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Proceedings Paper

Air-liquid meniscus in crystal growth
Author(s): Guozhen Tang
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Paper Abstract

We conside the interface separates a gas and a liquid, for example, the air-liquid meniscue in crystal growth — to solve the Laplace-Young equation 2 — b" y — 1(1 + y12)3/2 x(1 + y12)1/2 with the known endpoints y(r) = Ii and y —0 as x —p cxo, where 3 = 2o-o/gAp is a positive constant - the Laplace constant. When using Taylor expansion in y about y = h and integrating once from the base of the meniscus (y = 0), we obtain a relation 2 /3sinco — 2coso0 where c0 is contacting angle at point (i, /) and an approximate analytical expression foi tue interface AThen compared with accurate numerically computed values a better agreement is obtained

Keywords: crystal growth, air-liquid meniscue

Paper Details

Date Published: 5 August 1998
PDF: 3 pages
Proc. SPIE 3557, Current Developments in Optical Elements and Manufacturing, (5 August 1998); doi: 10.1117/12.318284
Show Author Affiliations
Guozhen Tang, Zhejiang Univ. (China)

Published in SPIE Proceedings Vol. 3557:
Current Developments in Optical Elements and Manufacturing
Qiming Xin; Robert E. Parks, Editor(s)

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