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A Newtonian fluid of viscosity $\mu$ flows between two parallel plates due to the motion of the bottom plate (as shown below), which is moved with a velocity $V$. The top plate is stationary.


The steady, laminar velocity profile in the $x$ -direction is

  1. $V[\frac{y}{b}]$
  2. $V[(\frac{y}{b})^{2}-1]$
  3. $V[1 -(\frac{y}{b})^{2}$]
  4. $V[1 -\frac{y}{b}$]
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