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How can I expand this term ∇∙(φuu)

  1. Sep 30, 2009 #1
    How can I expand this term ∇∙(φuu) and ∇∙(T×u)

    ∇∙(φuu) where φ is a scalar and u is a vector


    ∇∙(T×u) where T is a second order tensor and u is a vector.
    Last edited: Sep 30, 2009
  2. jcsd
  3. Sep 30, 2009 #2
    I found out that the solution for
    ∇∙(φuu) is φu∙∇u+u[∇∙(φu)]
    for this the solution is just seemed like
    ∇∙(φuu) is φu∙∇u+u[∇∙(φu)]
    ∇∙(AB) is A∙∇B+B[∇∙(A)]
    but I just can't fill in the step correctly in between
    ∇∙(T×u) is -u×(∇∙T)+T
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