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Barodiffusion in a binary mixture at a rotating disk

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Abstract

Barodiffusion (diffusion of matter brought about by pressure gradients) in an isothermal, incompressible, Newtonian, binary mixture set in steady, laminar, axisymmetric motion by an infinite rotating disk is considered. The problem is formulated with isotopic mixtures in view.

Results on the separative action in the configuration are given for a small barodiffusion numberBd which is proportional to the difference between the molecular weights of the two components and the ratio of the pressure variations in the flow field to the reference pressure, taking the Schmidt number to be of order unity and including the effect of suction at the disk.

Zusammenfassung

Es wird die Barodiffusion (durch Druckgradienten hervorgerufene Trennungseffekte) in einer isothermen, inkompressiblen, Newtonschen, binären Mischung betrachtet, die durch eine unendliche rotierende Scheibe in stationärer, laminarer, axialsymmetrischer Bewegung gehalten wird. Bei der Problemstellung wurde die Anwendung auf Isotopengemische ins Auge gefaßt.

Ergebnisse über die Trennfähigkeit der Konfiguration werden angegeben für kleine BarodiffusionszahlenBd, welche proportional zur Differenz der beiden Molekulargewichte und zu dem Verhältnis der Druckänderung zum Bezugsdruck sind, und für Schmidtzahlen (Verhältnis von Molekulardiffusionskoeffizient zu kinematischer Zähigkeit) der Ordnung 1, auch mit Berücksichtigung von Absaugen an der Scheibe.

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Authors and Affiliations

  1. Institut für Angewandte Mathematik und Mechanik der Deutschen Forschungs- und Versuchsanstalt für Luft- und Raumfahrt e. V., Freiburg i. Br., West Germany

    Gabbita S. R. Sarma

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  1. Gabbita S. R. Sarma
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Sarma, G.S.R. Barodiffusion in a binary mixture at a rotating disk. Journal of Applied Mathematics and Physics (ZAMP) 24, 789–800 (1973). https://doi.org/10.1007/BF01590789

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  • DOI: https://doi.org/10.1007/BF01590789

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