Comparison of inviscid and viscid one-dimensional models of blood flow in arteries

作者：

Highlights：

• The 1D models of non-Newtonian hemodynamics are introduced.

• The perturbation method is used for the analytical solution of the problems for the inviscid model.

• The analytical solutions of the model problems for the infinite, semi-infinite, and finite interval are obtained.

• The solutions, obtained for the inviscid and viscid models are compared and the effect of the velocity profile is analyzed.

摘要

•The 1D models of non-Newtonian hemodynamics are introduced.•The perturbation method is used for the analytical solution of the problems for the inviscid model.•The analytical solutions of the model problems for the infinite, semi-infinite, and finite interval are obtained.•The solutions, obtained for the inviscid and viscid models are compared and the effect of the velocity profile is analyzed.

论文关键词：Blood flow,Hemodynamics,One-dimensional model,Non-Newtonian fluid

论文评审过程：Received 20 February 2021, Revised 17 October 2021, Accepted 3 December 2021, Available online 15 December 2021, Version of Record 15 December 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126856