
If you are referring to the terms in the Reynolds stress tensor, your friend is correct. The term for such a representation is dyadic.


They are not the same thing. The outer product of two vectors is another vector. The inner product of two vectors is, of course, a scalar. The dyadic product of two vectors is a tensor of order 2 (since the vectors are each tensors of order 1). When you write the index notation (ui)(uj) without any caveats, it generally implies the dyadic product.

I just looked and according to wiki (i know, i know) the outer product does produce a tensor. Are you sure about your answer?


Sorry  I saw the symbol and my brain interpreted it as the cross product. Yes, the outer product results in the same thing as the dyadic product. It is not the same thing as the cross product, which produces a tensor of the same order as the original entries.

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