Modification of Slot Model by Coinciding with the Lateral Model

S.K. Pandit, Y. Oka, N. Shigeta, and M. Watanabe (Japan)

Keywords

Storm water flow, Transient flow, Preissmann Slot Model, Lateral Model, and Modified Slot Model.

Abstract

Preissmann Slot concept is one of the most extensively accepted numerical approaches in unsteady free surface pressurized flow. However Courant’s stability condition has imposed this method with limitation on the size of the time step. The slot concept produces large wave celerity and a corresponding strict time step limitation with too small slot width, while inaccuracies may result with too large slot width. The equations for a surcharged flow which form the lateral model are derived incorporating the relaxation effect and compared with corresponding equations of slot model. The frictional loss is evaluated in slot model by introducing the coefficient, Γ which modifies the slot model. The pair of differential equations of Slot Model and Modified Slot Model are solved and presented in forms for direct substitution into FORTRAN programming for numerical analysis. The numerical result justifies Modified Slot Model to be more efficient for the modeling of transient flow in sewer network.

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