Difference between revisions of "Circulation"
Jump to navigation
Jump to search
(a start on this important concept) |
DavidB4-bot (talk | contribs) (→See also: Category) |
||
| (2 intermediate revisions by 2 users not shown) | |||
| Line 6: | Line 6: | ||
[[Green's Theorem]] provides a method for easily calculating circulations. | [[Green's Theorem]] provides a method for easily calculating circulations. | ||
| − | [[Category: | + | |
| − | [[Category: | + | ==See also== |
| − | [[Category: | + | *[[Atmospheric general circulation model]] |
| + | |||
| + | [[Category:Vector Analysis]] | ||
| + | [[Category:Calculus]] | ||
| + | [[Category:Mathematics]] | ||
Latest revision as of 20:17, July 29, 2016
The circulation of a function is the summation of the values it takes at each point on a closed curve (a loop), which is also known as its line integral over a contour. For a conservative vector field, the circulation is zero, but the circulation of the velocity of a fluid is rarely zero.
A mathematical expression for the circulation of the vector Pi + Qj is over contour C:
- <math>\oint_{C} (P\, \mathrm{d}x + Q\, \mathrm{d}y)</math>
Green's Theorem provides a method for easily calculating circulations.