Can Non-Newtonian Fluids Predict Pole (De)acceleration in Oobleck?

[eisenstein]

Here is the problem.

I drop a pole (say length L, mass M, radius R) on a non-Newtonian fluid (corn starch and water) with impact velocity v. The density and viscosity of the oobleck is known, and I know the dimensions of the oobleck container (a square box of length S filled up to height H, so the volume is H*S*S). I want to model the (de)acceleration of the pole as a function of v. Is this possible?

 

[cjl]

The viscosity is known as a function of shear stress? If so, it's possible, but it is a pretty complicated problem, and I doubt an analytical solution is available (computational methods would be required).