- #1

- 36

- 1

[tex]

u=(u,v,w)

[/tex]

[tex]

(\nabla u + (\nabla u)^T) : \nabla u

[/tex]

I get the following by doing the dot product of the first term and then adding the dot product of the second term, but I'm pretty sure it isn't correct.

[tex]

2\left(\frac{\partial u}{\partial x}\right)^2

+ 2\left(\frac{\partial v}{\partial y}\right)^2

+ 2\left(\frac{\partial w}{\partial z}\right)^2

[/tex]

Could someone please shed some light on how the double inner product should work?

Thanks