What is the unit of divergence
As an example, consider air as it is heated or cooled.3.the divergence of a vector field is the rate at whichdensityexists in a given region of space.It turns out that this operation can be expressed as the dot product.The amount of flux per unit volume in a region around some point.(is a measure of how much a field comes together or flies apart.).This article defines the divergence of a vector field in detail.
Multiplying by the volume element d τ implies that ( ∇ ⋅ v) d τ has units of ( length) 2 = area.A formal definition of divergence.This ratio is called the divergence.So, the key part you were missing is that you.F → = f 1 i → + f 2 j → + f 3 k →.Taking the derivative of a quantity having units of c/m2 with respect to distance yields a quantity having units of c/m3.
2.divergence of vector quantity indicates how much the vector spreads out from the certain point.If we have a function f(x), and we take its derivative, we're basically measuring \frac{\delta f}{\delta x} for vanishingly small \delta x.That is, the curl of a gradient is the zero vector.If diffluence is negative, it is called confluence, and if speed divergence is negative it is called speed convergence).If the velocity vector field has units of m/s, the the curl or divergence of the velocity vector field has units of 1/s.
