I'm looking for some good references on CFD predictions of shear patterns which develop between two parallel plates when the top plate is moving to the left at x ft/s and the lower plate is moving to the right at -x ft/s. The Reynolds numbers in all case should be above 10^5. Any assistance would be appreciated.

(1). It is a very unique question. (2). I would say that it is very close to the fully-developed 2-D channel flow problem,which has been used to develop and test the low Reynolds number two-equation turbulence models. (3). It is a 1-D problem. (still need a computer to solve it) The only difference is that your two walls are moving and there is a point in between which is stationary. On the other hand, for fully-developed channel flow, the two walls are stationary and the middle point is moving. (4). Schlichting's Boundary Layer Theory would be a good reference book. (if you fix the coordinate system on one moving wall, you can transform the problem into a one-moving wall problem. The other wall would become stationary.) So, at the same time, you can check out some papers on"low Reynolds number turbulence model".

Is it anyway similar to Coutte Flow?

Yogesh

Thank you all for the reponses.

The flow between two parallel plates moving in opposite directions is similar in concept to Couette flow, however, there is no net flow in this particular problem. Shear stress magnitude is a strong function of plate roughness and can be highly influenced by the dynmics occuring in the viscous sublayer. Hence, many of the standard two-equation turbulence models (with their associated shape functions) are inappropriate. I have thus turned to the k-w model for modeling the turbulence in the near wall region. Plate velocities in my application are quite high so the shape of the profile I expect between the plate will be far from linear.