For a Newtonian fluid in laminar flow between two parallel plates, the Navier-Stokes equation simplifies to:
\[
\frac{d^2 v_x}{dy^2} = \frac{1}{\mu} \frac{dp}{dx}
\]
where \( v_x \) is the velocity in the x-direction, \( \mu \) is the dynamic viscosity, and \(
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