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For a flow passage described by A(x) = −ax + b [Where A is the cross-sectional area at a distance x from inlet and a, b are constants] predict the time taken by a fluid particle to move from inlet to outlet of the flow. The length of the flow passage is L. The flow through the passage is steady and free of compressibility and viscous effects.
Also it can be assumed that flow velocity at a section is uniform and parallel to the centerline of the passage. The flow rate through the passage is Q.
- a)aL2 + bL / Q
- b)Q / aL2 + bL 2
- c)−aL2 + bL2 / Q
- d)−aL2 / 2 + bL / Q
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
For a flow passage described by A(x) = −ax + b [Where A is the cross-...
Based on assumptions, the flow can be defined as U(x, t) = Q(t) / A(x)
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∴ U(x, t) = Q /−ax + b
where U is the flow velocity at section x when time instant is t. [Eulerian approach].
But actually it defines velocity of particle crossing section x at time instant. [Lagrangian approach]
∴ for particle U = dx / dt
∴ dx /dt =Q / (−ax + b)
(−ax + b)dx = Q dt
Most Upvoted Answer
For a flow passage described by A(x) = −ax + b [Where A is the cross-...
Based on assumptions, the flow can be defined as U(x, t) = Q(t) / A(x)
∴ U(x, t) = Q /−ax + b
where U is the flow velocity at section x when time instant is t. [Eulerian approach].
But actually it defines velocity of particle crossing section x at time instant. [Lagrangian approach]
∴ for particle U = dx / dt
∴ dx /dt =Q / (−ax + b)
(−ax + b)dx = Q dt
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For a flow passage described by A(x) = −ax + b [Where A is the cross-sectional area at a distance x from inlet and a, b are constants] predict the time taken by a fluid particle to move from inlet to outlet of the flow. The length of the flow passage is L. The flow through the passage is steady and free of compressibility and viscous effects.Also it can be assumed that flow velocity at a section is uniform and parallel to the centerline of the passage. The flow rate through the passage is Q.a) aL2 + bL / Qb) Q / aL2 + bL 2c) −aL2 + bL2 / Qd) −aL2 / 2 + bL / QCorrect answer is option 'D'. Can you explain this answer?
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For a flow passage described by A(x) = −ax + b [Where A is the cross-sectional area at a distance x from inlet and a, b are constants] predict the time taken by a fluid particle to move from inlet to outlet of the flow. The length of the flow passage is L. The flow through the passage is steady and free of compressibility and viscous effects.Also it can be assumed that flow velocity at a section is uniform and parallel to the centerline of the passage. The flow rate through the passage is Q.a) aL2 + bL / Qb) Q / aL2 + bL 2c) −aL2 + bL2 / Qd) −aL2 / 2 + bL / QCorrect 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 For a flow passage described by A(x) = −ax + b [Where A is the cross-sectional area at a distance x from inlet and a, b are constants] predict the time taken by a fluid particle to move from inlet to outlet of the flow. The length of the flow passage is L. The flow through the passage is steady and free of compressibility and viscous effects.Also it can be assumed that flow velocity at a section is uniform and parallel to the centerline of the passage. The flow rate through the passage is Q.a) aL2 + bL / Qb) Q / aL2 + bL 2c) −aL2 + bL2 / Qd) −aL2 / 2 + bL / QCorrect 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 For a flow passage described by A(x) = −ax + b [Where A is the cross-sectional area at a distance x from inlet and a, b are constants] predict the time taken by a fluid particle to move from inlet to outlet of the flow. The length of the flow passage is L. The flow through the passage is steady and free of compressibility and viscous effects.Also it can be assumed that flow velocity at a section is uniform and parallel to the centerline of the passage. The flow rate through the passage is Q.a) aL2 + bL / Qb) Q / aL2 + bL 2c) −aL2 + bL2 / Qd) −aL2 / 2 + bL / QCorrect answer is option 'D'. Can you explain this answer?.
For a flow passage described by A(x) = −ax + b [Where A is the cross-sectional area at a distance x from inlet and a, b are constants] predict the time taken by a fluid particle to move from inlet to outlet of the flow. The length of the flow passage is L. The flow through the passage is steady and free of compressibility and viscous effects.Also it can be assumed that flow velocity at a section is uniform and parallel to the centerline of the passage. The flow rate through the passage is Q.a) aL2 + bL / Qb) Q / aL2 + bL 2c) −aL2 + bL2 / Qd) −aL2 / 2 + bL / QCorrect 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 For a flow passage described by A(x) = −ax + b [Where A is the cross-sectional area at a distance x from inlet and a, b are constants] predict the time taken by a fluid particle to move from inlet to outlet of the flow. The length of the flow passage is L. The flow through the passage is steady and free of compressibility and viscous effects.Also it can be assumed that flow velocity at a section is uniform and parallel to the centerline of the passage. The flow rate through the passage is Q.a) aL2 + bL / Qb) Q / aL2 + bL 2c) −aL2 + bL2 / Qd) −aL2 / 2 + bL / QCorrect 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 For a flow passage described by A(x) = −ax + b [Where A is the cross-sectional area at a distance x from inlet and a, b are constants] predict the time taken by a fluid particle to move from inlet to outlet of the flow. The length of the flow passage is L. The flow through the passage is steady and free of compressibility and viscous effects.Also it can be assumed that flow velocity at a section is uniform and parallel to the centerline of the passage. The flow rate through the passage is Q.a) aL2 + bL / Qb) Q / aL2 + bL 2c) −aL2 + bL2 / Qd) −aL2 / 2 + bL / QCorrect answer is option 'D'. Can you explain this answer?.
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For a flow passage described by A(x) = −ax + b [Where A is the cross-sectional area at a distance x from inlet and a, b are constants] predict the time taken by a fluid particle to move from inlet to outlet of the flow. The length of the flow passage is L. The flow through the passage is steady and free of compressibility and viscous effects.Also it can be assumed that flow velocity at a section is uniform and parallel to the centerline of the passage. The flow rate through the passage is Q.a) aL2 + bL / Qb) Q / aL2 + bL 2c) −aL2 + bL2 / Qd) −aL2 / 2 + bL / QCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for For a flow passage described by A(x) = −ax + b [Where A is the cross-sectional area at a distance x from inlet and a, b are constants] predict the time taken by a fluid particle to move from inlet to outlet of the flow. The length of the flow passage is L. The flow through the passage is steady and free of compressibility and viscous effects.Also it can be assumed that flow velocity at a section is uniform and parallel to the centerline of the passage. The flow rate through the passage is Q.a) aL2 + bL / Qb) Q / aL2 + bL 2c) −aL2 + bL2 / Qd) −aL2 / 2 + bL / QCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of For a flow passage described by A(x) = −ax + b [Where A is the cross-sectional area at a distance x from inlet and a, b are constants] predict the time taken by a fluid particle to move from inlet to outlet of the flow. The length of the flow passage is L. The flow through the passage is steady and free of compressibility and viscous effects.Also it can be assumed that flow velocity at a section is uniform and parallel to the centerline of the passage. The flow rate through the passage is Q.a) aL2 + bL / Qb) Q / aL2 + bL 2c) −aL2 + bL2 / Qd) −aL2 / 2 + bL / QCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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