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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