Transport Phenomena _Lecture 11_R. Ravi

Lecture 11: Proof of some scalar/vector identities

Up to 10 min.: Vector identity involving cross product of two vectors (cont’d): manipulation involving product of two epsilon quantities.
10 min. - end: Identities involving curl and divergence operators; proof that divergence of the curl of a vector is zero; similarity in form to the scalar triple product; expression for the curl of the curl of a vector; introduction of the Laplacian operator; expression for the cross product of a vector with its curl.

Reference: R. Aris, Vectors, tensors and the equations of Fluid Mechanics

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