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Divergence of dyadic product of a dyadic and vector

  1. Jul 17, 2013 #1
    I would like to take divergence of the following expression

    ∇.((xi × xj × xk)/r^3), which is a triadic.

    here × denote a dyadic product and r=mod(r vector) and xi, xj and xk are the components of r vector. So, the above eq. can also be written as

    ∇.((xixjxk ei×ej×ek)/r^3), where ei, ej and ek are unit vectors in i, j and kth directions.

    I know how to take divergence of a dyadic. I guess that we can write the triadic as a product of dyadic and vector and then proceed. I am looking for the exact expression of the divergence of dyadic product of a dyadic and a vector.

    I would appreciate any help.

  2. jcsd
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