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For a fully developed turbulent flow of an incompressible Newtonian fluid through a pipe of constant diameter, which of the following statements is/are $\text{CORRECT?}$

  1. Reynolds stress, averaged over a sufficiently long time, is zero everywhere inside the pipe.
  2. Reynolds stress at the pipe wall is zero.
  3. Average velocity of the fluid is half of its center-line velocity.
  4. Average pressure gradient in the flow direction is constant.
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