Dimensionless Effective Flow Work for Estimation of Pier Scour Caused by Flood Waves

BRISENT: An Entropy-Based Model for Bridge-Pier Scour Estimation under Complex Hydraulic Scenarios

“…The dimensionless, effective flow work by the flow on the streambed around a pier, W * , was deduced from dimensional analysis and physical considerations by Pizarro et al [21]:…”

“…Consequently, POME applied to W * results in a variational/thermodynamic approach for treating the local scour process. Pizarro et al [21] evidenced that under constant sediment properties, geometrical scale, and clear-water conditions the mathematical relation between the relative scour depth Z * and W * is unique. Z * = z/z R is defined as a normalized parameter, where z is the dimensional scour depth and z R the reference length established previously.…”

“…Experimental data were compiled from available studies in Chabert and Engeldinger [58], Zanke [10], Franzetti et al [59], Oliveto and Hager [14,19], Sheppard et al [60], Grimaldi [61], Alabi [62], Simarro et al [63], Meyering [64], Lança et al [65], Link et al [22] and Pizarro et al [21]. Altogether, results corresponding to 137 experiments were analyzed.…”

“…For example, "2017PIZARRO05U" is the unsteady experiment number 5 carried out by Pizarro et al [21] and "2004SHEPPARD04S" is the steady experiment number 4 performed by Sheppard et al [60].…”

“…−0.13 (21) in which f 1 represents the water depth effect on bridge pier scour, f 2 the velocity influence, and f 3 denotes scale effects between pier-diameter and sediment-size. Accordingly, f 1 and f 2 contain the hydraulic impacts on local scour, while f 3 denotes scale ratio effects.…”