Derivation and Verification of New Common Formulas for the Calculation of Instantaneous Dam-break Maximum Discharge

Abstract

In order to calculate the instantaneous dam-break maximum discharge Qm, the relationship of Qm with Qweir was built by the equality theory of the weir flow to wave flow. Theory deduction obtained the same new common formula that may compute whole dam-break, horizontal partial dam-break, vertical partial dam-break and both horizontal and vertical partial dam-break. This paper gave a basic common formula and a maximum common formula, a minimum common formula and a general common formula, and so on. The new common formulas indicated that the instantaneous dam-break flow also associated with the weir type. It may unify the instantaneous dam-break flow and overtopping or gradually dam-break flood flow with the weir flow calculation formula. It also unified their corresponding coefficient. Their corresponding coefficient values were based on the experimental confirmation and classics Ok. So the formulas coefficient values have a reliable guarantee, both the calculation formula and its coefficient values of the instantaneous dam-break maximum discharge are unified with weir flow. The general common formula of rationality is analyzed. The general common formula is also verified by the dam-break events at home and abroad that is best.