Using the principle of conservation of momentum, an analysis of the one-dimensional description of flows of Newtonian fluids in prismatic channels with side weirs was carried out. A new form of the equation of motion - with a corrected mass decrement term and added momentum-variation term - has been derived from the principle of conservation of momentum. Following examination of relevant coefficients, the dimensionless form of the modified applies, to the hydraulic design of a side weir with a high overfall crest and a throttling pipe, used in sewer systems.
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