Transient Analysis of Two–Dimensional Free Surface Flow Through Hydraulic Structure

Abstract

Computation of fluid flow in contraction and expansion channel located at upstream of channel is presented in this paper. A two–dimensional model is reported for computing incompressible flow of Newtonian fluid adopting Navier–Stokes equations. A semi– implicit Taylor–Gakerkin finite element algorithm. The flow is expected at downstream of expansion section is gradually/rapidly varied flow and generating vortices. This approach allows to explore very complex hydrodynamics phenomena like computation and analysis of unsteady/transient free–surface flows present hydraulic structures. The different Reynolds number (Re) values are used for computing of streamline flow pattern, velocity and pressure values. It is observed that, with increasing Reynolds number, the wake on the downstream of expansion of channel increase. The stability and capability of the numerical algorithm can be ascertained from the predicted results that the proposed model can be used efficiently for computing through solving of complex geometrical hydrodynamic problems.