Propagation of weakly nonlinear waves in fluid-filled thick viscoelastic tubes

DOI10.1016/S0307-904X(99)00012-8zbMath0990.76099OpenAlexW2086022360MaRDI QIDQ1584045

Hilmi Demiray

Publication date: 14 August 2002

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0307-904x(99)00012-8

zbMATH Keywords

evolution equationsolitary wavedispersionscalinglong-wave approximationblood flowperturbation parameterincompressible inviscid fluidreductive perturbation methodarteriestravelling wave profileinner pressure-inner cross-sectional area relationprestressed thick-walled viscoelastic tube

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Solitary waves for incompressible inviscid fluids (76B25) Biomechanics (92C10) Physiological flows (76Z05)

Related Items (4)

Nonlinear fluid flows in pipe-like domain problem using variational-iteration method ⋮ Forced Korteweg-de Vries equation in an elastic tube filled with an inviscid fluid ⋮ Traveling wave solutions of the Burgers-KdV equation with a fourth order term ⋮ Painlevé property, Lax pair and Darboux transformation of the variable-coefficient modified Kortweg-de Vries model in fluid-filled elastic tubes

Cites Work

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• Solitary waves in prestressed elastic tubes
• The Fluid Mechanics of Large Blood Vessels
• Nonlinear waves and shock calculations for hyperelastic fluid-filled tubes
• A non-linear equation incorporating damping and dispersion
• Exact solutions for two nonlinear equations. I

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