Research on nonlinear waves of blood flow in arterial vessels

In this paper, considering blood as an incompressible Newtonian fluid, we explore the propagation of blood flow. Based on the Navier-Stokes equations and the continuity equa-tion, the vorticity equation is deduced. Then, using the multi-scale analysis and iterative perturbed method, we derive a new higher order nonlinear Schrodinger equation to de-scribe the blood flow in the blood vessels. The traveling wave solution of the higher order equation is obtained with the help of the extended tanh-function method. By analyzing the higher-order term of the equation, we find that the width and velocity of the blood wave increase during the propagation process. To further study the numerical characteristic, the numerical solutions of the higher order nonlinear Schrodinger equation are obtained by the meshless radial basis function method. The absolute errors between the exact and nu-merical red solutions show that the meshless radial basis function method gives a more accurate solution. Finally, the influencing factors of stroke volume are discussed and ana-lyzed which provide a strong theoretical basis for some blood diseases. (c) 2021 Elsevier B.V. All rights reserved.

Automated summary

This paper investigates the propagation of blood flow in blood vessels by deriving a new higher order nonlinear Schrodinger equation and its traveling wave solution. Analysis shows that the width and velocity of the blood wave increase during propagation. Numerical solutions obtained by the meshless radial basis function method provide more accurate solutions, and influencing factors of stroke volume are discussed for blood diseases.