Hi, I'm having trouble understanding how to perform the following calculation:(adsbygoogle = window.adsbygoogle || []).push({});

[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

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Double inner product?

**Physics Forums | Science Articles, Homework Help, Discussion**