NUMERICAL SOLUTIONS OF THE NAVIER-STOKES EQUATIONS FOR THE FLOW IN A CHANNEL WITH A STEP.
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WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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The steady flow of a viscous fluid in a channel with a forward facing or a backward facing step is studied numerically. It is assumed that the channel is bounded by rigid walls, and the flow in the channel far from the step is the Poiseuille flow. It is shown that the length of a standing vortex behind a backward facing step increases roughly proportionally to the Reynolds number R or 64. The pressure loss due to a forward facing step increases with the Reynolds number, on the other hand, due to a backward facing step, it decreases with the Reynolds number. Author