Nonlinear waves in a viscous fluid contained in a viscoelastic tube
Copyright policy )Nonlinear waves in a viscous fluid contained in a viscoelastic tube
The author studies the wave propagation in a prestressed viscoelastic thin tube containing a viscous Newtonian fluid. A reductive perturbation technique is used to study the propagation of weakly nonlinear waves in the longwave approximation. Travelling wave solutions to various related equations are also obtained. Finally, some numerical results are presented based on a finite difference scheme.
- ISIK UNIVERSITY Turkey
- Işık University Turkey
- Florida State University College of Arts and Sciences United States
Perturbed Burgers, Inviscid fluid, Equation, nonlinear waves, Arteries, Korteweg-de Vries equations, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), Finite difference methods applied to problems in fluid mechanics, KdV equations (Korteweg-de Vries equations), Pressure, Elastic tube, Navier-Stokes equations, Solitary waves, Thin tube, Propagation, blood modelling
Perturbed Burgers, Inviscid fluid, Equation, nonlinear waves, Arteries, Korteweg-de Vries equations, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), Finite difference methods applied to problems in fluid mechanics, KdV equations (Korteweg-de Vries equations), Pressure, Elastic tube, Navier-Stokes equations, Solitary waves, Thin tube, Propagation, blood modelling
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