Which of the following is CORRECT statement for critical flow through ...
The characteristics of critical flow are:
(i) The specific energy and specific force are minimum for the given discharge.
(ii) The Froude number is equal to unity.
(iii) For a given specific energy the discharge is maximum at the critical flow.
(iv) The velocity head is equal to half the hydraulic depth in a channel of small slope.
(v) Flow at the critical state is unstable.
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Which of the following is CORRECT statement for critical flow through ...
Critical flow through an open channel refers to the flow condition where the flow velocity is equal to the wave velocity. In this condition, the specific energy is minimum for a given discharge. The correct statement for critical flow through an open channel is:
a) The specific energy is minimum for a given discharge
Explanation:
Critical flow is an important concept in open channel hydraulics. It occurs when the flow velocity is equal to the wave velocity, resulting in the maximum flow rate possible for a given channel geometry and slope.
Specific energy refers to the energy per unit weight of water flowing in the channel. It is calculated as the sum of the elevation head, pressure head, and velocity head.
In critical flow, the specific energy is minimum. This means that the sum of the elevation head, pressure head, and velocity head is at its lowest value. At this point, any increase or decrease in specific energy will result in a decrease in flow rate.
The discharge, on the other hand, is not maximum for a given specific energy. The discharge is a function of the channel geometry, slope, and specific energy. While an increase in specific energy will result in an increase in discharge, it is not the maximum possible discharge for a given specific energy.
Therefore, the correct statement is that the specific energy is minimum for a given discharge. This means that at critical flow, the flow rate is at its maximum for a given set of conditions, as any decrease in specific energy would result in a decrease in flow rate.
In conclusion, critical flow through an open channel occurs when the flow velocity is equal to the wave velocity. At this point, the specific energy is minimum for a given discharge.
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