Abstract
A perturbational study is made of the bow flow field with spray phenomena around a planing plate with a small dead rise angle and a small trim angle in order to obtain the basis on the configuration of the wetted surface area. A hypothesis is proposed whereby the plate planes on a water surface deformed as a parabolic cylinder with transverse curvature near the bow, the deformation seems to be caused by the displacement effect. The hypothesis allows the assumption that a similarity flow changing the scale of transverse section as a square root of longitudinal length. The flow field is divided into three regions for the analysis. By analysing the bow near field, the spray root line is obtained as forming a parabola on the plate, so that good coincidence with an experimental result of pressure contour is shown with the help of the same flow near the spray root line as Wagner's local flow. The spray flow developing on the plate outside the spray root line is analyzed. The flow rate and thickness of the spray and the spray drag show good coincidence with an experimental result. The spray edge line is shown by assuming a lower bound of spray thickness.
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