In N-S equation - (∂(ρu))/∂t+ ∇ .(ρuV)= - (∂p )/∂x+ ∂τxx/∂x+∂τyx/∂y+ ∂τyx/∂z+ ρ fx, what does the second term on the left hand side mean physically.
Some explanations state that the second term is just the influence of diverging path through which the fluid moves, some state that it is the convection term. I fail to correlate!
I know that the first term is the rate of change of momentum of the fluid particle, on the right hand side - Pressure acting on the fluid particle , the stress tensors and external forces if any.
"The second term on the left-hand side represents the net rate at which momentum leaves the control volume due to fluid motion across its boundaries" .
Hello Mr.Sravan
You may find a general explanation of Navier Stokes equation with the below link.
https://www.comsol.de/multiphysics/navier-stokes-equations
Hello Abdul Aziz,
Thank you for the elaboration.So, any change in the direction accounts to force if I understand it right. That is what is meant by the second term
I did not quite get this -
'You will surprise to know that not everything that change direction due to force.. a main standing without doing nothing can somehow change the law of physics.'
I cannot imagine the change in direction with out the application of force.
Sravan
Thank you Aziz. Yes, as you told, I cannot spend too much time understanding the physical significance. Now, I have a feel of it. That is enough to understand the influence of each term in the flow domain. I just consider the RHS terms as viscous forces and gravitational forces in case the latter is to be considered.
Dear
The concept of ∂p is the pressure difference.
The difference between which pressures?
Dear
The concept of ∂p is the pressure difference.
The difference between which pressures?
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