Steady simple shear of an Oldroyd-A fluid ($N_1=2(\mu -{\mu }_r)\tau {\dot{\gamma }}^2$)

For constant simple shear flow rate $s$, the nonpressure stress in the component-first gradient convention $L_{12}=s$ isThus the first normal-stress difference is $N_1=2(\mu -{\mu }_r)\tau s^2$, while the second is $N_2=-N_1$. Adding the incompressibility pressure changes neither difference.