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A pipe line carrying water has surface protrusions of average height 0.10 mm. If the shear stress developed is 7.85 N/m2, then the pipe surface will act as
  • a)
    smooth
  • b)
    rough
  • c)
    transition
  • d)
    data insufficient
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A pipe line carrying water has surface protrusions of average height 0...

Since roughness value lies between 4 and 100 the pipe act as in transition.
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Most Upvoted Answer
A pipe line carrying water has surface protrusions of average height 0...

Explanation:

Surface Protrusions:
- The average height of surface protrusions on the pipe is 0.10 mm.

Shear Stress:
- The shear stress developed is 7.85 N/m2.

Roughness Criteria:
- In fluid mechanics, the roughness of a surface is determined by comparing the height of surface protrusions with the shear stress acting on the surface.
- The roughness criteria parameter used to determine the flow condition is the relative roughness (ε/D), where ε is the height of the surface protrusions and D is the hydraulic diameter of the pipe.

Transition Flow:
- When the relative roughness is between 0.005 and 0.05, the flow condition is considered to be in the transition region.
- In this case, the relative roughness can be calculated as ε/D = 0.10 mm / D.
- Since the value of D is not provided, we cannot directly determine the flow condition.
- Therefore, the correct answer is that the pipe surface will act as a transition surface.

Therefore, the correct answer is option C) transition.
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A pipe line carrying water has surface protrusions of average height 0.10 mm. If the shear stress developed is 7.85 N/m2, then the pipe surface will act asa)smoothb)roughc)transitiond)data insufficientCorrect answer is option 'C'. Can you explain this answer?
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