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W ater is flowing under laminar conditions in a pipe of length L . If the diameter of the pipe is
doubled, for a constant volumetric flow rate, the pressure drop across the pipe
doubled, for a constant volumetric flow rate, the pressure drop across the pipe
- a)decreases 2 times
- b)decreases 16 times
- c)increases 2 times
- d)increases 16 times
Correct answer is option 'B'. Can you explain this answer?
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W ater is flowing under laminar conditions in a pipe of length L . If ...
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W ater is flowing under laminar conditions in a pipe of length L . If ...
Explanation:
The pressure drop across a pipe is directly proportional to the length of the pipe, the viscosity of the fluid, and the velocity of the fluid, and inversely proportional to the diameter of the pipe and the density of the fluid.
When the diameter of the pipe is doubled, the velocity of the fluid decreases by a factor of 4, according to the continuity equation. This is because the volumetric flow rate is constant, and the area of the pipe is proportional to the square of its diameter.
Therefore, the pressure drop across the pipe decreases by a factor of 16, according to the Bernoulli equation, which relates the pressure, velocity, and elevation of a fluid in motion. This is because the velocity term in the equation is squared, and the density term is assumed to be constant.
Hence, the correct answer is option 'B', which states that the pressure drop across the pipe decreases 16 times when the diameter of the pipe is doubled for a constant volumetric flow rate.
The pressure drop across a pipe is directly proportional to the length of the pipe, the viscosity of the fluid, and the velocity of the fluid, and inversely proportional to the diameter of the pipe and the density of the fluid.
When the diameter of the pipe is doubled, the velocity of the fluid decreases by a factor of 4, according to the continuity equation. This is because the volumetric flow rate is constant, and the area of the pipe is proportional to the square of its diameter.
Therefore, the pressure drop across the pipe decreases by a factor of 16, according to the Bernoulli equation, which relates the pressure, velocity, and elevation of a fluid in motion. This is because the velocity term in the equation is squared, and the density term is assumed to be constant.
Hence, the correct answer is option 'B', which states that the pressure drop across the pipe decreases 16 times when the diameter of the pipe is doubled for a constant volumetric flow rate.
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W ater is flowing under laminar conditions in a pipe of length L . If the diameter of the pipe isdoubled, for a constant volumetric flow rate, the pressure drop across the pipea)decreases 2 timesb)decreases 16 timesc)increases 2 timesd)increases 16 timesCorrect answer is option 'B'. Can you explain this answer?
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W ater is flowing under laminar conditions in a pipe of length L . If the diameter of the pipe isdoubled, for a constant volumetric flow rate, the pressure drop across the pipea)decreases 2 timesb)decreases 16 timesc)increases 2 timesd)increases 16 timesCorrect answer is option 'B'. 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 W ater is flowing under laminar conditions in a pipe of length L . If the diameter of the pipe isdoubled, for a constant volumetric flow rate, the pressure drop across the pipea)decreases 2 timesb)decreases 16 timesc)increases 2 timesd)increases 16 timesCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for W ater is flowing under laminar conditions in a pipe of length L . If the diameter of the pipe isdoubled, for a constant volumetric flow rate, the pressure drop across the pipea)decreases 2 timesb)decreases 16 timesc)increases 2 timesd)increases 16 timesCorrect answer is option 'B'. Can you explain this answer?.
W ater is flowing under laminar conditions in a pipe of length L . If the diameter of the pipe isdoubled, for a constant volumetric flow rate, the pressure drop across the pipea)decreases 2 timesb)decreases 16 timesc)increases 2 timesd)increases 16 timesCorrect answer is option 'B'. 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 W ater is flowing under laminar conditions in a pipe of length L . If the diameter of the pipe isdoubled, for a constant volumetric flow rate, the pressure drop across the pipea)decreases 2 timesb)decreases 16 timesc)increases 2 timesd)increases 16 timesCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for W ater is flowing under laminar conditions in a pipe of length L . If the diameter of the pipe isdoubled, for a constant volumetric flow rate, the pressure drop across the pipea)decreases 2 timesb)decreases 16 timesc)increases 2 timesd)increases 16 timesCorrect answer is option 'B'. Can you explain this answer?.
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W ater is flowing under laminar conditions in a pipe of length L . If the diameter of the pipe isdoubled, for a constant volumetric flow rate, the pressure drop across the pipea)decreases 2 timesb)decreases 16 timesc)increases 2 timesd)increases 16 timesCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for W ater is flowing under laminar conditions in a pipe of length L . If the diameter of the pipe isdoubled, for a constant volumetric flow rate, the pressure drop across the pipea)decreases 2 timesb)decreases 16 timesc)increases 2 timesd)increases 16 timesCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of W ater is flowing under laminar conditions in a pipe of length L . If the diameter of the pipe isdoubled, for a constant volumetric flow rate, the pressure drop across the pipea)decreases 2 timesb)decreases 16 timesc)increases 2 timesd)increases 16 timesCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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