Application of the (G′/G)-expansion method to nonlinear blood flow in large vessels

Guy Richard Kol, Conrad Bertrand Tabi

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

As is widely known today, Navier-Stokes equations are used to describe blood flow in large vessels. In the past several decades, and even in very recent works, these equations have been reduced to Korteweg-de Vries (KdV), modified KdV or Boussinesq equations. In this paper, we avoid such simplifications and investigate the analytical traveling wave solutions of the one-dimensional generic Navier-Stokes equations, through the (G ′ /G)-expansion method. These traveling wave solutions include hyperbolic functions, trigonometric functions and rational functions. Since some of them are not yet explored in the study of blood flow, we pay attention to hyperbolic function solutions and we show that the (G ′ /G)-expansion method presents a wider applicability that allows us to bring out the widely known blood flow behaviors. The biological implications of the found solutions are discussed accordingly.

Original languageEnglish
Article number045803
JournalPhysica Scripta
Volume83
Issue number4
DOIs
Publication statusPublished - 2011

Fingerprint

(G′/G)-expansion Method
blood flow
Blood Flow
Vessel
hyperbolic functions
vessels
Hyperbolic function
Traveling Wave Solutions
traveling waves
Navier-Stokes equation
expansion
Navier-Stokes Equations
trigonometric functions
rational functions
Boussinesq Equations
Circular function
Modified Equations
simplification
Korteweg-de Vries Equation
Rational function

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Atomic and Molecular Physics, and Optics
  • Mathematical Physics

Cite this

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Application of the (G′/G)-expansion method to nonlinear blood flow in large vessels. / Kol, Guy Richard; Tabi, Conrad Bertrand.

In: Physica Scripta, Vol. 83, No. 4, 045803, 2011.

Research output: Contribution to journalArticle

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