Yih (1958), Deller (1959) , Kao (1964-65) and Dube (2002) considered the problem of two dimensional steady flow in a semi-infinite channel formed by 0 ya , 0 x −   (the x-axis being horizontal and y-axis being vertical) of steady stratified incompressible inviscid fluid towards line sink across the bottom at 0, 0xy==. Yin tackled the problem by assuming that the sink does not affect the density and velocity for upstream. He reduced the real flow to the pseudo-flow and solved the non-dimensionalzed equation. for the pseudo-stream function. A solution was obtained for  valid for the Froude number 1 F   . If 1 F   , Yih showed that upstream waves will occur, which may violate the upstream conditions. He, however, argued that when 1 F k  , an exact solution can still be obtained if waves are allowed upstream and if d d   is still constant. Very large value of F will imply small stratification and so at F = , the streamline pattern has practically no difference from that of potential flow of homogeneous fluid. As F decreases, an eddy develops near the upper corner which gradually elongates as 1 F  → . Yih also predicted that for 1 F   , flow separation may occur where an almost stagnant zone of fluid lies in the upper region while the fluid in the lower region flows towards the sink.