Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > Which of the following is correct?a)A streaml...
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Which of the following is correct?
- a)A streamline can intersect itself and two streamlines can cross
- b)A streamline cannot intersect itself but two streamlines can cross
- c)A streamline can intersect itself but two streamlines cannot cross
- d)A streamline cannot intersect itself and two streamlines cannot cross
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Which of the following is correct?a)A streamline can intersect itself ...
Explanation: A streamline is defined as an imaginary line within the flow such that the tangent at any point on it indicates the velocity at that point. At a point, there can only be one direction of velocity. Hence, neither can a streamline intersect itself nor can two streamlines cross each other.
Most Upvoted Answer
Which of the following is correct?a)A streamline can intersect itself ...
A streamline is an imaginary line that represents the path followed by a fluid particle in a flow field. It is a useful concept in fluid dynamics to understand the behavior of fluids in motion. Based on the given options, the correct statement is:
d) A streamline cannot intersect itself and two streamlines cannot cross.
Explanation:
1. Definition of a streamline:
- A streamline is defined as a line that is tangent to the velocity vector at every point along its length.
- It represents the instantaneous direction of fluid particles at different points in a flow field.
2. Streamline cannot intersect itself:
- The concept of a streamline assumes that a fluid particle follows a unique path in the flow field.
- If a streamline intersects itself, it would imply that a fluid particle is following two different paths simultaneously, which contradicts the definition of a streamline.
- Therefore, a streamline cannot intersect itself.
3. Two streamlines cannot cross:
- If two streamlines were to cross each other, it would mean that at the point of intersection, a fluid particle has two different velocities, which is not physically possible.
- Streamlines represent the path followed by fluid particles with a specific velocity vector at each point, and these paths cannot cross each other.
- Therefore, two streamlines cannot cross each other.
4. Implications:
- The fact that a streamline cannot intersect itself and two streamlines cannot cross each other is essential in fluid dynamics analysis.
- It helps in understanding the flow pattern, identifying regions of circulation, and predicting the behavior of fluid particles in a given flow field.
In conclusion, option 'D' is correct. A streamline cannot intersect itself, and two streamlines cannot cross each other. This concept is vital in fluid dynamics analysis and helps in understanding the behavior of fluids in motion.
d) A streamline cannot intersect itself and two streamlines cannot cross.
Explanation:
1. Definition of a streamline:
- A streamline is defined as a line that is tangent to the velocity vector at every point along its length.
- It represents the instantaneous direction of fluid particles at different points in a flow field.
2. Streamline cannot intersect itself:
- The concept of a streamline assumes that a fluid particle follows a unique path in the flow field.
- If a streamline intersects itself, it would imply that a fluid particle is following two different paths simultaneously, which contradicts the definition of a streamline.
- Therefore, a streamline cannot intersect itself.
3. Two streamlines cannot cross:
- If two streamlines were to cross each other, it would mean that at the point of intersection, a fluid particle has two different velocities, which is not physically possible.
- Streamlines represent the path followed by fluid particles with a specific velocity vector at each point, and these paths cannot cross each other.
- Therefore, two streamlines cannot cross each other.
4. Implications:
- The fact that a streamline cannot intersect itself and two streamlines cannot cross each other is essential in fluid dynamics analysis.
- It helps in understanding the flow pattern, identifying regions of circulation, and predicting the behavior of fluid particles in a given flow field.
In conclusion, option 'D' is correct. A streamline cannot intersect itself, and two streamlines cannot cross each other. This concept is vital in fluid dynamics analysis and helps in understanding the behavior of fluids in motion.
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Which of the following is correct?a)A streamline can intersect itself and two streamlines can crossb)A streamline cannot intersect itself but two streamlines can crossc)A streamline can intersect itself but two streamlines cannot crossd)A streamline cannot intersect itself and two streamlines cannot crossCorrect answer is option 'D'. Can you explain this answer?
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