The packed thermal diffusion column

Lorenz, M. R.; EMERY, ALDEN H.

doi:10.1016/0009-2509(59)80069-5

Cited by 97 publications

(33 citation statements)

References 9 publications

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“…In the range of permeability greater than 10 4 md, the convection becomes dominant and the Soret effect is suppressed. By neglecting the solutal buoyancy force and assuming constant molecular and thermal diffusion coefficients, Lorenz and Emery [22] expressed a relation between the separation ratio and the permeability as…”

Section: Separation Ratiomentioning

confidence: 99%

“…where A, B and C are constants in the transport equation (see Lorenz and Emery [22] for additional details). BenanoMelly et al [15] showed that a maximum value for the separation ratio exists for a permeability κ = κ m given as follows; This analytical expression predicts that the maximum separation will occur at κ m = 11.9 md whereas our numerical calculation showed that separation occurs at κ m = 10 md.…”

Section: Separation Ratiomentioning

confidence: 99%

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Two-dimensional numerical simulation of thermo-gravitational convection in a vertical porous column filled with a binary fluid mixture

Jiang

Saghir

Kawaji

et al. 2004

International Journal of Thermal Sciences

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Section: Separation Ratiomentioning

confidence: 99%

Section: Separation Ratiomentioning

confidence: 99%

Two-dimensional numerical simulation of thermo-gravitational convection in a vertical porous column filled with a binary fluid mixture

Jiang

Saghir

Kawaji

et al. 2004

International Journal of Thermal Sciences

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“…Furry, Jones and Onsager [7] developed a fundamental theory to interpret the experimental processes of isotope separation. Lorenz and Emery [8] introduced a porous medium in the TGC columns to increase the separation. More recently, many works were carried out with the aim to increase the separation and to study the linear stability of Soret-driven convection in different configurations.…”

Section: Introductionmentioning

confidence: 99%

Influence of acoustic streaming on thermo-diffusion in a binary mixture under microgravity

Charrier-Mojtabi

Fontaine

Mojtabi

2012

International Journal of Heat and Mass Transfer

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a b s t r a c tAn analytical and numerical study of the influence of acoustic streaming on species separation of a binary mixture under microgravity is presented. A rectangular cell filled with binary fluid is submitted to an ultrasonic propagating wave along a portion of one of its small walls while the opposite wall is perfectly absorbing. A temperature gradient is applied between the two other walls. The unicellular flow induced by the Eckart streaming may lead to significant species separation. In a first part, the hypothesis of parallel flow is used to determine the analytical solution which describes the unicellular flow and the separation is calculated analytically based on the acoustic streaming parameter, A, the acoustic beam width, e, and the Schmidt number, Sc. Theses analytical results are corroborated by direct numerical simulations. In a second part, a linear stability analysis of the unicellular flow is performed. The eigenvalue problem resulting from the temporal stability analysis is solved by the Galerkin method, a spectral Tau-Chebychev method and by a finite element method. The thresholds for the stationary and oscillatory instability depend on the normalized acoustic beam width.

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“…Other works were related to the improvement of the experimental devices to increase separation. Lorenz and Emery [4] proposed the introduction of a porous medium into the cavity. Platten et al [5] used an inclined cavity, heated from the top, to increase separation.…”

Section: Introductionmentioning

confidence: 99%

Separation in an inclined porous thermogravitational cell

Elhajjar

Mojtabi

Costesèque

et al. 2010

International Journal of Heat and Mass Transfer

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a b s t r a c tThis paper reports a theoretical and numerical study of species separation in a binary liquid mixture saturating a shallow porous layer heated from below or from above and inclined with respect to the vertical axis. It is shown that the separation can be increased using this configuration and the stability of the unicellular flow obtained in this case is investigated. The critical Rayleigh number obtained is much higher than the one leading to the maximum separation. Experiments performed with a solution of CuSO 4 give results which are almost in good agreement with the analytical and the numerical results.

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The packed thermal diffusion column

Cited by 97 publications

References 9 publications

Two-dimensional numerical simulation of thermo-gravitational convection in a vertical porous column filled with a binary fluid mixture

Two-dimensional numerical simulation of thermo-gravitational convection in a vertical porous column filled with a binary fluid mixture

Influence of acoustic streaming on thermo-diffusion in a binary mixture under microgravity

Separation in an inclined porous thermogravitational cell

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