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Babenko, K. I.; Yur’ev, S. P.

Shape of the surface of a capillary liquid in a vertical cylinder of arbitrary cross section. (English. Russian original) Zbl 0483.76020

Sov. Phys., Dokl. 25, 243-245 (1980); translation from Dokl. Akad. Nauk SSSR 251, 1326-1330 (1980).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0483.76020

MSC:

76A99 Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena
76M99 Basic methods in fluid mechanics
33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
49S05 Variational principles of physics

Keywords:

elliptical cross section; free surface; capillarity; vertical cylinder; conformal mapping; Chebyshev polynomials of first kind
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