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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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