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From a flow net diagram it is observed that distances between two consecutive streamlines at two consecutive cross-sections are 1 cm and 0.6 cm respectively. If the two sections are 1 m apart and velocity at the first section is 1 m/sec, find out the time taken by a fluid particle to move from the first to second section.
Correct answer is 'Range: 0.8 to 0.8'. Can you explain this answer?
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Verified Answer
From a flow net diagram it is observed that distances between two con...
V(x) = Q /A(x)
A(x) = A2 − A1 /L x + A1
A(x) = 0.006 b − 0.01 b / 1 + 0.01 b
A(x) = (−0.004 bx + 0.01 b) ⋯ ①
Also from section ①,
Q = A1 V1
⇒ Q = 0.01 b × 1
⇒ Q = 0.01 b ⋯ ②
Thus from ① and ②
V(x) = 0.01 b / −0.004 bx + 0.01 b
⇒ V(x) = 1 / 1 − 0.4x
But, considering steady state flow, the above expression in the Eulerian approach is equivalent to particle description in Lagrangian approach.
⇒dx / dt = 1 / 1 − 0.4x
⇒ (1 − 0.4x)dx = dt
⇒ ∫ (1 − 0.4x) dx= ∫ dt
⇒ [x − 0.2x2]|10 = t
⇒ (1 − 0.2) = t
⇒ t = 0.8 sec
Most Upvoted Answer
From a flow net diagram it is observed that distances between two con...
Given:
- Distances between two consecutive streamlines at two consecutive cross-sections:
- First cross-section: 1 cm
- Second cross-section: 0.6 cm
- Distance between the two cross-sections: 1 m
- Velocity at the first cross-section: 1 m/sec
To find:
The time taken by a fluid particle to move from the first to the second cross-section.
Assumptions:
- The flow is steady and laminar.
- The flow is uniform between the two cross-sections.
- The flow is two-dimensional and incompressible.
Explanation:
- The flow net diagram is a graphical representation of flow lines and equipotential lines.
- Flow lines are curves that are tangential to the velocity vector at every point.
- Equipotential lines are curves that are perpendicular to the flow lines and represent lines of equal hydraulic head.
- In a flow net, the distance between two consecutive flow lines is proportional to the velocity magnitude.
- In this case, the distance between two consecutive flow lines at the first cross-section is 1 cm, and at the second cross-section is 0.6 cm.
- Since the distance between the two cross-sections is 1 m, we can find the scale factor to convert the distances between flow lines to velocities.
Calculations:
- Scale factor = (Distance between two cross-sections) / (Distance between two consecutive flow lines at the first cross-section)
= 1 m / 1 cm
= 100 cm / 1 cm
= 100
- Velocity at the second cross-section = Scale factor * (Distance between two consecutive flow lines at the second cross-section)
= 100 * 0.6 cm
= 60 cm/sec
- Time taken to move from the first to the second cross-section = (Distance between two cross-sections) / (Velocity at the first cross-section)
= 1 m / 1 m/sec
= 1 sec
Conclusion:
The time taken by a fluid particle to move from the first to the second cross-section is 1 second.
- Distances between two consecutive streamlines at two consecutive cross-sections:
- First cross-section: 1 cm
- Second cross-section: 0.6 cm
- Distance between the two cross-sections: 1 m
- Velocity at the first cross-section: 1 m/sec
To find:
The time taken by a fluid particle to move from the first to the second cross-section.
Assumptions:
- The flow is steady and laminar.
- The flow is uniform between the two cross-sections.
- The flow is two-dimensional and incompressible.
Explanation:
- The flow net diagram is a graphical representation of flow lines and equipotential lines.
- Flow lines are curves that are tangential to the velocity vector at every point.
- Equipotential lines are curves that are perpendicular to the flow lines and represent lines of equal hydraulic head.
- In a flow net, the distance between two consecutive flow lines is proportional to the velocity magnitude.
- In this case, the distance between two consecutive flow lines at the first cross-section is 1 cm, and at the second cross-section is 0.6 cm.
- Since the distance between the two cross-sections is 1 m, we can find the scale factor to convert the distances between flow lines to velocities.
