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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2012 Volume 12, Issue 2, Pages 64–67 (Mi isu298)

Mechanics

One-dimensional equations of motion of a viscous incompressible fluid in flexible tubes

Yu. P. Gulyaev

Saratov State University, Chair of Mathematical Theory of Elasticity and Biomechanics

Abstract: This paper describes a new variant of the averaging of the Navier–Stokes equations for axisymmetric flow of a viscous incompressible fluid with a minimum number of simplifying hypotheses. The complete system is spatially one-dimensional differential equations describing the dynamics of blood flow in the large arteries.

Key words: linearized, one-dimensional equation, axisymmetric oscillations, Poiseuille law.

UDC: 539.3

DOI: 10.18500/1816-9791-2012-12-2-64-67



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