Experimental Study of the Hydraulic S-Jump with Bed Roughness

Abstract

Abstract A new method capable of defining the hydraulic jump peculiarities at 1, 1.33, 1.6, and 2 expanding ratios at 0, 1.33, and 2 cm bed roughness and Froude numbers within the 4.9 to 9.5 range was assessed. The impacts of expansion ratio and bed roughness elements on the basic hydraulic jump features, including the sequent depth, length, and energy loss, were investigated for a Froude number range. The results indicated that the abrupt expansion and roughness bed decreases the sequent depth and jump length by about 49.5% and 22.34%, respectively. In addition, the energy loss increased by 31.1% in comparison with the classical jump. Empirical relationships were obtained for the sequent depth and relative energy loss of hydraulic jump in an abrupt expanding channel with bed roughness. Using dimensional analysis, equations were achieved for the sequent depth ratio, the relative energy loss, and the relative jump length with acceptable accuracy.