Comptes Rendus
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.

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: GrSc1000A, 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:
DOI: 10.1016/j.crme.2011.03.004
Keywords: 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
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     title = {Validity limits of the {FJO} thermogravitational column theory: {Experimental} and numerical analysis},
     journal = {Comptes Rendus. M\'ecanique},
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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/

[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

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