close to 1 when MW
thermal energy of the liquid, and this phase may
power is 200 W, which confirms the above said.
be determined as a linear one. In other words,
In order to better illustrate how the
within this “low” power range MW heating
heating behavior changes with MW power,
mode of the liquids is similar to thermal heating
heating speed (dT/dt) vs. MW power plots (Fig.
and no or minor specific interactions, other than
5 and 6) were built on the basis of the
heating itself, take place between MW field and
temperature profiles obtained when heating
matter. With power increase the wave energy
liquids at different MW power levels.
grows and at some point becomes equal to the
Mathematical treatment of the plot in
thermal energy of the liquid. As follows from
Fig. 5 yielded three domains corresponding to
the experimental data (Fig. 2), this energy
three heating modes. The first one – up to 200
equality is reached at approximately 200 W
W - is related to the heating mode similar to
which corresponds to the inflexion point in the
Joule heating (heating speed is proportional to
curves. This value signifies the boundary
the power applied). The second domain –
between the linear and non-linear heating modes
between approx. 200 and 300 W – clearly
under the given experimental conditions. Below
indicates
200 W the energy introduced into the system is
expression y = xa, where a > 2, however, to
less than the system’s heat energy and at 200 W
describe this dependence more precisely more
non-linearity
described
by
the
routine studies are needed. It is in this MW
76
FRENCH-UKRAINIAN JOURNAL OF CHEMISTRY (2015, VOLUME 3, ISSUE 1)
power region that non-linear MW effects
power is equal to or higher than the dielectric’s
appear.
loss power (1) [11]:
P = 0.287 E 2 fε ′′ ×10 −6 ,
9
8
where P is dielectric’s loss power (W/cm3); E is
7
dT/dt (OC/min)
(1)
6
electric field strength (V/cm); f is frequency
5
4
(MHz); ε´´ is dielectric loss factor equal to
3
2
ε´/tgδ, in which ε´ is dielectric permittivity, and
1
tgδ is dielectric loss tangent.
0
0
100
200
300
400
500
MW power (W)
For example, resulting from equation
Fig. 5. OPA heating speed (dT/dt) vs. MW power plot,
(1), P value for 0.2 kg of DEG (180 cm3)
featuring three regions of heating mode: 1- linear (up to
amounts to ca 350 W, which is in a good
200 W), 2 - non-linear (200 to 300 W), and 3 - linear
accordance with our experimental data (Fig. 3).
(above 300 W) (see explanations in the text).
Thereby, it can be inferred that above
some definite power, determined by the certain
40
experimental conditions, no non-linear effects
35
dT/dt (OC/min)
30
can progress any more. However, it should be
25
20
noted that the differentiation between “low” and
15
“high” power discussed in this paper only refer
10
5
to the given experimental conditions (substance
0
0
200
400
600
800
1000
weight (0.2 kg), MW applicator model, flask
MW power (W)
Fig. 6. Glycerol heating speed (dT/dt) vs. MW power
geometry etc.) and the data given here cannot be
plot, featuring linear dependence in the whole power
directly applied to other systems without
range (see explanations in the text).
making necessary correlations.
The
non-linear
behavior
can
be
However, it can be seen that the measure
explained by that the system meets the condition
of non-linearity is not equal for different liquids,
when the wave energy exceeds the system’s
for some of them being pronounced (e.g. OPA,
inner energy. The increments of non-linear
DEG) (Fig. 5), while for others approximating
interactions between the electromagnetic field
to the linear dependence within the whole power
and media result in the total energy drop
range (e.g. glicerol) (Fig. 6). Moreover, the
(Fig. 1). The third domain is described by a
differences between maximal and minimal
linear equation again. Presumably, it can be
energy consumption are not equal for different
explained by reaching the “saturation” state,
liquids either, being larger for the liquids
which in our case means that the input MW
exhibiting stronger non-linearity (cf. Fig. 3 and
77
FRENCH-UKRAINIAN JOURNAL OF CHEMISTRY (2015, VOLUME 3, ISSUE 1)
4). To find the explanation for the differences in
This observation suggests that non-linear
heating behavior of the studied liquids and to
effects emerging in liquids heated by MW
compare
energy
irradiation are directly related to their viscosity.
decrease ratio (EDR) was calculated as the ratio
Indeed, mathematical interpretation of the
of Qmax corresponding to the highest energy
obtained dependence showed that the value of
consumed by the liquid when heated at 150 W
EDR is inversely proportional to η1/3 that allows
to Qmin corresponding to the lowest energy
drawing
consumed at 400 W or above. It was shown that
electrodynamics. It is known that ionic viscosity
EDR
vary
of plasma suppresses excitation of oscillations,
considerably, reaching the highest value for
induced by alternating electric field [12, 13].
DEG (2.0) and the lowest one for glycerol (1.1).
