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For a flow through a smooth pipe, the Fanning friction factor (f) is given by f =mRe−0.2 in the
turbulent flow regime, where Re is the Reynolds number and m is a constant. Water flowing
through a section of this pipe with a velocity 1m/s results in a frictional pressure drop of 10kPa. What
will be the pressure drop across this section (in kPa), when the velocity of water is 2 m/s?
  • a)
    11.5
  • b)
    20
  • c)
    34.8
  • d)
    40
Correct answer is option 'C'. Can you explain this answer?
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For a flow through a smooth pipe, the Fanning friction factor (f) is g...
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For a flow through a smooth pipe, the Fanning friction factor (f) is g...
⁻¹/₄, where m is a constant and Re is the Reynolds number. The Reynolds number is a dimensionless parameter that describes the flow regime and is given by Re = ρVD/μ, where ρ is the density of the fluid, V is the velocity, D is the diameter of the pipe, and μ is the dynamic viscosity of the fluid.

The Fanning friction factor is used to calculate the pressure drop in the pipe due to friction. The pressure drop is given by ΔP = f(ρV²/2)L/D, where L is the length of the pipe. The pressure drop increases with the length of the pipe and the velocity of the fluid, and decreases with the diameter of the pipe and the viscosity of the fluid.

The Fanning friction factor is often used in the Darcy-Weisbach equation, which relates the pressure drop to the flow rate and the properties of the pipe. The equation is given by ΔP = (fLρV²/2D)(Q/A)², where Q is the flow rate and A is the cross-sectional area of the pipe. The Darcy-Weisbach equation is widely used in engineering applications to design and analyze piping systems.
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For a flow through a smooth pipe, the Fanning friction factor (f) is given by f =mRe−0.2 in theturbulent flow regime, where Re is the Reynolds number and m is a constant. Water flowingthrough a section of this pipe with a velocity 1m/s results in a frictional pressure drop of 10kPa. Whatwill be the pressure drop across this section (in kPa), when the velocity of water is 2 m/s?a)11.5b)20c)34.8d)40Correct answer is option 'C'. Can you explain this answer?
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For a flow through a smooth pipe, the Fanning friction factor (f) is given by f =mRe−0.2 in theturbulent flow regime, where Re is the Reynolds number and m is a constant. Water flowingthrough a section of this pipe with a velocity 1m/s results in a frictional pressure drop of 10kPa. Whatwill be the pressure drop across this section (in kPa), when the velocity of water is 2 m/s?a)11.5b)20c)34.8d)40Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about For a flow through a smooth pipe, the Fanning friction factor (f) is given by f =mRe−0.2 in theturbulent flow regime, where Re is the Reynolds number and m is a constant. Water flowingthrough a section of this pipe with a velocity 1m/s results in a frictional pressure drop of 10kPa. Whatwill be the pressure drop across this section (in kPa), when the velocity of water is 2 m/s?a)11.5b)20c)34.8d)40Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a flow through a smooth pipe, the Fanning friction factor (f) is given by f =mRe−0.2 in theturbulent flow regime, where Re is the Reynolds number and m is a constant. Water flowingthrough a section of this pipe with a velocity 1m/s results in a frictional pressure drop of 10kPa. Whatwill be the pressure drop across this section (in kPa), when the velocity of water is 2 m/s?a)11.5b)20c)34.8d)40Correct answer is option 'C'. Can you explain this answer?.
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