Figure 4.

Predictions for ${\eta }_1(\dot{ϵ})/G\lambda$ for the tumbling snake model with variable $\epsilon$ as a function of dimensionless elongation rate $\mathrm{Wi}$ for $N=100$ and various values of the parameters ${\epsilon }_0$ and ${\epsilon }_0^{\prime }$. (a) ${\epsilon }_0=0$, various ${\epsilon }_0^{\prime }$, (b) ${\epsilon }_0=0.1$, various ${\epsilon }_0^{\prime }$, (c,d) ${\epsilon }_0^{\prime }=0.1$, various ${\epsilon }_0$. The solid lines mark the predictions of the small rate expansion, Equation (24), or Equation (25) for the case of ${\epsilon }_0^{\prime }=0$. At large rates the viscosity approaches the value given by Equation (26).