HR: 0800h
AN: H21C-0708    [Abstracts]
TI: Study Of Nonstationari Motion Of Liquid In Pipe-Line At Emergency Breakage
AU: * Zalikashvili, G
EM: gg_zal@yahoo.com
AB: In pipelines none stable movement of liquid is described with no rectilinear differential equations. (1) (2) For long pipelines we can ignore following members and . The system of equations becomes: ; (3) (4) After rectilinearization (3) the equations becomes: . (5) After differentiating the (5) formula, it we equalize its members we get: . (6) If we appeal x straight to the pipeline and for example. If the coordination of rennet is L occurred an emergency hole and its size is . In this case it should be solved the system of differential equations: (7) ; (8) and are pressure in the corresponding sphere and . The expenditure of liquid, flowing through the emergency hole should be taken in to account: . (9) The emergency expenditure could be considered in aquation. In this case, the system of differential equation changes with only equation: , (10) The expenditure from the emergency hole will be: . (11) The 10th equation becomes the following . (12) After designation we get: . (13) There will be added the initial conditions to the 13th equation: (14) If we take into account and and also the time of the wave or getting on the top and at the end of the pipe-line then (15) (16) Where, and -are the function towards Summary Nonstationari motion of at emergency breakage of pipe-line is considered. Linearization of differential, equation is and the solution is found using finite Furie sine-transform. bibl.3.
DE: 1805 Computational hydrology
DE: 1839 Hydrologic scaling
DE: 1846 Model calibration (3333)
DE: 1849 Numerical approximations and analysis
SC: Hydrology [H]
MN: 2007 Fall Meeting