Difference between revisions of "Continuity equation"
From Encyclopedia of Mathematics
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One of the basic equations in hydrodynamics, expressing the law of conservation of mass for any volume of a moving fluid (or gas). In Euler variables the continuity equation has the form | One of the basic equations in hydrodynamics, expressing the law of conservation of mass for any volume of a moving fluid (or gas). In Euler variables the continuity equation has the form | ||
Revision as of 15:35, 28 March 2013
One of the basic equations in hydrodynamics, expressing the law of conservation of mass for any volume of a moving fluid (or gas). In Euler variables the continuity equation has the form
 |
where 
is the density of the fluid, 
is its velocity at a given point, and 
are the projections of the velocity on the coordinate axes. If the fluid is incompressible 
, then the continuity equation takes the form
 |
For a stationary one-dimensional flow in a tube, canal, etc., with cross-sectional area 
, the continuity equation gives the law 
for the flow.
How to Cite This Entry:
Continuity equation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Continuity_equation&oldid=13303
Continuity equation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Continuity_equation&oldid=13303
This article was adapted from an original article by BSE-3 (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article