Abstract

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. © 1999 Scripta Technica, Heat Trans Asian Res, 28(1): 18–33, 1999

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