释义 |
curl For a vector function of position V(r)=Vx i + Vy j + Vz k, the curl of V is the vector product of the operator del, with V giving curl which can be written in determinant form as If V = ∇φ then curlV = 0 and if the domain of V is simply connected then curlV = 0 implies V = ∇φ for a scalar field φ. Curl relates to the local rotation of a field; for example, if V is the velocity field of a fluid flow, a small ball of fluid will rotate in the direction of curlV, and with an angular speed half the magnitude of curlV. Compare divergence, gradient.
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