Multiple choice

The velocity profile in fully developed laminar flow in a pipe of diameter D is given by u = u0 (1 - 4r2/ D2), where r is the radial distance from the center. If the viscosity of the fluid is F, the pressure drop across a length L of the pipe is

  1. $\frac{\mu u_0L}{D^2}$
  2. $\frac{4\mu u_0L}{D^2}$
  3. $\frac{8\mu u_0L}{D^2}$
  4. $\frac{16\mu u_0L}{D^2}$
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D Correct answer
Explanation