Abstract
Abstract This study concerns the unsteady free-surface flow of a Newtonian fluid issuing vertically upwards from a tube in the base of a vertical cylindrical cavity. Experimental and numerical results are presented and discussed. The experiments involve a photographic procedure for measuring point velocities and surface profiles in an unsteady velocity field. Numerically, a marker-and-cell technique is used in conjunction with a Dufort-Frankel finite-difference approximation for solving the Navier-Stokes equation in two-dimensional cylindrical coordinates. It is found that the numerical solutions are generally stable for large values of the time step in spite of high fluid viscosities. Good agreement is obtained between the numerical and experimental results.
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