Free-surface conditions

From Glossary of Meteorology

free-surface conditions

Mathematical conditions on the velocity and stress at the material boundary of a fluid.

The first condition is that the tangential component of velocity is continuous across a material boundary separating a fluid and another medium. The second condition is that the difference between the values of the stress on two surface elements parallel to the boundary and immediately on either side of it is a normal force due wholly to surface tension.

Batchelor, G. K. 1967. An Introduction to Fluid Dynamics. Cambridge University Press, . 148–151.

Copyright 2022 American Meteorological Society (AMS). For permission to reuse any portion of this work, please contact Any use of material in this work that is determined to be “fair use” under Section 107 of the U.S. Copyright Act (17 U.S. Code § 107) or that satisfies the conditions specified in Section 108 of the U.S.Copyright Act (17 USC § 108) does not require AMS’s permission. Republication, systematic reproduction, posting in electronic form, such as on a website or in a searchable database, or other uses of this material, except as exempted by the above statement, require written permission or a license from AMS. Additional details are provided in the AMS Copyright Policy statement.