V.V. Meriakri, E.E. Chigrai. M.P. Parkhomenko
3rd Workshop “Water in Food”.
29-31 March,
2004. Lausanne, Switzerland.
Institute of Radioengineering
and Electronics, Russian Academy of Sciences
Vvedenski sq. 1, Fryazino
Moscow Reg. 141190, RUSSIA
E-mail: meriakri@ms.ire.rssi.ru
Abstract
Microwave and millimeter wave methods are
described for measuring the content of water and other polar substances (first
of all alcohol and sugar) in liquids and powders. Examples of devices for such
applications are designed. These methods and devices can provide accurate
measurement in real time (including on line).
Keywords: water, alcohol, sugar, content, determination, microwaves, millimeter waves,
1. INTRODUCTION
The monitoring of the
composition of materials (including water solutions) is an important problem of
applied spectroscopy in the optical, infrared, and microwave wavelength bands.
The aim of this paper is to
examine the specific features of the application of microwaves (MW) (frequencies f = 3 - 30 GHz) and relatively new
millimeter (MM) waves to the alcohol and sugar content determination in water,
juices, and wines. These waves can also be used for measuring the content of
water and some other polar admixtures in powders and solids.
Presently, there is extensive
literature devoted to the interaction of MW and MM waves with various liquids,
water solutions, and emulsions [1 - 8]. The main results concerning these water-containing substances are as
follows:
1. The sensitivity to the
content of water and other dipole liquids in different media increases with
frequency (e. g., a free space absorption of MM waves in water a > 40 1/cm is much greater than that in all
monitored host materials; as wavelength l decreases, the absorption in water increases more
rapidly than the absorption in these host materials).
2. Unlike
low-frequency waves, MW and MM waves practically are not sensitive to
conducting impurities in liquids.
3. MW and MM waves can be
used for testing materials that are opaque for optical and infrared waves.
4. MW and MM waves allow one
to realize non-destructive, real-time, in-flow measurement of the dielectric
properties of media. These properties are closely related to the chemical
composition of substances under test. ![]()
2. PROPERTIES OF WATER
SOLUTIONS
The frequency dependence of e = e
+ ie
of water and water solutions in the MW and MM
frequency ranges is well known [5, 2] and is usually described by the
Debye–Cole-Cole law:
. (1)
Here, the complex
permittivity e = e
+ ie
,
= 2
f, ![]()
=
(f ® 0),
= (f ®
),
is relaxation time,
and
» 1. All these values are functions of temperature t and chemical
composition of a liquid. For water and alcohol, the values of
are approximately equal to 80 and 25, respectively, the
values of
are approximately
equal to 5.0 and 3.3, respectively, and
» 10
sec and 10
sec, respectively (t = 15-25C).
It is important that, in the
MW and MM ranges, the dielectric properties and losses (a, 1/cm) of water, as well as of alcohol and sugar
solutions in water, are practically independent of small mineral and conducting
admixtures.
Due to the difference in
,
, and
, water and alcohol have essentially different behavior of
(
) and losses
(
) in the MW and MM wave ranges.
For example, at
frequency of f » 10 GHz, losses in
water are
» 7 1/cm, while
losses in alcohol
are » 2 1/cm; at
frequencies of f » 3 GHz,
» 0.7 1/cm and
» 1.5 1/cm [7].
Such difference in dielectric properties may be used for the determination of
the alcohol content
, % vol. in water. However,
the dielectric properties (including losses) of alcohol in
water solutions versus the alcohol content
do not obey a simple
additive law due to dependence of
,
, and
on
. Sugar (glucose) solutions have a similar behavior as s
function of sugar content w, % weight.
Therefore, we measured
the dielectric properties of water solutions of alcohol and sugar at
frequencies in the regions of f
= 7 –10 GHz and f
= 2 – 3 GHz. The
measurements were carried out at frequencies near f
in a rectangular metal waveguide of cross section 2.3
1.0 cm and, at frequencies near f
, in a waveguide of cross section 7.2 ´ 3.4 cm.
We have measured
power transmission T and reflection R coefficients of alcohol and
sugar solutions in these waveguides:
T = (1 – R)
e
. (2)
Here, L is
the thickness of the liquid layer.
From (1), we can
find the losses
and also
using the well-known
relations between
, T, and R [9].
R
=
, (3)
=
-
, (4)
![]()
= ![]()
-
(5)
Here, c is
the velocity of light and a is the size of the wide wall of the
waveguide. ![]()
For the alcohol
and sugar content monitoring, the most suitable parameter is the transmission
coefficient T of a liquid layer.
Tables 1-2 present
the functions
T(
) = T(
) – T(0) for
the solution of alcohol in water at frequencies of f
= 8,8 GHz and f
= 3,4 GHz (t = 20 C).
Table1. (L = 0.5
cm, f = 8.8 GHz )
|
|
0 |
1.6 |
3.3 |
5.0 |
6.8 |
8.5 |
10.2 |
|
|
0 |
0.62 |
1.37 |
2.00 |
2.64 |
2.98 |
3.35 |
In this case, we
have the sensitivity to alcohol about 0.35- 0.41 dB/1%. To obtain higher
sensitivity, one should increase L.
