I have a simple question about computing wall shear stresses: what is the difference between:
(1) tau_w=mu*grad(U) | y=0
(1) tau_W=mu [ grad(U)-grad(U)^T ] . n
where mu is the viscosity, U the velocity and n the surface normal.
the second one makes no sense to me, why would you substract a transposed tensor from it's original? Where did you find this formula?
It can be found in several books about mechanics; there it is treated as the generalization of newtons law. The term even appears in the incompressible navier stokes equation.
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