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Thank You so much.BvU said:So what is the difference between your handling of Bernoulli and, e.g., this one ?
The derivation of discharge over a rectangular weir is important for determining the flow rate of water in open channels. This information is useful for various engineering applications, such as designing irrigation systems or predicting flood levels.
The discharge over a rectangular weir can be calculated using the Francis formula, which takes into account the dimensions of the weir, the head of water above the weir, and the gravitational constant. Alternatively, it can also be calculated using the more simplified weir equation, which only requires the head of water and the width of the weir.
The derivation of discharge over a rectangular weir assumes that the flow is steady, uniform, and fully developed. It also assumes that the velocity of water approaching the weir is negligible and that the water surface is parallel to the crest of the weir.
The shape of the weir plays a significant role in determining the discharge. A rectangular weir has a higher discharge coefficient compared to a V-notch weir, meaning that it can handle a larger flow rate for the same head of water. This is because the rectangular shape allows for a wider opening and a smoother transition of water over the weir crest.
The derived discharge over a rectangular weir is based on certain assumptions and may not accurately reflect real-world conditions. Factors such as changes in water level, debris accumulation, and roughness of the weir surface can affect the actual discharge. Additionally, the derived discharge may not be applicable for weirs with non-standard shapes or dimensions.