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A JET EMERGING FROM A SLIT AT THE CORNER OF QUARTER PLANE
L.H. WIRYANTO 한국산업응용수학회 2009 Journal of the Korean Society for Industrial and A Vol.13 No.4
A numerical solution is provided for a jet produced by a flow emerging from a slit at the bottom corner of a quarter plane. The flow is characterized by the Froude number F, based on the net volume flux and the width of the slit. We perform the free-surface flow for various values of F and another parameter corresponding to the position of the vertical wall. A jet with back-flow near the edge of the vertical wall is obtained, and the limiting case is a jet with a stagnation point.
The linear model for wave generation of a bump
AZIS S. SANI,L.H. WIRYANTO 장전수학회 2019 Proceedings of the Jangjeon mathematical society Vol.22 No.1
A channel with a bump over at bottom will aect the pro- le of the water surface that ows over it. This phenomenon can be modeled by the nondimensional Boussinesq equation. The governing equation used is expressed in variable of speed, elevation, the height of bump and Froude number. Here, we will investigate the dependance of wave formed by a bump on Froude number and dimension of the bump. In this paper, we focus only on the case of supercritical ow or Froude number greater than 1. We will derive the analytical solution for the free surface prole over a bump. From the analytical solution, we conclude that a bump generate waves with 1 peak and 2 dales. The formed peak does not propagate anywhere, but the two dales propagate to the direction of the ow with dierent speed and amplitude. For- ward Time Backward Space (FTBS) method is implemented to solve the equation numerically. The obtained numerical results conrm the analytical solution well.