Submergence coefficient of full-width sharp-edged broad-crested rectangular weirs

Abstract

Full-width sharp-edged broad-crested rectangular weirs in the range 0.1 < h/L <= 0.3 situated in rectangular channels are frequently used in submerged flow conditions. To determine the discharge for the submerged flow, submergence coefficient and modular limit shall be known. This article deals with their determination upon a theoretic derivation and experimental research. The equation for modular limit has been determined from energy balance with simplifications. To validate it, extensive experimental research was carried out. However, the derived equation is too complicated for practical use which is why it was approximated by a simple equation applicable for the limited range. The equation for submergence coefficient was derived by modifying Villemonte's application of the principle of super-position and its coefficients were determined using the data from experimental research of many authors. The new system of equations computes the discharge more accurately than other authors' equations, with the error of approximately +/- 10% in full range of the measured data.Full-width sharp-edged broad-crested rectangular weirs in the range 0.1 < h/L <= 0.3 situated in rectangular channels are frequently used in submerged flow conditions. To determine the discharge for the submerged flow, submergence coefficient and modular limit shall be known. This article deals with their determination upon a theoretic derivation and experimental research. The equation for modular limit has been determined from energy balance with simplifications. To validate it, extensive experimental research was carried out. However, the derived equation is too complicated for practical use which is why it was approximated by a simple equation applicable for the limited range. The equation for submergence coefficient was derived by modifying Villemonte's application of the principle of super-position and its coefficients were determined using the data from experimental research of many authors. The new system of equations computes the discharge more accurately than other authors' equations, with the error of approximately +/- 10% in full range of the measured data.