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The friction factor for fully developed turbulent flow through a rough circular pipe depends on

  • a)
    Reynolds number

  • b)
    Relative roughness

  • c)
    both Reynolds number and relative roughness

  • d)
    none

Correct answer is option 'D'. Can you explain this answer?
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Friction factor for fully developed turbulent flow through a rough circular pipe

Friction factor is a dimensionless quantity that is used to quantify the amount of frictional losses in a fluid flowing through a pipe. It is denoted by the symbol f.

Fully developed turbulent flow

Fully developed turbulent flow is a type of flow that occurs when the fluid flowing through a pipe has reached a stable state. This means that the velocity profile across the pipe is constant and does not change with time.

Dependence on Reynolds number

The Reynolds number is a dimensionless quantity that is used to determine the type of flow regime that exists in a pipe. It is denoted by the symbol Re. The friction factor for fully developed turbulent flow through a pipe is dependent on the Reynolds number. This means that as the Reynolds number increases, the friction factor also increases.

Dependence on relative roughness

Relative roughness is a dimensionless quantity that is used to determine the roughness of the inner surface of a pipe. It is denoted by the symbol ε/D, where ε is the roughness height and D is the diameter of the pipe. The friction factor for fully developed turbulent flow through a pipe is also dependent on the relative roughness. This means that as the relative roughness increases, the friction factor also increases.

Conclusion

Based on the above discussion, we can conclude that the friction factor for fully developed turbulent flow through a rough circular pipe depends on both the Reynolds number and the relative roughness. Therefore, option 'C' is the correct answer. However, the given answer is option 'D' which means none, which is incorrect.
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The friction factor for fully developed turbulent flow through a rough...
Option c formula is 64/Re
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The friction factor for fully developed turbulent flow through a rough circular pipe depends ona)Reynolds numberb)Relative roughnessc)both Reynolds number and relative roughnessd)noneCorrect answer is option 'D'. Can you explain this answer?
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