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On some model equations for pulsatile flow in viscoelastic vessels

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arxiv 1905.11989 v1 pith:4HM7TSAJ submitted 2019-05-28 physics.flu-dyn physics.comp-ph

classification physics.flu-dynphysics.comp-ph
keywords equationseffectsflowpipespropagationpulsatilevesselsviscoelastic
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Considered here is the derivation of partial differential equations arising in pulsatile flow in pipes with viscoelastic walls. The equations are asymptotic models describing the propagation of long-crested pulses in pipes with cylindrical symmetry. Additional effects due to viscous stresses in bio-fluids are also taken into account. The effects of viscoelasticity of the vessels on the propagation of solitary and periodic waves in a vessel of constant radius are being explored numerically.

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