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The surface velocity at any vertical section of a stream is
- a)not of any use in stream flow measurement
- b)smaller than the mean velocity in that vertical
- c)larger than the mean velocity in that vertical section
- d)equal to the velocity in that vertical at 0.6 times the depth
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The surface velocity at any vertical section of a stream isa)not of an...
The surface velocity at any vertical section of a stream is larger than the mean velocity in that vertical section. This is because the velocity of a fluid in a stream (or any other flow) is generally greatest at the surface and decreases as you move deeper into the fluid. This is due to the friction between the fluid and the walls of the channel or container, which slows down the fluid as it flows.
To measure the flow rate of a stream, it is common to use a device called a current meter, which is placed in the stream and measures the velocity of the water at different depths. The mean velocity of the stream is then calculated by averaging the velocities measured at different depths. The surface velocity is generally greater than the mean velocity because it is not slowed down as much by friction with the channel walls.
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The surface velocity at any vertical section of a stream isa)not of an...
Explanation:
Surface velocity is the velocity of the water at the topmost layer of the stream. It is measured at any vertical section of the stream. It is an important parameter in stream flow measurement as it helps in determining the discharge of the stream.
Mean velocity is the average velocity of water at a particular vertical section of the stream. It is measured by dividing the discharge of the stream by the cross-sectional area of the stream.
The relation between surface velocity and mean velocity can be given as:
Surface velocity = Mean velocity + (1/2)*(Velocity gradient)*(Depth)
Where, Velocity gradient is the rate of change of velocity with respect to depth.
From the above equation, we can conclude that surface velocity is always greater than the mean velocity as the velocity gradient is always positive.
Therefore, the correct option is (C) larger than the mean velocity in that vertical section.
Surface velocity is the velocity of the water at the topmost layer of the stream. It is measured at any vertical section of the stream. It is an important parameter in stream flow measurement as it helps in determining the discharge of the stream.
Mean velocity is the average velocity of water at a particular vertical section of the stream. It is measured by dividing the discharge of the stream by the cross-sectional area of the stream.
The relation between surface velocity and mean velocity can be given as:
Surface velocity = Mean velocity + (1/2)*(Velocity gradient)*(Depth)
Where, Velocity gradient is the rate of change of velocity with respect to depth.
From the above equation, we can conclude that surface velocity is always greater than the mean velocity as the velocity gradient is always positive.
Therefore, the correct option is (C) larger than the mean velocity in that vertical section.
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The surface velocity at any vertical section of a stream isa)not of any use in stream flow measurementb)smaller than the mean velocity in that verticalc)larger than the mean velocity in that vertical sectiond)equal to the velocity in that vertical at 0.6 times the depthCorrect answer is option 'C'. Can you explain this answer?
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