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Water-Hammer Pressures in Compound and Branched Pipes
In two previous papers, the writer has derived the principal equations for water hammer and has given the theory in some detail, so that only the barest outline of the general theory is given herein. Beginning with the two general equations derived by L. Allievi, a graphical construction has been explained in some detail and illustrated in two simple problems of uniform pipes.
For the application of the method to simple pipes, the reader should consult the earlier papers, as this paper deals with other problems, and particularly those on compound and branched pipes. Illustrations are given of the application to parallel pipes, pipes with dead ends, surge tanks in systems, pipes leading from reservoirs and having two branches, each discharging water, the effect of gate closure on turbines and draft-tubes, and the case of a pumping system in which the pressure falls so low as to cause the column to separate. In all these cases the variation of pressure and velocity with time is found for various points in the system.
All these problems, and many more, may be solved by a careful worker, both accurately and quickly, on the drafting-board, although their solution by analytical means is almost impossible. Notation.-The letter symbols used in this paper are defined where they are first mentioned and, for convenience of reference, a complete list is given in the Appendix.
Water-Hammer Pressures in Compound and Branched Pipes
In two previous papers, the writer has derived the principal equations for water hammer and has given the theory in some detail, so that only the barest outline of the general theory is given herein. Beginning with the two general equations derived by L. Allievi, a graphical construction has been explained in some detail and illustrated in two simple problems of uniform pipes.
For the application of the method to simple pipes, the reader should consult the earlier papers, as this paper deals with other problems, and particularly those on compound and branched pipes. Illustrations are given of the application to parallel pipes, pipes with dead ends, surge tanks in systems, pipes leading from reservoirs and having two branches, each discharging water, the effect of gate closure on turbines and draft-tubes, and the case of a pumping system in which the pressure falls so low as to cause the column to separate. In all these cases the variation of pressure and velocity with time is found for various points in the system.
All these problems, and many more, may be solved by a careful worker, both accurately and quickly, on the drafting-board, although their solution by analytical means is almost impossible. Notation.-The letter symbols used in this paper are defined where they are first mentioned and, for convenience of reference, a complete list is given in the Appendix.
Water-Hammer Pressures in Compound and Branched Pipes
Angus, Robert W. (author)
Transactions of the American Society of Civil Engineers ; 104 ; 340-376
2021-01-01
371939-01-01 pages
Article (Journal)
Electronic Resource
Unknown
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