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Which one of the following statements is not correct in the context of laminar flow through a pipeline?
- a)Shear stress is zero at the center and varies linearly with pipe radius
- b)Head loss is proportional to square of the average flow velocity
- c)The friction factor varies inversely with flow Reynolds number
- d)No dispersion of die injected into the flow stream
Correct answer is option 'D'. Can you explain this answer?
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Which one of the following statements is not correct in the context o...
A die injected into the flow stream will form a streak line and if the flow is steady then it will be equivalent to stream and path line. So the die will disperse.
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Which one of the following statements is not correct in the context o...
Explanation:
In the context of laminar flow through a pipeline, the statement that is not correct is option D.
Shear Stress:
- In laminar flow, the fluid particles move in parallel layers, with each layer sliding over the adjacent layer with no mixing between them.
- The velocity of the fluid is maximum at the center of the pipeline and decreases towards the pipe walls.
- Shear stress is the force per unit area acting tangentially to the fluid flow direction.
- In laminar flow, the shear stress is zero at the center of the pipeline and varies linearly with the pipe radius. This is because there is no relative motion between the fluid layers at the center, resulting in zero shear stress, and the shear stress increases linearly towards the pipe walls.
Head Loss:
- Head loss refers to the loss of pressure energy as the fluid flows through the pipeline due to friction.
- In laminar flow, head loss is proportional to the square of the average flow velocity. This is known as the Hagen-Poiseuille equation, which applies to laminar flow in a circular pipe.
Friction Factor:
- The friction factor is a dimensionless quantity that represents the resistance to flow due to pipe wall friction.
- In laminar flow, the friction factor varies inversely with the flow Reynolds number. The Reynolds number is a dimensionless parameter that characterizes the flow regime. In laminar flow, the Reynolds number is low, and the friction factor is relatively high.
Dispersion of dye:
- In laminar flow, there is no dispersion of dye injected into the flow stream. This means that the dye particles will not mix or spread out in the fluid flow and will maintain their initial concentration profile.
Therefore, option D is not correct in the context of laminar flow through a pipeline.
In the context of laminar flow through a pipeline, the statement that is not correct is option D.
Shear Stress:
- In laminar flow, the fluid particles move in parallel layers, with each layer sliding over the adjacent layer with no mixing between them.
- The velocity of the fluid is maximum at the center of the pipeline and decreases towards the pipe walls.
- Shear stress is the force per unit area acting tangentially to the fluid flow direction.
- In laminar flow, the shear stress is zero at the center of the pipeline and varies linearly with the pipe radius. This is because there is no relative motion between the fluid layers at the center, resulting in zero shear stress, and the shear stress increases linearly towards the pipe walls.
Head Loss:
- Head loss refers to the loss of pressure energy as the fluid flows through the pipeline due to friction.
- In laminar flow, head loss is proportional to the square of the average flow velocity. This is known as the Hagen-Poiseuille equation, which applies to laminar flow in a circular pipe.
Friction Factor:
- The friction factor is a dimensionless quantity that represents the resistance to flow due to pipe wall friction.
- In laminar flow, the friction factor varies inversely with the flow Reynolds number. The Reynolds number is a dimensionless parameter that characterizes the flow regime. In laminar flow, the Reynolds number is low, and the friction factor is relatively high.
Dispersion of dye:
- In laminar flow, there is no dispersion of dye injected into the flow stream. This means that the dye particles will not mix or spread out in the fluid flow and will maintain their initial concentration profile.
Therefore, option D is not correct in the context of laminar flow through a pipeline.
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Which one of the following statements is not correct in the context of laminar flow through a pipeline?a) Shear stress is zero at the center and varies linearly with pipe radiusb) Head loss is proportional to square of the average flow velocityc) The friction factor varies inversely with flow Reynolds numberd) No dispersion of die injected into the flow streamCorrect answer is option 'D'. Can you explain this answer?
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Which one of the following statements is not correct in the context of laminar flow through a pipeline?a) Shear stress is zero at the center and varies linearly with pipe radiusb) Head loss is proportional to square of the average flow velocityc) The friction factor varies inversely with flow Reynolds numberd) No dispersion of die injected into the flow streamCorrect answer is option 'D'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Which one of the following statements is not correct in the context of laminar flow through a pipeline?a) Shear stress is zero at the center and varies linearly with pipe radiusb) Head loss is proportional to square of the average flow velocityc) The friction factor varies inversely with flow Reynolds numberd) No dispersion of die injected into the flow streamCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which one of the following statements is not correct in the context of laminar flow through a pipeline?a) Shear stress is zero at the center and varies linearly with pipe radiusb) Head loss is proportional to square of the average flow velocityc) The friction factor varies inversely with flow Reynolds numberd) No dispersion of die injected into the flow streamCorrect answer is option 'D'. Can you explain this answer?.
Which one of the following statements is not correct in the context of laminar flow through a pipeline?a) Shear stress is zero at the center and varies linearly with pipe radiusb) Head loss is proportional to square of the average flow velocityc) The friction factor varies inversely with flow Reynolds numberd) No dispersion of die injected into the flow streamCorrect answer is option 'D'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Which one of the following statements is not correct in the context of laminar flow through a pipeline?a) Shear stress is zero at the center and varies linearly with pipe radiusb) Head loss is proportional to square of the average flow velocityc) The friction factor varies inversely with flow Reynolds numberd) No dispersion of die injected into the flow streamCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which one of the following statements is not correct in the context of laminar flow through a pipeline?a) Shear stress is zero at the center and varies linearly with pipe radiusb) Head loss is proportional to square of the average flow velocityc) The friction factor varies inversely with flow Reynolds numberd) No dispersion of die injected into the flow streamCorrect answer is option 'D'. Can you explain this answer?.
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