On some model equations for pulsatile flow in viscoelastic vessels

被引:11
作者
Mitsotakis, Dimitrios [1 ]
Dutykh, Denys [2 ]
Li, Qian [1 ]
Peach, Elijah [1 ]
机构
[1] Victoria Univ Wellington, Sch Math & Stat, POB 600, Wellington 6140, New Zealand
[2] Univ Savoie Mt Blanc, Univ Grenoble Alpes, CNRS, LAMA, F-73000 Chambery, France
关键词
Boussinesq systems; Blood flow; Viscoelastic vessel; PULSE-WAVE PROPAGATION; ONE-DIMENSIONAL MODEL; BLOOD-FLOW; NUMERICAL-SIMULATION; COMPUTER-SIMULATION; SOLITARY WAVES; LONG WAVES; ARTERIAL; 1-D; VALIDATION;
D O I
10.1016/j.wavemoti.2019.05.004
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
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. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码:139 / 151
页数:13
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