naa a22 4500 510758312 CHVBK 20180411083130.0 cr unu---uuuuu 180411e20130201xx s 000 0 eng 10.1134/S0869864313010034 doi (NATIONALLICENCE)springer-10.1134/S0869864313010034 Zudin Yu Razumovsky Moscow State University of Technologies and Management, Moscow, Russia aut The velocity of gas bubble rise in a tube [Elektronische Daten] [Yu. Zudin] The solutions of the Laplace equation involving the diverging infinite series are used in the classical works at the analysis of the problem of the gravitational rise of a gas bubble in a tube filled with ideal fluid (the Taylor bubble). In the present work, an approximate method is proposed for a correct analysis of the above problem. The ideal fluid flow around a body of revolution in a tube is constructed by the method of the superposition of elementary solutions. The satisfaction of the free surface condition in the critical point neighborhood and the passage of the main parameter to the limit lead to the sought expression for the dimensionless velocity of the gas bubble — Froude number. Yu.B. Zudin, 2013 gravitational rise nationallicence Taylor bubble nationallicence Laplace equation nationallicence correct analysis nationallicence superposition method nationallicence passage to the limit nationallicence Froude number nationallicence Thermophysics and Aeromechanics Nauka/Interperiodica 20/1(2013-02-01), 29-38 0869-8643 20:1<29 2013 20 11510 https://doi.org/10.1134/S0869864313010034 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1134/S0869864313010034 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Zudin Yu Razumovsky Moscow State University of Technologies and Management, Moscow, Russia aut NATIONALLICENCE 773 0- Thermophysics and Aeromechanics Nauka/Interperiodica 20/1(2013-02-01), 29-38 0869-8643 20:1<29 2013 20 11510 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer