Namespaces
Variants
Actions

Stream function

From Encyclopedia of Mathematics
Revision as of 17:26, 7 February 2011 by 127.0.0.1 (talk) (Importing text file)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

The continuity equation for an incompressible fluid with velocity vector is , or

For two-dimensional motion in the -plane, this gives

and there is thus a stream function such that

References

[a1] "Modern developments in fluid dynamics" S. Goldstein (ed.) , 1 , Dover, reprint (1965) pp. Chapt. III
[a2] G.K. Batchelor, "An introduction to fluid dynamics" , Cambridge Univ. Press (1967) pp. Chapt. 2.2
How to Cite This Entry:
Stream function. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Stream_function&oldid=32571
This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article