![[Graphics:../Images/creeping_sphere_gr_83.gif]](../Images/creeping_sphere_gr_83.gif)
Start with the continuity equation. We make the substitutions and we are pleased to see that the θ dependance of every term is the same. So far the "guessed" form of the solution is working.
Now let's work on the momentum equations,
![[Graphics:../Images/creeping_sphere_gr_84.gif]](../Images/creeping_sphere_gr_84.gif){kind=small}
![[Graphics:../Images/creeping_sphere_gr_85.gif]](../Images/creeping_sphere_gr_85.gif)
![[Graphics:../Images/creeping_sphere_gr_86.gif]](../Images/creeping_sphere_gr_86.gif){kind=small}
![[Graphics:../Images/creeping_sphere_gr_87.gif]](../Images/creeping_sphere_gr_87.gif)
back to objectives(mathematical)
We can now eliminate G(s) and its derivatives with the results from the continuity equation.
![[Graphics:../Images/creeping_sphere_gr_88.gif]](../Images/creeping_sphere_gr_88.gif){kind=small}
![[Graphics:../Images/creeping_sphere_gr_89.gif]](../Images/creeping_sphere_gr_89.gif)
![[Graphics:../Images/creeping_sphere_gr_90.gif]](../Images/creeping_sphere_gr_90.gif)