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Divergence
Divergence

Divergence In vector calculus, divergence is a vector operator that measures the magnitude of a vector field’s source or sink at a given point, in terms of a signed scalar. More technically, the \divergence represents the volume density of the outward flux of a vector field from an infinitesimal volume around a given point. For […]

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Divergence

Divergence

In vector calculus, divergence is a vector operator that measures the magnitude of a vector field's source or sink at a given point, in terms of a signed scalar.

More technically, the \divergence represents the volume density of the outward flux of a vector field from an infinitesimal volume around a given point. For example,

consider air as it is heated or cooled. The relevant vector field for this example is the velocity of the moving air at a point.

If air is heated in a region it will expand in all \directions such that the velocity field points outward from that region. Therefore the \divergence of the velocity field in that region would have a positive value,

as the region is a source.

If the air cools and contracts, the \divergence is negative and the region is called a sink

 

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  • عنوان مقاله : Divergence
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