1. (12 pts) There are three steps: (Total 50 points) 1)If a tensor Xij is symmetric and tensor Yy is anti-symmetric(or skew symmetric), show that XujVj = 0 2) Show that turbulence mean flow velocity gradient out can be rewritten as a sum of a symmetric tensor Sij and an anti-symmetric tensor $), where Sy => + ) is the mean flow strain rate tensor. What is lij? 3) Prove that BUL – Susu Su axi

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