For turbulent flow of an incompressible fluid through a pipe, the flow rate „Q‟ is proportional to (Δ P)n, where ΔP is the pressure drop. The value of exponent 'n' is_________________?
Correct answer: C. < 1
- A. 1
- B. 0
- C. < 1
- D. > 1
Explanation
In turbulent pipe flow, pressure drop varies approximately as a power of velocity greater than one, such as ΔP proportional to velocity raised to about 1.75 to 2. Since Q is proportional to velocity, Q varies as a fractional power of ΔP, so n is less than one.
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