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Chaotic flows in pulsating cylindrical tubes: a class of exact NavierStokes solutions

2003
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Journal of Fluid Mechanics
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We consider the unsteady motion of a viscous incompressible fluid inside a cylindrical tube whose radius is changing in a prescribed manner. We construct a class of exact solutions of the Navier-Stokes equations in the case when the vessel radius is a function of time alone so that the cross-section is circular and uniform along the pipe axis. The Navier-Stokes equations admit solutions which are governed by nonlinear partial differential equations depending on the radial coordinate and time

doi:10.1017/s0022112003003835
fatcat:teqagft2tjd3lgmdtxrpqxh6em