Comptes Rendus
no. 5
Validity limits of the FJO thermogravitational column theory: Experimental and numerical analysis
Jose Antonio Madariaga1  ; Carlos Santamaria1  ; Haritz Barrutia2  ; M. Mounir Bou-Ali2  ; Oscar Ecenarro1  ; Jose Javier Valencia3
1 Departamento de Física Aplicada II, Universidad del País Vasco, Apdo. 644, 48080 Bilbao, Spain
2 Departamento de Fabricación de la Escuela Politécnica de Mondragón Unibertsitatea, Laramendi 4, Apdo. 23, 20500 Mondragón, Spain
3 Departamento de Ingeniería Mecánica, Energética y Materiales, Universidad Pública de Navarra, 31006 Pamplona, Spain
Comptes Rendus. Mécanique, Volume 339 (2011) no. 5, pp. 292-296.

In this article, the limits of the validity of the Furry, Jones and Onsager theory (FJO) has been studied both numerically and experimentally. The commercial Solver Fluent® (Fluent Inc.) has been used in this study, as a computational fluid dynamics (CFD) tool. It was used in order to simulate the variations of the steady separation that will take place in a thermogravitational column, over a wide range of the product of the Grashof number (Gr) and the Schmidt number (Sc). On the other hand, we have used a thermogravitational column for experimental measurements of the achieved stationary separation in two dilute mixtures of polystyrene in toluene. Separation measures were taken at different values of Grashof and Schmidt numbers.

Both the numerical and experimental results show the validity of the FJO theory whenever the work conditions satisfy the relation: GrSc⩽1000A, were A is the aspect ratio between the height of the thermogravitational column and the work gap (annular space). Outside the validity range the separation strongly decreases with respect to that given by the FJO theory.

Publié le :
DOI : 10.1016/j.crme.2011.03.004
Mots clés : Thermogravitational columns, FJO theory, Thermal diffusion coefficient, Mass separation, Transport properties
Jose Antonio Madariaga 1 ; Carlos Santamaria 1 ; Haritz Barrutia 2 ; M. Mounir Bou-Ali 2 ; Oscar Ecenarro 1 ; Jose Javier Valencia 3

1 Departamento de Física Aplicada II, Universidad del País Vasco, Apdo. 644, 48080 Bilbao, Spain
2 Departamento de Fabricación de la Escuela Politécnica de Mondragón Unibertsitatea, Laramendi 4, Apdo. 23, 20500 Mondragón, Spain
3 Departamento de Ingeniería Mecánica, Energética y Materiales, Universidad Pública de Navarra, 31006 Pamplona, Spain 
@article{CRMECA_2011__339_5_292_0,
     author = {Jose Antonio Madariaga and Carlos Santamaria and Haritz Barrutia and M. Mounir Bou-Ali and Oscar Ecenarro and Jose Javier Valencia},
     title = {Validity limits of the {FJO} thermogravitational column theory: {Experimental} and numerical analysis},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {292--296},
     publisher = {Elsevier},
     volume = {339},
     number = {5},
     year = {2011},
     doi = {10.1016/j.crme.2011.03.004},
     language = {en},
}
TY  - JOUR
AU  - Jose Antonio Madariaga
AU  - Carlos Santamaria
AU  - Haritz Barrutia
AU  - M. Mounir Bou-Ali
AU  - Oscar Ecenarro
AU  - Jose Javier Valencia
TI  - Validity limits of the FJO thermogravitational column theory: Experimental and numerical analysis
JO  - Comptes Rendus. Mécanique
PY  - 2011
SP  - 292
EP  - 296
VL  - 339
IS  - 5
PB  - Elsevier
DO  - 10.1016/j.crme.2011.03.004
LA  - en
ID  - CRMECA_2011__339_5_292_0
ER  - 
%0 Journal Article
%A Jose Antonio Madariaga
%A Carlos Santamaria
%A Haritz Barrutia
%A M. Mounir Bou-Ali
%A Oscar Ecenarro
%A Jose Javier Valencia
%T Validity limits of the FJO thermogravitational column theory: Experimental and numerical analysis
%J Comptes Rendus. Mécanique
%D 2011
%P 292-296
%V 339
%N 5
%I Elsevier
%R 10.1016/j.crme.2011.03.004
%G en
%F CRMECA_2011__339_5_292_0
Jose Antonio Madariaga; Carlos Santamaria; Haritz Barrutia; M. Mounir Bou-Ali; Oscar Ecenarro; Jose Javier Valencia. Validity limits of the FJO thermogravitational column theory: Experimental and numerical analysis. Comptes Rendus. Mécanique, Volume 339 (2011) no. 5, pp. 292-296. doi : 10.1016/j.crme.2011.03.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2011.03.004/

[1] W.H. Furry; R.C. Jones; L. Onsager Phys. Rev., 55 (1939), p. 1083

[2] M.M. Bou-Ali; O. Ecenarro; J.A. Madariaga; C.M. Santamaría; J.J. Valencia J. Phys.: Condens. Matter, 10 (1998), pp. 3321-3331

[3] J.J. Valencia; M.M. Bou-Ali; O. Ecenarro; J.A. Madariaga; C.M. Santamaría Thermal nonequilibrium phenomena in fluid mixtures (S. Wiegand; W. Köhler, eds.), Lectures Notes in Physics, vol. 584, Springer, Berlin, 2002, pp. 233-249

[4] H. Barrutia; J.A. Madariaga; M.M. Bou-Ali; C. Santamaría Mécanique des Fluides, 2 (2007), pp. 324-326

[5] P. Urteaga, M.M. Bou-Ali, C. Santamaría, J.A. Madariaga, D. Alonso De Mezquia, H. Bataller, J. Chem. Phys., submitted for publication.

[6] K.J. Zhang; M.E. Briggs; R.W. Gammon; J.V. Sengers J. Chem. Phys., 104 (1996), pp. 6881-6892

[7] J.K. Platten; M.M. Bou-Ali; P. Costesèque; J.F. Dutrieux; W. Köhler; C. Leppla; S. Wiegand; G. Wittko Philosophical Magazine, 83 (2003), pp. 1965-1971

[8] M.M. Bou-Ali; J.J. Valencia; J.A. Madariaga; C. Santamaría; O. Ecenarro; J.F. Dutrieux Philosophical Magazine, 83 (2003), pp. 2011-2015

[9] J.J. Valencia; M.M. Bou-Ali; J.K. Platten; O. Ecenarro; J.A. Madariaga; C.M. Santamaría J. Non-Equil. Thermodyn., 32 (2007), pp. 299-307

[10] K.J. Zhang; M.E. Briggs; R.W. Gammon; J.V. Sengers J. Chem. Phys., 111 (1999), pp. 2270-2282

[11] J. Rauch; W. Köhler J. Chem. Phys., 119 (2003), pp. 11977-11988

Cité par Sources :

Commentaires - Politique

Ces articles pourraient vous intéresser

Microfluidic separation process by the Soret effect in biological fluids

Alain Martin; M. Mounir Bou-Ali; Haritz Barrutia; ...

C. R. Méca (2011)

The Rayleigh–Benard problem in extremely confined geometries with and without the Soret effect

Jean K. Platten; Manuel Marcoux; Abdelkader Mojtabi

C. R. Méca (2007)