Characterisation of B type hydraulic jump by experimental simulation and numerical modeling using MacCormack technique

A hydraulic jump occurs when the supercritical flow transforms into subcritical nature along with the dissipation of energy. It occurs on a variety of horizontal and inclined channels. In this study, two types of jumps were classified, namely the B types that occur partially in the sloping and partially in the horizontal level of plane sections and the plane types that are typical hydraulic jumps occurring on beds with continuous slopes or horizontal beds. Froude numbers at inlet ranged from 2 to 6 for the study and tests were performed at four different angles for B-type jumps. The profiles of the jumps and streamwise flow velocities at different sections of the jumps were determined. From these data, the nature of the rate of decay of stream wise velocity across the jumps was established for both B and plane jumps. To validate the experimental results, numerical simulation was done for both B and plane jumps using the de-Saint Venant hyperbolic equations as governing equations and an explicit scheme MacCormack technique for the second-order accuracy of time and space. A source code was written in Fortran language using the G-Fortran compiler to numerically determine post-jump profiles. Using the appropriate initial boundary conditions, accurate simulated profiles of the jumps were obtained by it. The numerically simulated jump profiles were compared with experimentally obtained jump profiles in current and previous research studies and were found to be consistent. Based on the accuracy achieved, a combined empirical relation was proposed to determine jump profiles that operate both plane and B jumps.