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In a free vortex, velocity
- a)decreases with radius
- b)increases with radius
- c)is constant
- d)none of the above
Correct answer is option 'A'. Can you explain this answer?
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In a free vortex, velocitya)decreases with radiusb)increases with rad...
Free Vortex Flow: When no external torque is required to rotate the fluid mass, that type of flow is called free vortex flow.
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The velocity of free vortex flow ∝ 1/r
∴ In a free vortex, velocity decreases with radius.
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In a free vortex, velocitya)decreases with radiusb)increases with rad...
Understanding Free Vortex
In fluid dynamics, a free vortex is a flow pattern where the fluid moves in a circular path around a central axis. The characteristics of a free vortex are crucial to understanding its behavior.
Velocity Behavior in a Free Vortex
In a free vortex, the velocity of the fluid particles exhibits a specific trend:
Explanation of the Velocity Trend
The decrease in velocity with radius can be explained through the following points:
Conclusion
Thus, in a free vortex, it is indeed correct that the velocity decreases with radius, making option 'A' the correct answer. Understanding this behavior is essential for various applications in fluid mechanics and related fields.
In fluid dynamics, a free vortex is a flow pattern where the fluid moves in a circular path around a central axis. The characteristics of a free vortex are crucial to understanding its behavior.
Velocity Behavior in a Free Vortex
In a free vortex, the velocity of the fluid particles exhibits a specific trend:
- Decreases with Radius: As you move further from the center of the vortex, the velocity decreases. This is a fundamental property of free vortices.
Explanation of the Velocity Trend
The decrease in velocity with radius can be explained through the following points:
- Conservation of Angular Momentum: In a free vortex, angular momentum is conserved. As the radius increases, the same amount of angular momentum is distributed over a larger radius, leading to a decrease in linear velocity.
- Velocity Formula: The relationship can be mathematically expressed as \( V = \frac{C}{r} \), where \( V \) is the velocity, \( C \) is a constant, and \( r \) is the radius from the center. This shows that as \( r \) increases, \( V \) decreases.
- Centrifugal Effects: The outward centrifugal force experienced by fluid particles also contributes to the decrease in velocity as they move outward in the vortex.
Conclusion
Thus, in a free vortex, it is indeed correct that the velocity decreases with radius, making option 'A' the correct answer. Understanding this behavior is essential for various applications in fluid mechanics and related fields.
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In a free vortex, velocitya)decreases with radiusb)increases with radiusc)is constantd)none of the aboveCorrect answer is option 'A'. Can you explain this answer?
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In a free vortex, velocitya)decreases with radiusb)increases with radiusc)is constantd)none of the aboveCorrect answer is option 'A'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about In a free vortex, velocitya)decreases with radiusb)increases with radiusc)is constantd)none of the aboveCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a free vortex, velocitya)decreases with radiusb)increases with radiusc)is constantd)none of the aboveCorrect answer is option 'A'. Can you explain this answer?.
In a free vortex, velocitya)decreases with radiusb)increases with radiusc)is constantd)none of the aboveCorrect answer is option 'A'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about In a free vortex, velocitya)decreases with radiusb)increases with radiusc)is constantd)none of the aboveCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a free vortex, velocitya)decreases with radiusb)increases with radiusc)is constantd)none of the aboveCorrect answer is option 'A'. Can you explain this answer?.
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