The present work contributes to the development of the shadowgraph method for its routine application for an accurate determination of the Fick diffusion coefficient D11 of binary fluid mixtures. In this context, measurement and data evaluation strategies for thermodiffusion experiments where confinement and advection are potentially present are elaborated by studying two binary liquid mixtures with positive and negative Soret coefficients, i.e., 1,2,3,4-tetrahydronaphthalene/n-dodecane and acetone/cyclohexane. For obtaining accurate D11 data, the dynamics of non-equilibrium fluctuations in concentration is analyzed considering recent theory by data evaluation procedures that are demonstrated to be suitable for different experimental configurations.
REFERENCES
1.
U.
Hampel
, M.
Schubert
, A.
Döß
, J.
Sohr
, V.
Vishwakarma
, J. U.
Repke
, S. J.
Gerke
, H.
Leuner
, M.
Rädle
, V.
Kapoustina
, L.
Schmitt
, M.
Grünewald
, J. H.
Brinkmann
, D.
Plate
, E. Y.
Kenig
, N.
Lutters
, L.
Bolenz
, F.
Buckmann
, D.
Toye
, W.
Arlt
, T.
Linder
, R.
Hoffmann
, H.
Klein
, S.
Rehfeldt
, T.
Winkler
, H. J.
Bart
, D.
Wirz
, J.
Schulz
, S.
Scholl
, W.
Augustin
, K.
Jasch
, F.
Schlüter
, N.
Schwerdtfeger
, S.
Jahnke
, A.
Jupke
, C.
Kabatnik
, A. S.
Braeuer
, M.
D’Auria
, T.
Runowski
, M. F.
Casal
, K.
Becker
, A. L.
David
, A.
Górak
, M.
Skiborowski
, K.
Groß
, and H.
Qammar
, Chem. Ing. Tech.
92
, 926
(2020
).2.
G.
Emig
and E.
Klemm
, Technische Chemie: Einführung in Die Chemische Reaktionstechnik
, 5th ed. (Springer-Verlag
, Berlin, Heidelberg
, 2005
).3.
M.
Kraume
, Transportvorgänge in Der Verfahrenstechnik
(Springer-Verlag
, Berlin, Heidelberg
, 2012
).4.
L.
Zhu
, G. J. M.
Koper
, and D.
Bedeaux
, J. Phys. Chem. A
110
, 4080
(2006
).5.
J. P.
Jenkinson
and R.
Pollard
, J. Electrochem. Soc.
131
, 2911
(1984
).6.
7.
S.
Kjelstrup
and G.M.
de Koeijer
, Chem. Eng. Sci.
58
, 1147
(2003
).8.
M.
Kraume
, S.
Enders
, A.
Drews
, R.
Schomäcker
, S.
Engell
, and K.
Sundmacher
, Integrated Chemical Processes in Liquid Multiphase Systems
(De Gruyter
, Berlin, Boston
, 2022
).9.
10.
11.
S. R.
De Groot
, Physica
9
, 699
(1942
).12.
S. R.
de Groot
and P.
Mazur
, Non-Equilibrium Thermodynamics
(North-Holland Publishing Company
, Amsterdam
, 1969
).13.
J. M.
Ortiz de Zárate
and J. V.
Sengers
, Hydrodynamic Fluctuations in Fluids and Fluid Mixtures
, 1st ed. (Elsevier B.V.
, Amsterdam
, 2006
).14.
A.
Vailati
and M.
Giglio
, Nature
390
, 262
(1997
).15.
I.
Lizarraga
, C.
Giraudet
, F.
Croccolo
, M. M.
Bou-Ali
, and H.
Bataller
, Microgravity Sci. Technol.
28
, 545
(2016
).16.
D.
Zapf
and W.
Köhler
, J. Chem. Phys.
153
, 224902
(2020
).17.
18.
B. J.
Berne
and R.
Pecora
, Dynamic Light Scattering: With Applications to Chemistry, Biology and Physics
, 1st ed. (Dover Publications
, Mineola, NY
, 2000
).19.
A. P.
Fröba
, “Dynamic light scattering (DLS) for the characterization of working fluids in chemical and energy engineering
,” Habilitation thesis (Friedrich-Alexander-Universität Erlangen-Nürnberg
, Erlangen
, 2009
).20.
W.
Wu
, T.
Klein
, M.
Kerscher
, M. H.
Rausch
, T. M.
Koller
, C.
Giraudet
, and A. P.
Fröba
, J. Phys. Chem. B
124
, 2482
(2020
).21.
S.
Wiegand
, H.
Ning
, and H.
Kriegs
, J. Phys. Chem. B
111
, 14169
(2007
).22.
23.
C.
Giraudet
, H.
Bataller
, Y.
Sun
, A.
Donev
, J. M.
Ortiz de Zárate
, and F.
Croccolo
, Eur. Phys. J. E
39
, 120
(2016
).24.
C.
Giraudet
, H.
Bataller
, Y.
Sun
, A.
Donev
, J. M.
Ortiz de Zárate
, and F.
Croccolo
, Epl
111
, 60013
(2015
).25.
F.
Croccolo
and H.
