A. M. Blokhin, B. V. Semisalov, “A stationary flow of an incompressible viscoelastic polymeric fluid through a channel with elliptical cross section”, Sib. Zh. Ind. Mat., 2014, Volume 17, Number 4,Pages <nobr>38

This article is cited in 9 papers

A stationary flow of an incompressible viscoelastic polymeric fluid through a channel with elliptical cross section

A. M. Blokhin^ab, B. V. Semisalov^c

^a Sobolev Institute of Mathematics SB RAS, 4 Koptyug av., 630090 Novosibirsk
^b Novosibirsk State University, 2 Pirogova st., 630090 Novosibirsk
^c Design Technological Institute of Digital Techniques SB RAS, 6 Rzhanov st., 630090 Novosibirsk

Abstract: Some boundary-value problem for a quasilinear elliptic equation is posed. The solution to this problem defines the velocity profile for a stationary flow of an incompressible viscoelastic polymeric fluid through a tube having elliptical cross section. The problem is solved numerically with the use of a nonlocal algorithm without saturation.

Keywords: rheological model, boundary value problem, quasilinear elliptic equation, nonlocal numerical method.

UDC: 517.956.3+532.135

Received: 12.05.2014