Calculations:
- Scale factor = (Distance between two cross-sections) / (Distance between two consecutive flow lines at the first cross-section)
= 1 m / 1 cm
= 100 cm / 1 cm
= 100
- Velocity at the second cross-section = Scale factor * (Distance between two consecutive flow lines at the second cross-section)
= 100 * 0.6 cm
= 60 cm/sec
- Time taken to move from the first to the second cross-section = (Distance between two cross-sections) / (Velocity at the first cross-section)
= 1 m / 1 m/sec
= 1 sec
Conclusion:
The time taken by a fluid particle to move from the first to the second cross-section is 1 second.
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From a flow net diagram it is observed that distances between two consecutive streamlines at two consecutive cross-sections are 1 cm and 0.6 cm respectively. If the two sections are 1 m apart and velocity at the first section is 1 m/sec, find out the time taken by a fluid particle to move from the first to second section.Correct answer is 'Range: 0.8 to 0.8'. Can you explain this answer?
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From a flow net diagram it is observed that distances between two consecutive streamlines at two consecutive cross-sections are 1 cm and 0.6 cm respectively. If the two sections are 1 m apart and velocity at the first section is 1 m/sec, find out the time taken by a fluid particle to move from the first to second section.Correct answer is 'Range: 0.8 to 0.8'. 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 From a flow net diagram it is observed that distances between two consecutive streamlines at two consecutive cross-sections are 1 cm and 0.6 cm respectively. If the two sections are 1 m apart and velocity at the first section is 1 m/sec, find out the time taken by a fluid particle to move from the first to second section.Correct answer is 'Range: 0.8 to 0.8'. 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 From a flow net diagram it is observed that distances between two consecutive streamlines at two consecutive cross-sections are 1 cm and 0.6 cm respectively. If the two sections are 1 m apart and velocity at the first section is 1 m/sec, find out the time taken by a fluid particle to move from the first to second section.Correct answer is 'Range: 0.8 to 0.8'. Can you explain this answer?.
From a flow net diagram it is observed that distances between two consecutive streamlines at two consecutive cross-sections are 1 cm and 0.6 cm respectively. If the two sections are 1 m apart and velocity at the first section is 1 m/sec, find out the time taken by a fluid particle to move from the first to second section.Correct answer is 'Range: 0.8 to 0.8'. 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 From a flow net diagram it is observed that distances between two consecutive streamlines at two consecutive cross-sections are 1 cm and 0.6 cm respectively. If the two sections are 1 m apart and velocity at the first section is 1 m/sec, find out the time taken by a fluid particle to move from the first to second section.Correct answer is 'Range: 0.8 to 0.8'. 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 From a flow net diagram it is observed that distances between two consecutive streamlines at two consecutive cross-sections are 1 cm and 0.6 cm respectively. If the two sections are 1 m apart and velocity at the first section is 1 m/sec, find out the time taken by a fluid particle to move from the first to second section.Correct answer is 'Range: 0.8 to 0.8'. Can you explain this answer?.
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From a flow net diagram it is observed that distances between two consecutive streamlines at two consecutive cross-sections are 1 cm and 0.6 cm respectively. If the two sections are 1 m apart and velocity at the first section is 1 m/sec, find out the time taken by a fluid particle to move from the first to second section.Correct answer is 'Range: 0.8 to 0.8'. Can you explain this answer?, a detailed solution for From a flow net diagram it is observed that distances between two consecutive streamlines at two consecutive cross-sections are 1 cm and 0.6 cm respectively. If the two sections are 1 m apart and velocity at the first section is 1 m/sec, find out the time taken by a fluid particle to move from the first to second section.Correct answer is 'Range: 0.8 to 0.8'. Can you explain this answer? has been provided alongside types of From a flow net diagram it is observed that distances between two consecutive streamlines at two consecutive cross-sections are 1 cm and 0.6 cm respectively. If the two sections are 1 m apart and velocity at the first section is 1 m/sec, find out the time taken by a fluid particle to move from the first to second section.Correct answer is 'Range: 0.8 to 0.8'. Can you explain this answer? theory, EduRev gives you an
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