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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.
Citation:
Yu. P. Gulyaev, “One-dimensional equations of motion of a viscous incompressible fluid in flexible tubes”, Izv. Saratov Univ. Math. Mech. Inform., 12:2 (2012), 64–67
Linking options:
https://www.mathnet.ru/eng/isu298 https://www.mathnet.ru/eng/isu/v12/i2/p64
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