Table 2. (L
= 5 cm, f = 3.4 GHz)
|
|
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
|
|
0 |
0.25 |
0.48 |
0.68 |
0.89 |
1.10 |
1.25 |
1.42 |
1.56 |
1.68 |
1.8 |
For such L,
we have sensitivity to alcohol of about 0.13– 0.21 dB/1%.
As for the sugar
solutions in water, the results of measurements of
T depending on the sugar concentration w, g/litre
at frequencies of f
and f
are presented in Tables 3 and 4.
Table 3 (L =
0.5 cm, f = 9.4 GHz)
|
w, % |
0 |
5 |
10 |
15 |
20 |
25 |
|
|
0 |
0.65 |
1.35 |
1.95 |
2.50 |
2.60 |
From Tables 1 and
3, one can see that the sensitivity to sugar in this frequency interval is much
less than the sensitivity to alcohol.
Table 4 ( f
= 2.3 GHz, L = 5 cm)
W, % |
0 |
1.3 |
2.6 |
3.9 |
5.3 |
6.6 |
7.9 |
9.2 |
10.5 |
|
|
0 |
0.14 |
0.26 |
0.35 |
0.48 |
0.59 |
0.70 |
0.79 |
0.89 |
Here, the sensitivity
to sugar is about 0.1 dB/1%.
The results of
measurements of T(
, w) at frequencies of f
and f
in alcohol--sugar aqueous solutions
have shown that it is possible to determine the alcohol
and sugar content in water using measurements carried out at two different
frequencies. For
20% and W
300 g/litre, the accuracy of such measurements can be
practically the same as in the alcohol--water and sugar-in-water solutions.
The next step is
the application of the above-mentioned investigations to the design of a sensor
for the determination of both alcohol and sugar content in wine.
3. A SENSOR FOR
MEASURING ALCOHOL AND SUGAR CONTENT IN WINE
An experimental
sensor for measuring the alcohol and sugar content in wine was designed. The
device consists of a metal coaxial line with the TEM mode operating at
frequency of f
= 2,35 GHz and a 4-cm-long measuring cell (a section of a
circular metal waveguide supporting the TM
mode with the liquid under test) inserted into this coaxial
line. The cell has dielectric matching windows at both ends to avoid reflection
from the boundaries. The cell has longitudinal slots in its walls and is
inserted into a bath with the liquid under test. These slots do not affect the
propagation of the TM
mode and, at the same time, allow a liquid to flow through
the cell.
A section of a rectangular
metal waveguide of cross section 2.3 ´ 0.5 cm supporting
the TE
mode at frequency of f
= 8.85 GHz and with open ends and a matching window is
inserted into a bath with a liquid. A second similar section is placed in the
liquid along the same axis as the first section. The distance L between
these sections is of 0.45 cm. The complex permittivity of the matching windows
is chosen so that to suppress the dependence of T on w for
= 9– 18% and L
= 0.45 cm.
After the
calibration of the device, the alcohol content
and sugar content W
are determined from two measurements:
(a) The
measurement of the transparency T at frequency f
allows one to find
independently of W;
(b) The
measurement of the transparency T at frequency f
allows one to determine W using the known value
of
.
The measurements were carried
out with five sorts of wines (white and red),
= 9 – 18 % vol., W
30 g/litre. The accuracy of determining
and W was
about 0.1 % vol. and 3 g/litre, respectively.
4. APPLICATION OF MILLIMETER WAVES TO THE DETERMINATION OF WATER CONTENT
As was pointed out in
Introduction, the losses
in water increase with frequency; hence, in the MM wave rangew,
is very large (Table 5). The results of Table 5 are in a good agreement
with [4]. Therefore, MM waves are very attractive the determination of low
content of water in materials and media. Some results on the application of the
MM aquametry to powders and liquids are presented in [3, 5-8].
Table 5. Dielectric properties
of water
|
l, mm |
T, C |
e |
e |
a,
dB/mm |
|
10 |
20 25 30 |
23.5 26.7 29.8 |
31.9 33.1 33.7 |
15.5 15.3 15.1 |
|
2 |
20 25 30 |
6.3 6.5 6.8 |
8.8 9.7 10.5 |
41.1 43.7 46.1 |
5. CONCLUSION
The measurements of the
transparency of a wine material at two frequencies (2.3 and 9 GHz) in the
microwave range allow us to develop a nondestructive, in-flow, and real-time
method for determining the alcohol and sugar content in these liquids. In the
case of juices, it suffices to carry out the measurements at a single frequency
point.
MW and MM waves can be used
for measuring the water content in some other substances of interest for food
industry. Our investigations of water emulsions in oil [8] have shown the
possibility to measure the water content in such emulsions with accuracy of
0.05% of water. Moreover, MW and MM waves allow us to measure the water content
in powders with accuracy of about 0.1- 0.2% or better [6].
5. ACKNOWLEDGMENT
The authors wish
to thank Prof. G. Sh. Kevanishvili, Georgian State Polytechnical University,
Tbilisi, Georgia, for his assistance in the measurements of wines, and to Dr.
L.I. Pangonis and Dr. M.P. Parkhomenko for joint investigations of emulsions
and powders.
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