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For a steep slope profile S1 , the type of flow will be
- a)super critical
- b)critical
- c)sub-critical
- d)normal
Correct answer is option 'C'. Can you explain this answer?
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For a steep slope profile S1 , the type of flow will bea) super criti...
The S1-profile is a subcritical flow in a steep channel. The S2-profile is a supercritical flow. Examples are the profiles formed on a channel as the slope changes from steep to steeper and downstream of an enlargement of a step channel. The S3-profile is a supercritical flow.
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For a steep slope profile S1 , the type of flow will bea) super criti...
The correct answer is option 'C' - sub-critical.
Explanation:
- Slope profile S1 refers to a steep slope. In fluid mechanics, the flow of water over a slope is classified based on the Froude number (Fr), which is the ratio of the flow velocity to the velocity of surface waves. The Froude number helps to determine the type of flow.
- Sub-critical flow: This type of flow occurs when the Froude number is less than 1. In sub-critical flow, the flow velocity is slower than the velocity of surface waves. The water surface is smooth and the flow is stable. The water particles move in a downstream direction, and the pressure decreases gradually.
- Supercritical flow: This type of flow occurs when the Froude number is greater than 1. In supercritical flow, the flow velocity is faster than the velocity of surface waves. The water surface becomes rough and turbulent. The water particles move in an upstream direction, and the pressure decreases rapidly.
- Critical flow: This type of flow occurs when the Froude number is equal to 1. In critical flow, the flow velocity is equal to the velocity of surface waves. The water surface is neither smooth nor rough. The water particles move neither upstream nor downstream, and the pressure remains constant.
- In the case of a steep slope profile S1, the flow will be sub-critical. This is because the steep slope causes a decrease in the flow velocity, resulting in a Froude number less than 1. The flow will be smooth and stable, with the water particles moving in a downstream direction and the pressure decreasing gradually.
- It is important to determine the type of flow in order to design and analyze hydraulic structures such as channels, dams, and culverts. The type of flow affects the hydraulic characteristics of the structure, including the water depth, velocity, and pressure distribution.
In conclusion, for a steep slope profile S1, the type of flow will be sub-critical. Sub-critical flow occurs when the Froude number is less than 1, resulting in a smooth and stable flow with water particles moving downstream and the pressure decreasing gradually.
Explanation:
- Slope profile S1 refers to a steep slope. In fluid mechanics, the flow of water over a slope is classified based on the Froude number (Fr), which is the ratio of the flow velocity to the velocity of surface waves. The Froude number helps to determine the type of flow.
- Sub-critical flow: This type of flow occurs when the Froude number is less than 1. In sub-critical flow, the flow velocity is slower than the velocity of surface waves. The water surface is smooth and the flow is stable. The water particles move in a downstream direction, and the pressure decreases gradually.
- Supercritical flow: This type of flow occurs when the Froude number is greater than 1. In supercritical flow, the flow velocity is faster than the velocity of surface waves. The water surface becomes rough and turbulent. The water particles move in an upstream direction, and the pressure decreases rapidly.
- Critical flow: This type of flow occurs when the Froude number is equal to 1. In critical flow, the flow velocity is equal to the velocity of surface waves. The water surface is neither smooth nor rough. The water particles move neither upstream nor downstream, and the pressure remains constant.
- In the case of a steep slope profile S1, the flow will be sub-critical. This is because the steep slope causes a decrease in the flow velocity, resulting in a Froude number less than 1. The flow will be smooth and stable, with the water particles moving in a downstream direction and the pressure decreasing gradually.
- It is important to determine the type of flow in order to design and analyze hydraulic structures such as channels, dams, and culverts. The type of flow affects the hydraulic characteristics of the structure, including the water depth, velocity, and pressure distribution.
In conclusion, for a steep slope profile S1, the type of flow will be sub-critical. Sub-critical flow occurs when the Froude number is less than 1, resulting in a smooth and stable flow with water particles moving downstream and the pressure decreasing gradually.
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For a steep slope profile S1 , the type of flow will bea) super criticalb) criticalc) sub-criticald) normalCorrect answer is option 'C'. Can you explain this answer?
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