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Original Articles

ON SINGULAR BOUNDARY CONDITIONS IN MASS TRANSFER ACROSS RECTANGULAR ENCLOSURES

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Pages 65-75 | Received 04 Jun 1981, Accepted 25 Aug 1981, Published online: 24 Oct 2007
 

Abstract

In modeling mass transfer across rectangular enclosures one is confronted with singular velocity boundary conditions at the geometrical corners of the enclosure. Solutions to such a problem obtained, e.g., from a finite difference scheme, may then depend on the particular way the singularities are handled. The uncertainty in the solutions is studied for a vapor crystal growth sample case, by comparing results obtained in two extreme codes, corresponding to slip and non-slip, respectively, at the corners. It is found that (within the realm of the model used) the total mass transport across the enclosure, the sublimation and the condensation fluxes at the interfaces, and the concentration profile are unaffected by the choice of codes. The velocity field, however, is affected adjacent to the singularities.

Additional information

Notes on contributors

B.S. JHAVERI∗

Now at ARCO Oil and Gas Company, Research and Development, P.O. Box 2819, Dallas, TX 75221.

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