Stream function
From Encyclopedia of Mathematics
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=18599
Stream function. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Stream_function&oldid=18599
This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article