1D Stress Tensor
What does the second and third terms of the stress tensor reduce to when dealing with the 1D compressible and viscous flow? (So only the pressure term remains)
stress tensor = -P +2*mu*D- 2/3*mu*div(v)
where D = the rate of strain deformation = 1/2*(grad(v)+grad(v)^T)
Thanks in advance!
well, just set all the derivatives wrt y and z to zero, so sth like div(v) will become du/dx...
Hi, Yeah I think I know how to get it mathematically:
stress tensor = -P +1/3*du/dx
I needed to check this as I was not sure what happens physically in a 1D case where a force is applied in the same plane as the fluid velocity (say x-direction).
Also the equation originally involves two viscous stress: the dynamic viscosity which relates stress two linear deformations and the second stress which relates stress to volumetric deformations. And I was not sure if the second one will be present in a 1D case.
I would appreciate any references to 1D shear stress equations. I have found one but I can't quite derive the same equation they have so not sure if its correct.
Thank you in advance!
not sure if this is what you are looking for, though....:confused::confused:
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