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In open channel flows, the characteristic length commonly used in defining the Reynolds number is the
- a)depth of flow
- b)wetted perimeter
- c)hydraulic radius
- d)area/top width
Correct answer is option 'C'. Can you explain this answer?
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In open channel flows, the characteristic length commonly used in defi...
Hydraulic radius is the characteristic length commonly used in defining the Reynolds number.
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In open channel flows, the characteristic length commonly used in defi...
Open Channel Flows and Reynolds Number
In fluid mechanics, open channel flows refer to flows of liquids in channels or pipes where the liquid surface is exposed to the atmosphere. These flows can occur in natural channels like rivers and streams, as well as man-made channels like canals and channels used for irrigation.
Reynolds Number
The Reynolds number is a dimensionless quantity used to predict the flow behavior of fluids. It is defined as the ratio of inertial forces to viscous forces in the fluid. The Reynolds number is an important parameter in determining whether a flow is laminar or turbulent.
Characteristic Length
In open channel flows, the characteristic length commonly used in defining the Reynolds number is the hydraulic radius.
Hydraulic Radius
The hydraulic radius is a measure of the efficiency of a channel in carrying flow. It is defined as the ratio of the cross-sectional area of flow to the wetted perimeter.
The wetted perimeter is the length of the channel boundary that is in contact with the water. It is the sum of the lengths of the channel bottom and the two sides.
The hydraulic radius is given by the formula:
Hydraulic Radius = Cross-sectional Area / Wetted Perimeter
The hydraulic radius is a measure of the average distance from the channel boundary to the center of flow. It takes into account both the depth of flow and the shape of the channel cross-section.
Importance of Hydraulic Radius in Reynolds Number
The hydraulic radius is used as the characteristic length in defining the Reynolds number for open channel flows because it represents the average distance between the fluid and the channel boundary. This is important because the flow behavior and resistance in open channels depend on the interaction between the fluid and the channel boundary.
By using the hydraulic radius in the Reynolds number formula, engineers and scientists can determine whether the flow in an open channel is laminar or turbulent. This information is crucial in designing and analyzing open channel systems, such as irrigation canals, drainage channels, and river systems.
Therefore, in open channel flows, the hydraulic radius is the characteristic length commonly used in defining the Reynolds number.
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In open channel flows, the characteristic length commonly used in defining the Reynolds number is thea)depth of flowb)wetted perimeterc)hydraulic radiusd)area/top widthCorrect answer is option 'C'. Can you explain this answer?
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