Simultaneous determination of the viscosity and density of liquids is of great importance in the monitoring of technological processes in the chemical, petroleum, and pharmaceutical industry, as well as in geophysics. In this paper, the authors present the application of Love waves for simultaneous inverse determination of the viscosity and density of liquids. The inversion procedure is based on measurements of the dispersion curves of phase velocity and attenuation of ultrasonic Love waves. The direct problem of the Love wave propagation in a layered waveguide covered by a viscous liquid was formulated and solved. Love waves propagate in an elastic layered waveguide covered on its surface with a viscous (Newtonian) liquid. The inverse problem is formulated as an optimization problem with appropriately constructed objective function that depends on the material properties of an elastic waveguide of the Love wave, material parameters of a liquid (i.e., viscosity and density), and the experimental data. The results of numerical calculations show that Love waves can be efficiently applied to determine simultaneously the physical properties of liquids (i.e., viscosity and density). Sensors based on this method can be very attractive for industrial applications to monitor on-line the parameters (density and viscosity) of process liquid during the course of technological processes, e.g., in polymer industry.

1.
P.
Kiełczyński
,
W.
Pajewski
, and
M.
Szalewski
, “
Admittance of axially polarized piezoceramic cylinders loaded with a viscoelastic liquid
,”
J. Appl. Phys.
91
(
12
),
10181
10187
(
2002
).
2.
H. K.
Oh
,
W.
Wang
,
K.
Lee
,
C.
Min
, and
S.
Yang
, “
The development of a wireless Love wave biosensor on 41o YX LiNbO3
,”
Smart Mater. Struct.
18
,
025008
(
2009
).
3.
F.
Jin
,
Z.
Qian
,
Z.
Wang
, and
K.
Kishimoto
, “
Propagation behavior of Love waves in a piezoelectric layered structure with inhomogeneous initial stress
,”
Smart Mater. Struct.
14
,
515
523
(
2005
).
4.
P.
Kiełczyński
,
W.
Pajewski
,
M.
Szalewski
, and
A.
Balcerzak
, “
Measurement of the shear storage modulus and viscosity of liquids using the Bleustein-Gulyaev wave
,”
Rev. Sci. Instrum.
75
,
2362
2367
(
2004
).
5.
B.
Jakoby
and
M. J.
Vellekoop
, “
Properties of Love waves: Applications in sensors
,”
Smart Mater. Struct.
6
,
668
679
(
1997
).
6.
E.
Gizeli
, “
Design considerations for the acoustic waveguide biosensor
,”
Smart Mater. Struct.
6
,
700
706
(
1997
).
7.
G. L.
Harding
and
J.
Du
, “
Design and properties of quartz-based Love wave acoustic sensors incorporating silicon dioxide and PMMA guiding layers
,”
Smart Mater. Struct.
6
,
716
720
(
1997
).
8.
P.
Kiełczyński
,
M.
Szalewski
, and
A.
Balcerzak
, “
Inverse problem of the Love wave propagation in elastic waveguides loaded with a viscous liquid
,” in
Proceedings of the IEEE International Ultrasonics Symposium, Dresden, Germany
(
2012
), pp.
1501
1504
.
9.
X.
Tong
and
D.
Zhang
, “
Novel propagation direction of quasi-longitudinal leaky surface acoustic wave on on quartz and its potential as liquid sensors
,”
Sens. Actuators
78
,
160
162
(
1999
).
10.
C.
Aristegui
,
M. J. S.
Lowe
, and
P.
Cawley
, “
Guided waves in fluid-filled pipes surrounded by different fluid
,”
Ultrasonics
39
,
367
375
(
2001
).
11.
V. I.
Anisimkin
,
N. V.
Voronova
, and
G. N.
Galanov
, “
Applicability of acoustic plate modes with quasi-longitudinal polarization to liquid parameterization
,”
J. Commun. Technol. Electron.
55
,
1052
1056
(
2010
).
12.
A. J.
Rostocki
,
R. M.
Siegoczyński
,
P.
Kiełczyński
, and
M.
Szalewski
, “
An application of Love SH waves for the viscosity measurement of triglycerides at high pressures
,”
High Press. Res.
30
,
88
92
(
2010
).
13.
P.
Kiełczyński
,
M.
