Steady shear viscosity of a Johnson--Segalman--Oldroyd fluid
= Steady shear viscosity of a Johnson--Segalman--Oldroyd fluid
{c}
{title2=$\eta_{\rm sh}$}
For Gordon--Schowalter parameter $0<a<2$, the steady shear viscosity is
$$
\eta_{\rm sh}=\eta
\frac{1+a(2-a)\lambda_1\lambda_2\dot\gamma^2}
{1+a(2-a)\lambda_1^2\dot\gamma^2}.
$$
It is shear thinning when $\lambda_1>\lambda_2$.