The Gliding of a Plate on a Stream of Finite Depth

Abstract

We have examined the two-dimensional gliding of a semi-infinite plate on the surface of a stream of finite depth. We have calculated the lift L in terms of the ratio D/H, where H is the depth of the stream at infinity up-stream, and D is the height of the trailing edge of the plate above the surface of the stream.In particular we have found that the trailing edge cannot be at a height of more than 0·07H approximately, above the up-stream fluid surface.In conclusion, the writer would like to thank Prof. G. I. Taylor, F.R.S., for suggesting this problem and for his continued interest in it.