Finally, it is tempting to try to scale the enhancement. It looks almost linear in M. If we divide out M, we find that for large M, there is no M variation.
![[Graphics:../Images/lubricatedflow_gr_126.gif]](../Images/lubricatedflow_gr_126.gif)
![[Graphics:../Images/lubricatedflow_gr_128.gif]](../Images/lubricatedflow_gr_128.gif)
![[Graphics:../Images/lubricatedflow_gr_129.gif]](../Images/lubricatedflow_gr_129.gif)
![[Graphics:../Images/lubricatedflow_gr_130.gif]](../Images/lubricatedflow_gr_130.gif)
![[Graphics:../Images/lubricatedflow_gr_131.gif]](../Images/lubricatedflow_gr_131.gif)
![[Graphics:../Images/lubricatedflow_gr_132.gif]](../Images/lubricatedflow_gr_132.gif)
![[Graphics:../Images/lubricatedflow_gr_133.gif]](../Images/lubricatedflow_gr_133.gif)
![[Graphics:../Images/lubricatedflow_gr_134.gif]](../Images/lubricatedflow_gr_134.gif)
![[Graphics:../Images/lubricatedflow_gr_135.gif]](../Images/lubricatedflow_gr_135.gif)
![[Graphics:../Images/lubricatedflow_gr_137.gif]](../Images/lubricatedflow_gr_137.gif)
![[Graphics:../Images/lubricatedflow_gr_138.gif]](../Images/lubricatedflow_gr_138.gif)
We see that the scaling is correct and that the maximum enhancement is about 50% of the viscosity ratio. Now you know enough to tell if this process for transporting oil will be worthwhile!