Divergent of a dot product of tensor and vector
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Hei, I am trying to derive energy equation from Navier-Stokes equation and I come across this:
$$nabla.(sigma.v)=(nabla.sigma).v +sigma:nabla v$$
$sigma $ is the stress tensor
V :is the velocity vector
Could anyone thankfully explain this and if that is correct?
vector-analysis
asked Nov 23 at 14:39
Farhan
487
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up vote
0
down vote
favorite
Hei, I am trying to derive energy equation from Navier-Stokes equation and I come across this:
$$nabla.(sigma.v)=(nabla.sigma).v +sigma:nabla v$$
$sigma $ is the stress tensor
V :is the velocity vector
Could anyone thankfully explain this and if that is correct?
vector-analysis
asked Nov 23 at 14:39
Farhan
487
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Hei, I am trying to derive energy equation from Navier-Stokes equation and I come across this:
$$nabla.(sigma.v)=(nabla.sigma).v +sigma:nabla v$$
$sigma $ is the stress tensor
V :is the velocity vector
Could anyone thankfully explain this and if that is correct?
vector-analysis
asked Nov 23 at 14:39
Farhan
487
Hei, I am trying to derive energy equation from Navier-Stokes equation and I come across this:
$$nabla.(sigma.v)=(nabla.sigma).v +sigma:nabla v$$
$sigma $ is the stress tensor
V :is the velocity vector
Could anyone thankfully explain this and if that is correct?
vector-analysis
vector-analysis
asked Nov 23 at 14:39
Farhan
487
asked Nov 23 at 14:39
Farhan
487
asked Nov 23 at 14:39
Farhan
487
asked Nov 23 at 14:39
Farhan
487
asked Nov 23 at 14:39
Farhan
487
487
add a comment |
add a comment |
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