Axial Compressors and Turbines

With the definition of the work coefficient in (6.4a) and (6.4b), we can now write from (4.22a) to (4.22d) the nondimensional azimuthal velocity component expressions as follows:$$ \frac{{{{c}_{\rm{u1}}}}}{u} = \left({1 - \hat{r}} \right) - \frac{\Psi}{4} $$ $$ \frac{{{{c}_{\rm{u2}}}}}{u} = \left({1 - \hat{r}} \right) + \frac{\Psi}{4} $$ $$ \frac{{{{w}_{\rm{u1}}}}}{u} = \hat{r} + \frac{\Psi}{4} $$