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For a given discharge in a channel at critical depth
- a)The specific energy is minimum
- b)The specific force is maximum
- c)The total energy is minimum
- d)The total energy is maximum
Correct answer is option 'A'. Can you explain this answer?
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For a given discharge in a channel at critical deptha)The specific ene...
Specific Energy at Critical Depth
Specific energy is defined as the energy per unit weight of water flowing in a channel. At critical depth, the specific energy is minimum. This is because at critical depth, the flow velocity is maximum and the flow is most efficient.
Explanation
- At critical depth, the flow transitions from subcritical to supercritical, resulting in the minimum specific energy.
- The specific energy is a combination of kinetic and potential energy, and at critical depth, the kinetic energy dominates, leading to a minimum value.
Significance of Specific Energy
- Minimum specific energy at critical depth indicates the most efficient flow conditions in the channel.
- It represents the equilibrium state between the kinetic and potential energy of the flow.
Comparison with Specific Force and Total Energy
- Specific force is the force per unit weight of water acting in the flow direction. It is maximum at critical depth.
- Total energy is the sum of specific energy and elevation head. It is not necessarily minimum at critical depth.
Therefore, the correct answer is option 'a' - The specific energy is minimum for a given discharge in a channel at critical depth.
Specific energy is defined as the energy per unit weight of water flowing in a channel. At critical depth, the specific energy is minimum. This is because at critical depth, the flow velocity is maximum and the flow is most efficient.
Explanation
- At critical depth, the flow transitions from subcritical to supercritical, resulting in the minimum specific energy.
- The specific energy is a combination of kinetic and potential energy, and at critical depth, the kinetic energy dominates, leading to a minimum value.
Significance of Specific Energy
- Minimum specific energy at critical depth indicates the most efficient flow conditions in the channel.
- It represents the equilibrium state between the kinetic and potential energy of the flow.
Comparison with Specific Force and Total Energy
- Specific force is the force per unit weight of water acting in the flow direction. It is maximum at critical depth.
- Total energy is the sum of specific energy and elevation head. It is not necessarily minimum at critical depth.
Therefore, the correct answer is option 'a' - The specific energy is minimum for a given discharge in a channel at critical depth.
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For a given discharge in a channel at critical deptha)The specific energy is minimumb)The specific force is maximumc)The total energy is minimumd)The total energy is maximumCorrect answer is option 'A'. Can you explain this answer?
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