Paper

Upstream Flow near Channel Exit for Free Surface Jet


Authors:
Md. Yahia Hussain; Roger E. Khayat
Abstract
The upstream flow near the exit of a channel for steady-state moderately inertial jet emerging from the channel is examined theoretically in this study. Poiseuille flow conditions are assumed to prevail far upstream from the exit. The problem is reduced to an eigenvalue problem governing the departure from Poiseuille flow. This is shown to be on the order of the inverse Reynolds number. The study complements Tillett’s asymptotic analysis on free surface jet flow, focusing on the flow upstream from the channel exit particularly the region near the wall. Numerical calculations based on FLUENT are used for comparison, which illustrate the difficulty of conventional numerical methodologies to accurately capture the flow near the singularity, and the need for the current local asymptotic analysis.
Keywords
Free-surface Jet; Moderate Reynolds Number; Exit Singularity; Upstream Flow; Asymptotic Matching
StartPage
24
EndPage
32
Doi
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