# Couette Flow

Calculus Level pending

The flow between two parallel plates, with the upper plate moving with constant velocity $$U$$ and distance $$h$$ between them, can be described by the differential equation below: $\frac{d^2 u}{dy^2} =0,$ where $$u$$ is the flow velocity and $$y$$ is the distance from the lower plate. Considering that the distance between the plates is $$h = 1$$ mm and that the upper plate is moving with constant speed $$U = 1$$ m/s, which is the expression for the flow velocity $$u(y)$$ as a function of $$y$$?

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