Bataller
, Eur. Phys. J. E
39
, 132
(2016
).26.
F.
Croccolo
, C.
Giraudet
, H.
Bataller
, R.
Cerbino
, and A.
Vailati
, Microgravity Sci. Technol.
28
, 467
(2016
).27.
R.
Cerbino
, Y.
Sun
, A.
Donev
, and A.
Vailati
, Sci. Rep.
5
, 14486
(2015
).28.
A.
Vailati
, R.
Cerbino
, S.
Mazzoni
, M.
Giglio
, C. J.
Takacs
, and D. S.
Cannell
, J. Phys.: Condens. Matter
24
, 284134
(2012
).29.
W.
Wu
, J. H.
Jander
, M. H.
Rausch
, A. P.
Fröba
, and C.
Giraudet
, J. Chem. Phys.
153
, 144201
(2020
).30.
F.
Croccolo
, L.
García-Fernández
, H.
Bataller
, A.
Vailati
, and J. M.
Ortiz de Zárate
, Phys. Rev. E
99
, 012602
(2019
).31.
H.
Bataller
, T.
Triller
, B.
Pur
, W.
Köhler
, J. M.
Ortiz de Zárate
, and F.
Croccolo
, Eur. Phys. J. E
40
, 35
(2017
).32.
L.
García-Fernández
, P.
Fruton
, H.
Bataller
, J. M.
Ortiz de Zárate
, and F.
Croccolo
, Eur. Phys. J. E
42
, 124
(2019
).33.
A. T.
Ndjaka
, L.
García-Fernández
, D. E. B.
Bouyou
, A.
Lassin
, M.
Azaroual
, F.
Croccolo
, and H.
Bataller
, Eur. Phys. J. E
45
, 20
(2022
).34.
A.
Oprisan
and A.
Leilani Payne
, Opt. Commun.
290
, 100
(2013
).35.
A.
Oprisan
, S.
Oprisan
, and A.
Teklu
, Appl. Opt.
49
, 86
(2010
).36.
R.
Cerbino
, “Shadowgraphic study of convection in a colloidal suspension
,” Ph.D. thesis (Università degli Studi di Milano
, Milan
, 2005
).37.
R.
Cerbino
, S.
Mazzoni
, A.
Vailati
, and M.
Giglio
, Phys. Rev. Lett.
94
, 064501
(2005
).38.
V. M.
Shevtsova
, D. E.
Melnikov
, and J. C.
Legros
, Phys. Rev. E
73
, 047302
(2006
).39.
A.
Ryskin
, H. W.
Müller
, and H.
Pleiner
, Phys. Rev. E
67
, 046302
(2003
).40.
A.
Vailati
and M.
Giglio
, Phys. Rev. Lett.
77
, 1484
(1996
).41.
F.
Croccolo
, D.
Brogioli
, A.
Vailati
, M.
Giglio
, and D. S.
Cannell
, Appl. Opt.
45
, 2166
(2006
).42.
F.
Croccolo
, H.
Bataller
, and F.
Scheffold
, J. Chem. Phys.
137
, 234202
(2012
).43.
H.
Bataller
, C.
Miqueu
, F.
Plantier
, J.-L.
Daridon
, T. J.
Jaber
, A.
Abbasi
, M. Z.
Saghir
, and M. M.
Bou-Ali
, J. Chem. Eng. Data
54
, 1710
(2009
).44.
J. K.
Platten
, M. M.
Bou-Ali
, P.
Costesèque
, J. F.
Dutrieux
, W.
Köhler
, C.
Leppla
, S.
Wiegand
, and G.
Wittko
, Philos. Mag.
83
, 1965
(2003
).45.
G.
Wittko
and W.
Köhler
, Eur. Phys. J. E
21
, 283
(2006
).46.
G.
Wittko
, “Über den Einfluss molekularer Parameter auf die Transporteigenschaften organischer Lösungsmittel
,” Ph.D. thesis (Universität Bayreuth
, Bayreuth
, 2007
).47.
B.
González
, Á.
Domínguez
, and J.
Tojo
, J. Chem. Eng. Data
50
, 1462
(2005
).48.
B.
Pur
, W.
Köhler
, and K. I.
Morozov
, J. Chem. Phys.
152
, 054501
(2020
).49.
A.
Mialdun
and V. M.
Shevtsova
, Int. J. Heat Mass Transfer
51
, 3164
(2008
).50.
A.
Mialdun
and V. M.
Shevtsova
, Microgravity Sci. Technol.
21
, 31
(2009
).51.
G.
Cerchiari
, F.
Croccolo
, F.
Cardinaux
, and F.
Scheffold
, Rev. Sci. Instrum.
83
, 106101
(2012
).52.
F.
Croccolo
, F.
Scheffold
, and H.
Bataller
, C. R. Mec.
341
, 378
(2013
).53.
E. W.
Lemmon
, I. H.
Bell
, M. L.
Huber
, and M. O.
McLinden
, NIST Standard Reference Database 23: Reference Fluid Thermodynamic and Transport Properties - REFPROP, Version 10.0
(NIST, Gaithersburg, MD
, 2018
).© 2023 Author(s). Published under an exclusive license by AIP Publishing.
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