The turbulent shear stress in a two-dimensional flow is given byExpanding v'x and v&#3...

The turbulent shear stress in a two-dimensional flow is given by

Expanding v'x and v'y in a Taylor series in x and y near the wall and with the aid of the continuity equation

show that, near the wall, εM ∼y3 + higher-order terms in y. How does this compare with the mixing-length theory?