Gravity deflected jets in two-dimensional flow (1961)
Type of ContentTheses / Dissertations
Thesis DisciplineCivil Engineering
Degree NameMaster of Engineering
PublisherUniversity of Canterbury
AuthorsFraser, Wynstone Barrieshow all
Several attempts have been made to solve the hydrodynamical problem of calculating the exact shape of free surfaces deflected by gravity. As yet, no simple solution to the problem has been evolved. The most outstanding particular case of this problem, and one of considerable practical importance, is that of flow over a sharp-crested weir. This thesis investigates the possibility of applying a theorem developed by L.C. Woods to the weir problem, and in particular to its limiting cases of the free overfall and the weir of infinite depth.
After a brief account of previous research in Chapter I and a summary of Woods’ theorem in Chapter II, the remainder of the thesis is devoted to the calculation of the free overfall profile. The profile obtained was found to differ somewhat from those obtained by other methods. Since all these methods are basically iterative processes, it is concluded that the convergence of such processes requires some investigation. As for Woods’ theorem used in this way, the most that can be said at this stage is that it looks very promising.