Numerical study on fluid flow and heat transfer in the thin liquid film involving a hydraulic jump

The fluid flow and heat transfer in a thin liquid film are investigated numerically. The flow is assumed to be two-dimensional laminar, and surface tension effects at the exit are considered. The most important characteristic of this flow is the existence of a hydraulic jump through which the flow undergoes a very sharp and discontinuous change. In the present study, a simplified model of a free liquid jet impinging on a plane is considered. An arbitrary Lagrangian-Eulerian (ALE) method is used to describe the moving free boundary, and the fractional step method (FSM) based on the streamline upwind Petrov-Galerkin (SUPG) finite element method is used for the time-marching iterative solution. The numerical results obtained by solving the unsteady full Navier-Stokes equations are presented for plane and radial flows with constant wall temperature.