The principal problem considered in this paper is that of the flow along a surface through which fluid is being continuously withdrawn at a constant velocity, the velocity of the stream outside the boundary layer having a constant and negative gradient. When no suction is applied Howarth1 has solved the flow, and the point of separation is known. With continuous suction, the ordinary methods of using the momentum equation, for example Pohlhausen's method2, break down, and a new method is used in this paper to find the point of separation when suction of constant velocity is apphed. Only partial success may be recorded in this problem, but this account of progress so far is now given in the hope that the problem may attract other workers.nThe new method of boundary-layer calculation used is not fully described in this paper, and will be explained with examples of its use, in a later paper.3 It has already been-used in R. & M. 24814, where a particular problem was treated with great ease.
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