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Which one of the following is correct?
For flow of an ideal fluid over a cylinder, from the front stagnationpoint,
For flow of an ideal fluid over a cylinder, from the front stagnationpoint,
- a)Pressure first decreases then increases
- b)Velocity first decreases then increases
- c)Pressure remains the same
- d)Velocity remains the same
Correct answer is option 'A'. Can you explain this answer?
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Which one of the following is correct?For flow of an ideal fluid over ...
Ans. (a) At the stagnation point pressure is maximum
∴ For flow past ideal fluid over a cylinder from front stagnation point pressure first decreases then increases.
∴ For flow past ideal fluid over a cylinder from front stagnation point pressure first decreases then increases.
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Which one of the following is correct?For flow of an ideal fluid over ...
Flow of an ideal fluid over a cylinder
When an ideal fluid flows over a cylinder, several phenomena occur, including changes in pressure and velocity. The flow pattern around a cylinder depends on the relative velocity of the fluid and the size of the cylinder. In this case, we are considering the flow from the front stagnation point of the cylinder.
1. Stagnation Point
The stagnation point is the point on the surface of an object where the fluid velocity is zero, and the pressure is maximum. In the case of a cylinder, the front stagnation point is located at the point where the fluid flow first comes into contact with the cylinder.
2. Pressure Variation
As the fluid flows over the cylinder from the front stagnation point, the pressure initially decreases and then increases. This can be explained by considering the flow behavior around the cylinder.
- Pressure Decrease: Initially, as the fluid approaches the front of the cylinder, it accelerates and the velocity increases. According to Bernoulli's principle, an increase in fluid velocity results in a decrease in pressure. Therefore, the pressure decreases as the fluid flows from the front stagnation point.
- Pressure Increase: As the fluid continues to flow past the front stagnation point and moves around the cylinder, it experiences a change in direction and decelerates. According to Bernoulli's principle, a decrease in fluid velocity results in an increase in pressure. Therefore, the pressure increases as the fluid flows around the cylinder.
3. Velocity Variation
In the case of flow over a cylinder, the velocity initially decreases and then increases as the fluid flows from the front stagnation point.
- Velocity Decrease: Initially, as the fluid approaches the front of the cylinder, it accelerates, resulting in an increase in velocity. However, as the fluid moves closer to the surface of the cylinder, it encounters resistance and decelerates. Therefore, the velocity decreases as the fluid flows from the front stagnation point.
- Velocity Increase: As the fluid continues to flow past the front stagnation point and moves around the cylinder, it experiences a change in direction and accelerates. Therefore, the velocity increases as the fluid flows around the cylinder.
Conclusion
In summary, for the flow of an ideal fluid over a cylinder from the front stagnation point, the pressure initially decreases and then increases, while the velocity initially decreases and then increases. Therefore, the correct answer is option 'A'.
When an ideal fluid flows over a cylinder, several phenomena occur, including changes in pressure and velocity. The flow pattern around a cylinder depends on the relative velocity of the fluid and the size of the cylinder. In this case, we are considering the flow from the front stagnation point of the cylinder.
1. Stagnation Point
The stagnation point is the point on the surface of an object where the fluid velocity is zero, and the pressure is maximum. In the case of a cylinder, the front stagnation point is located at the point where the fluid flow first comes into contact with the cylinder.
2. Pressure Variation
As the fluid flows over the cylinder from the front stagnation point, the pressure initially decreases and then increases. This can be explained by considering the flow behavior around the cylinder.
- Pressure Decrease: Initially, as the fluid approaches the front of the cylinder, it accelerates and the velocity increases. According to Bernoulli's principle, an increase in fluid velocity results in a decrease in pressure. Therefore, the pressure decreases as the fluid flows from the front stagnation point.
- Pressure Increase: As the fluid continues to flow past the front stagnation point and moves around the cylinder, it experiences a change in direction and decelerates. According to Bernoulli's principle, a decrease in fluid velocity results in an increase in pressure. Therefore, the pressure increases as the fluid flows around the cylinder.
3. Velocity Variation
In the case of flow over a cylinder, the velocity initially decreases and then increases as the fluid flows from the front stagnation point.
- Velocity Decrease: Initially, as the fluid approaches the front of the cylinder, it accelerates, resulting in an increase in velocity. However, as the fluid moves closer to the surface of the cylinder, it encounters resistance and decelerates. Therefore, the velocity decreases as the fluid flows from the front stagnation point.
- Velocity Increase: As the fluid continues to flow past the front stagnation point and moves around the cylinder, it experiences a change in direction and accelerates. Therefore, the velocity increases as the fluid flows around the cylinder.
Conclusion
In summary, for the flow of an ideal fluid over a cylinder from the front stagnation point, the pressure initially decreases and then increases, while the velocity initially decreases and then increases. Therefore, the correct answer is option 'A'.
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Which one of the following is correct?For flow of an ideal fluid over a cylinder, from the front stagnationpoint,a)Pressure first decreases then increasesb)Velocity first decreases then increasesc)Pressure remains the samed)Velocity remains the sameCorrect answer is option 'A'. Can you explain this answer?
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