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Mansoor, Wafaa F.; Hocking, Graeme C.; Farrow, Duncan E.

Flow induced by a line sink near a vertical wall in a fluid with a free surface. II: Finite depth. (English) Zbl 1494.76009

J. Eng. Math. 134, Paper No. 1, 17 p. (2022).
Summary: Flow caused by a line sink near a vertical wall in an otherwise stagnant fluid with a free surface is studied. A linear solution for small flow rates is obtained and a numerical method based on fundamental singularities techniques is applied to the full nonlinear problem. The sink is located at an arbitrary location away from all boundaries and the fluid is of finite depth. Steady solutions are presented for various flow rates and sink location. It is shown that the numerical results and linear solutions are in good agreement for small flow rates. The results suggest that steady nonlinear solutions are limited to flow rates below some critical value. Some interesting surface shapes are obtained depending on the location of the sink.
For Part I, see [the authors, J. Eng. Math. 133, Paper No. 4, 10 p. (2022; Zbl 1496.76025)].

Cited in 2 Documents

MSC:

76B07 Free-surface potential flows for incompressible inviscid fluids
76M99 Basic methods in fluid mechanics

Keywords:

selective withdrawal; single-layer steady linearized flow; fundamental singularities method; series solution

Citations:

Zbl 1496.76025
Cite Review PDF
Full Text: DOI
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References:

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