Geodesic
About filtration account the crosspiece
Matematičeskoe modelirovanie, Tome 23 (2011) no. 2, pp. 148-158

Voir la notice de l'article provenant de la source Math-Net.Ru

In clause the new direct hydromechanical decision of one of difficult of tasks of the theory of a filtration – task free of a filtration through the crosspiece based on use of a method consecutive (17-th) conformation of displays for translation of area of a filtration on area godogrofa of speed of a filtration is given. The received settlement dependences expressed in elementary functions, allow in an obvious kind to define meanings of speeds of a filtration and directions of a line of currents in any point of area of a filtration for the crosspieces with the given boundary conditions. The results of calculations on them practically completely coincide with the known data of the exact and numerical decisions for special cases. A picture of a field of complete speeds of a filtration as family of izot-lines of equal speeds for the first time is given, are constructed diagrams of speeds of a filtration on the arbitrary chosen lines. The decision allowing practically exact to express modulation elliptic function through is received also elementary.
Keywords: without pressure head a filtration, a crosspiece, consecutive conforming displays, a current line, hodograph speeds of a filtration, modulating function. 
@article{MM_2011_23_2_a10,
     author = {K. N. Anakhayev},
     title = {About filtration account the crosspiece},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {148--158},
     publisher = {mathdoc},
     volume = {23},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2011_23_2_a10/}
}
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K. N. Anakhayev. About filtration account the crosspiece. Matematičeskoe modelirovanie, Tome 23 (2011) no. 2, pp. 148-158. http://geodesic.mathdoc.fr/item/MM_2011_23_2_a10/