Draining of a fluid of finite depth into a vertical slot

被引:6
作者
Hocking, GC
Vanden-Broeck, JM [1 ]
机构
[1] Univ Wisconsin, Dept Math, Madison, WI 53705 USA
[2] Murdoch Univ, PSET, Murdoch, WA 6150, Australia
关键词
free-surface flow; selective withdrawal; waterfalls; jets;
D O I
10.1016/S0307-904X(97)00085-1
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The draining of a fluid of finite depth into a vertical slot is considered. It is shown that the flow depends on the flow rate and depth, and on the size of the gap. At a particular flow rate there is a gap size at which the flow separates in the middle into two "waterfalls," but for. smaller gap sizes there are shown to be two possible flow configurations, one in which the two converging streams form a single downward flow into the slot, and another in which the two streams join. and then divide into two separate falling streams further down into the slot. (C) 1997 by Elsevier Science Inc.
引用
收藏
页码:643 / 649
页数:7
相关论文
共 23 条
[1]   2 INFINITE-FROUDE-NUMBER CUSPED FREE-SURFACE FLOWS DUE TO A SUBMERGED LINE SOURCE OR SINK [J].
COLLINGS, IL .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1986, 28 :260-270
[2]   2-DIMENSIONAL VERTICAL JET UNDER GRAVITY [J].
CONWAY, WE .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1967, 19 (02) :282-&
[3]  
Craya A., 1949, HOUILLE BLANCHE, V4, P44, DOI DOI 10.1051/LHB/1949017
[4]   FLOW CAUSED BY A POINT SINK IN A FLUID HAVING A FREE-SURFACE [J].
FORBES, LK ;
HOCKING, GC .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1990, 32 :231-249
[5]  
FORBES LK, 1993, J AUST MATH SOC SE B, V34, P337
[6]   THICK WATERFALLS FROM HORIZONTAL SLOTS [J].
GOH, KHM ;
TUCK, EO .
JOURNAL OF ENGINEERING MATHEMATICS, 1985, 19 (04) :341-349
[7]   CRITICAL WITHDRAWAL FROM A 2-LAYER FLUID THROUGH A LINE SINK [J].
HOCKING, GC .
JOURNAL OF ENGINEERING MATHEMATICS, 1991, 25 (01) :1-11
[8]   INFINITE FROUDE-NUMBER SOLUTIONS TO THE PROBLEM OF A SUBMERGED SOURCE OR SINK [J].
HOCKING, GC .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1988, 29 :401-409
[9]   FLOW FROM A VERTICAL SLOT INTO A LAYER OF FINITE DEPTH [J].
HOCKING, GC .
APPLIED MATHEMATICAL MODELLING, 1992, 16 (06) :300-306
[10]   SUBCRITICAL FREE-SURFACE FLOW CAUSED BY A LINE SOURCE IN A FLUID OF FINITE DEPTH [J].
HOCKING, GC ;
FORBES, LK .
JOURNAL OF ENGINEERING MATHEMATICS, 1992, 26 (04) :455-466