Szalewski
,
A.
Balcerzak
,
A. J.
Rostocki
, and
D. B.
Tefelski
, “
Application of SH surface acoustic waves for measuring the viscosity of liquids in function of pressure and temperatures
,”
Ultrasonics
51
,
921
924
(
2011
).
14.
P.
Kiełczyński
and
M.
Szalewski
, “
An inverse method for determining the elastic properties of thin layers using Love surface waves
,”
Inv. Probl. Sci. Eng.
19
,
31
43
(
2011
).
15.
P.
Kiełczyński
,
M.
Szalewski
, and
A.
Balcerzak
, “
Effect of viscous loading on Love wave propagation
,”
Int. J. Solids Struct.
49
,
2314
2319
(
2012
).
16.
P.
Kiełczyński
, “
Attenuation of Love waves in low-loss media
,”
J. Appl. Phys.
82
(
12
),
5932
5937
(
1997
).
17.
N.
Doy
,
G.
McHale
,
M. I.
Newton
,
C.
Hardacre
,
R.
Ge
,
R. W.
Allen
, and
J. M.
MacInnes
, “
Separate density and viscosity determination of room temperature ionic liquids using dual quartz crystal microbalances
,” In
IEEE Sensors 2009 Conference
(
IEEE
, 2009), pp.
287
290
.
18.
F.
Herrmann
,
D.
Hahn
, and
S.
Buttgenbach
, “
Separate determination of liquid density and viscosity with sagittally corrugated Love-mode sensors
,”
Sens. Actuators, A
78
,
99
107
(
1999
).
19.
J. O.
Kim
and
H. H.
Bau
, “
Instrument for simultaneous measurement of density and viscosity
,”
Rev. Sci. Instrum.
60
,
1111
1115
(
1989
).
20.
C.
Riesch
,
E. K.
Reichel
,
F.
Keplinger
, and
B.
Jakoby
, “
Characterizing vibrating cantilevers for liquid viscosity and density sensing
,”
J. Sens.
2008
,
697062
.
21.
G.
Lévêque
,
J. Y.
Ferrandis
,
J.
Van Est
, and
B.
Cros
, “
An acoustic sensor for simultaneous density and viscosity measurements in liquids
,”
Rev. Sci. Instrum.
71
,
1433
1440
(
2000
).
22.
W. Y.
Shih
,
X.
Li
,
H.
Gu
,
W. H.
Shih
, and
I. A.
Aksay
, “
Simultaneous liquid viscosity and density determination with piezoelectric unimorph cantilevers
,”
J. Appl. Phys.
89
(
2
),
1497
1505
(
2001
).
23.
G. R.
Liu
and
X.
Han
,
Computational Inverse Techniques in Nondestructive Evaluation
(
CRC Press
,
London
,
2003
).
24.
H.
Seiner
and
M.
Landa
, “
Sensitivity analysis of an inverse procedure for determination of elastic coefficients for strong anisotropy
,”
Ultrasonics
43
,
253
263
(
2005
).
25.
B.
Jakoby
,
R.
Beigelbeck
,
F.
Keplinger
,
F.
Lucklum
,
A.
Niedermayer
,
T.
Voglhuber-Brunnmaier
, and
B.
Weiss
, “
Miniaturized sensors for the viscosity and density of liquids—Performance and issues
,”
IEEE Trans. Ultrason., Ferroelectr., Freq. Control
57
(
1
),
111
120
(
2010
).
26.
C. A.
Grimes
,
D.
Kouzoudis
, and
C.
Mungle
, “
Simultaneous measurement of liquid density and viscosity using remote query magnetoelastic sensors
,”
Rev. Sci. Instrum.
71
(
10
),
3822
3824
(
2000
).
27.
I.
Goubaidoulline
,
J.
Reuber
,
R.
Merz
, and
D.
Johannsmann
, “
Simultaneous determination of density and viscosity of liquids based on quartz crystal resonators covered with nanoporous alumina
,”
J. Appl. Phys.
98
(
1
),
014305
(
2005
).
28.
S.
Radel
and
E.
Benes
, “
Utilisation of layered piezoelectric resonators for the online measurement of mass density and viscosity of fluids
,”
Elektrotech. Information
126
(
1–2
),
19
30
(
2009
).
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