Write the divergence of the dyad \(ho \boldsymbol{v} \boldsymbol{v}\) in index notation. Expand the derivatives using the chain rule.

Write the continuity equation in index notation and use this in the expanded expression for the divergence of the above dyad. Simplify and show that the result is \((\boldsymbol{v} \cdot abla) \boldsymbol{v}\). Hence verify that Eq. (5.5) is the same as Eq. (5.2).

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+(v.V) at V)v) = - =pg Vp+V.7 (5.2)