Thus, assuming EDR as a measure of non-
It can be stated with certainty that the
linearity in our case, it can be inferred that high
differences in EDR between the liquids are not
viscosity of liquids also suppresses oscillations
related to the differences in their tgδ, as the
excitation upon MW heating, preventing non-
latter does not depend on the power applied.
linear interactions between electromagnetic
them
values
quantitatively,
for
different
the
liquids
However, comparison of other physical
between
EDR
and
analogy
with
plasma
field and liquid media.
properties of the liquids revealed definite
relationship
some
Fig. 7 also shows that OPA, though
liquid’s
featuring a different kind of MW process, viz.
viscosity, the most viscous liquid – glycerol -
dehydration reaction, in contrast to other liquids
having the lowest value of EDR, whereas the
subjected to heating only, fits well the plot
least viscous DEG having the highest one
obtained for heating. This fact indicates that the
(Fig. 7).
obtained EDR vs. viscosity dependence is
universal and, most likely, can be applied to the
systems undergoing not only heating but other
physical
or
chemical
transformations
accompanied by heating, provided that the basic
experimental conditions (substance weight, MW
equipment, apparatus etc.) are the same or very
much alike. Otherwise, the results should be
Fig. 7. Effect of dynamic viscosity of DEG, PEG-400,
extrapolated as appropriate.
PPA, glycerol and OPA (for the latter the results are
Interestingly, that the energy efficiency
adopted from [10]) on the EDR (for 200 ˚C).
factor (k) calculated as the ratio of the absorbed
energy, estimated on the basis of thermal
78
FRENCH-UKRAINIAN JOURNAL OF CHEMISTRY (2015, VOLUME 3, ISSUE 1)
properties of the liquids, to the energy input
account when choosing a solvent as a reaction
determined experimentally (Qabs/Qinput) showed
medium, since the right choice of solvents can
that the difference in k was appreciable only at
significantly improve MW processes outcome in
low
terms of energy and time saving.
powers,
whereas
at
high
powers,
corresponding to plateau on Fig.1 and Fig. 2,
this difference was negligible. For example, k
Conclusions
values calculated for DEG and glycerol, i. e. the
In result of this study it has been shown
liquids having the highest and the lowest EDR,
that microwave irradiation can induce non-
at 200 W made 0.26 and 0.33, respectively,
linear effects in liquids at high temperatures. At
whereas at 400 W k was found to be equal for
this, three ranges of interactions between
both liquids (0.36).
microwave field and high-boiling liquids during
On the basis of the obtained results it can
their
microwave
processing
(heating
and
be inferred that non-linear effects emerge in the
dehydration reaction) at high temperatures
system subjected to MW irradiation irrespective
(>150 °C) have been distinguished: linear, non-
of the nature of the processes, and are dependent
linear and saturation ones.
only on the medium temperature and MW
It has been shown that non-linear
power. It has also been shown that non-linear
interactions
interactions
and
dependant on the process type (physical or
microwave irradiation of high intensity are
chemical transformation), but only on the media
suppressed by high viscosity of the former.
temperature and microwave power.
between
liquid
medium
The results obtained are important for
emerging
in
liquids
are
not
High viscosity of the liquids has been
further investigation of MW-assisted processes.
found
The findings of this work seem to be useful in
between microwaves and liquid media. This
the interpretation of the results obtained in the
finding is in a good accordance with plasma
studies of MW-assisted processes, including
physics theory, claiming that ionic viscosity
chemical reactions, via non-linear interactions.
impedes electromagnetic oscillations excitation,
In practical terms these results can be used in
thus hampering non-linear interactions.
R&D
activities
related
to
design
to
suppress
non-linear
interactions
and
The data obtained in this work may be
optimization of MW techniques. From scale-up
used in further fundamental researches on non-
point of view they can help in selecting right
linear effects in liquid media, as well as for
operational conditions for MW processes to
practical purposes, e.g. in R&D of novel
achieve the utmost energy efficiency. The
microwave techniques. The findings of this
liquids viscosity should also be taken into
work can undoubtedly be applied to microwave79
FRENCH-UKRAINIAN JOURNAL OF CHEMISTRY (2015, VOLUME 3, ISSUE 1)
investigations,
switched off automatically and the total heating
especially in the scope of “green” chemistry,
time was fixed. The total energy required for
chemical processes intensification and process
heating (Q) was calculated using the equation:
scale-up.
Q = P×t ,
assisted
chemical
reactions
Since this work can be considered a
where P is MW power (W) generated by MW
touchstone in the field of non-linear microwave
oscillator during the heating; t is time required
effects investigation, further studies are needed
for heating (sec).
aimed at mathematical treatment of the results
The liquid was then cooled down to the
obtained and development of a physical model
describing
high-temperature
(2)
room temperature and heating procedure was
non-linear
repeated as described above for another power
interactions between microwave irradiation and
level.
dielectric liquid media.
Finally, for each liquid the series of
heating runs was performed at different MW
Experimental part
power levels in the range of 100 to 800 W with
Glycerol (99 %), PEG-400 (99 %) and
50 W or 100 W step.
DEG (99 %) used in the experiment were
Each run was duplicated to ensure the
commercially available and chemically pure.
repeatability of the results.
PPA containing about 78 % of P2O5 was
Dynamic viscosity of glycerol, PEG-
prepared by means of OPA dehydration [10].
400, DEG, OPA and PPA used in the
MW laboratory system MARS (CEM
experiments was measured using Reolab-QC
Corp., USA) operated at 2.45 GHz and
(Anton Paar, Austria).
equipped with fiber-optic (FO) probe for
temperature measurements was used in the
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