[dreamchaser]

Hello,

I have a question regarding couette flow. The problem involves the flow between two parallel plates where the top plate is moving with some velocity U and the bottom plate is stationary. There is some lubricant between the two plates.) There is no applied pressure gradient (dp/dx=0). Boundary Conditions for the problem include

u=0 @ y=0
u=U @ y=a (top moving plate)

I have not begun to the model the problem but would like to know what pressure will be created between the two plates? And will there be a pressure gradient created in the y-direction? My main objective is to analyze the pressure distribution.

I was reading my fluid mechanics book about applying bernoulli's equation to the in-viscid flow region outside the boundary layer which states dpdx=-p*U*dU/dx where p is density. I believe they got this by:

1) p1/p + V1^2/2 = p2/p + V2^2/2 (assume V1 is zero)
2) (p1-p2)=p* V2^2/2 (Taking partial with respect to x now)
3) d(p1-p2)/dx= p*V2*dV2/dx
4) dp/dx = p*V2*dV2/dx

I assume that if I want to see a pressure variation in the simulation, I will have to model it as transient.

I thank you in advance for any insight you can provide.