Thank you very much for your question.
The values of these coefficients can vary depending on various factors, including gate design, gate shape, water properties, and specific discharge conditions. There are no fixed or single-range values for these coefficients, and they can vary significantly in different situations.
The sub-critical discharge coefficient and super-critical discharge coefficient typically fall within the range of 0.6 to 1.2, but specific values may be higher or lower depending on flow conditions.
The free flow coefficient usually has a value close to 1.0.
The submerged discharge coefficient can also vary widely depending on gate design and water discharge conditions, typically ranging from 0.5 to 1.0.
To determine the precise values of these coefficients for a specific application, you should refer to design documents or seek specific guidance from the gate manufacturer. If you have data to validate your model, you could use a trial-and-error method to find the most suitable values for your case.
Thanks for your reply, it helps me a lot