caa a22 4500 475839706 CHVBK 20180406123858.0 cr unu---uuuuu 170329e20000701xx s 000 0 eng 10.1023/A:1004612117673 doi (NATIONALLICENCE)springer-10.1023/A:1004612117673 Withdrawal from a fluid of finite depth through a line sink, including surface-tension effects [Elektronische Daten] [G.C. Hocking, L.K. Forbes] The steady withdrawal of an inviscid fluid of finite depth into a line sink is considered for the case in which surface tension is acting on the free surface. The problem is solved numerically by use of a boundary-integral-equation method. It is shown that the flow depends on the Froude number, F B=m(gH 3 B)−1/2, and the nondimensional sink depth λ=H S/H B, where m is the sink strength, g the acceleration of gravity, H B is the total depth upstream, H S is the height of the sink, and on the surface tension, T. Solutions are obtained in which the free surface has a stagnation point above the sink, and it is found that these exist for almost all Froude numbers less than unity. A train of steady waves is found on the free surface for very small values of the surface tension, while for larger values of surface tension the waves disappear, leaving a waveless free surface. It the sink is a long way off the bottom, the solutions break down at a Froude number which appears to be bounded by a region containing solutions with a cusp in the surface. For certain values of the parameters, two solutions can be obtained. Kluwer Academic Publishers, 2000 free-surface flow nationallicence selective withdrawal nationallicence water waves nationallicence line sink nationallicence surface tension nationallicence Hocking G.C. Mathematics and Statistics, DSE, Murdoch University, 6150, Murdoch, Australia aut Forbes L.K. Department of Mathematics, University of Queensland, 4072, St.Lucia, Australia aut Journal of Engineering Mathematics Kluwer Academic Publishers 38/1(2000-07-01), 91-100 0022-0833 38:1<91 2000 38 10665 https://doi.org/10.1023/A:1004612117673 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1004612117673 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hocking G.C. Mathematics and Statistics, DSE, Murdoch University, 6150, Murdoch, Australia aut NATIONALLICENCE 700 1- Forbes L.K. Department of Mathematics, University of Queensland, 4072, St.Lucia, Australia aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Kluwer Academic Publishers 38/1(2000-07-01), 91-100 0022-0833 38:1<91 2000 38 10665 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer