Validity limits of the FJO thermogravitational column theory: Experimental and numerical analysis

Jose Antonio Madariaga; Carlos Santamaria; Haritz Barrutia; M. Mounir Bou-Ali; Oscar Ecenarro; Jose Javier Valencia

doi:10.1016/j.crme.2011.03.004

Validity limits of the FJO thermogravitational column theory: Experimental and numerical analysis

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

Comptes Rendus. Mécanique, Thermodiffusion and coupled phenomena, Volume 339 (2011) no. 5, pp. 292-296.

Abstract

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: $Gr Sc ⩽ 1000 A$ , 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.

Published online: 2011-04-21

DOI: 10.1016/j.crme.2011.03.004

Keywords: Thermogravitational columns, FJO theory, Thermal diffusion coefficient, Mass separation, Transport properties

Author's affiliations:

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, Thermodiffusion and coupled phenomena, 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/

References
Cited by

[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

Cited by Sources:

Comments - Policy