Formation and dynamics of finite amplitude localized pulses in elastic tubes

B. Eliasson, P. K. Shukla

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We present theoretical and simulation studies of the formation and dynamics of finite-amplitude localized pulses (solitary waves) of an incompressible fluid in an elastic tube. Starting from a set of hydrodynamic equations, we derive a Hamiltonian which represents the energy integral of our system. The energy integral is analyzed to obtain explicit profiles of finite-amplitude solitary pulses. Also studied are the excitation and dynamics of solitary pulses by using computer simulations. It is found that a train of solitary pulses can be excited by the nonlinear self-steepening at shock fronts. The relevance of our investigation to blood solitary waves in arteries is discussed.
LanguageEnglish
Article number067302
Number of pages4
JournalPhysical Review E
Volume71
Issue number6
DOIs
Publication statusPublished - 28 Jun 2005

Fingerprint

Elastic Tubes
pulse amplitude
tubes
Energy Integral
solitary waves
Solitary Waves
pulses
hydrodynamic equations
incompressible fluids
shock fronts
arteries
blood
Hydrodynamic Equations
Arteries
computerized simulation
Incompressible Fluid
Blood
Shock
Computer Simulation
energy

Keywords

  • localized pulses
  • elastic tubes

Cite this

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abstract = "We present theoretical and simulation studies of the formation and dynamics of finite-amplitude localized pulses (solitary waves) of an incompressible fluid in an elastic tube. Starting from a set of hydrodynamic equations, we derive a Hamiltonian which represents the energy integral of our system. The energy integral is analyzed to obtain explicit profiles of finite-amplitude solitary pulses. Also studied are the excitation and dynamics of solitary pulses by using computer simulations. It is found that a train of solitary pulses can be excited by the nonlinear self-steepening at shock fronts. The relevance of our investigation to blood solitary waves in arteries is discussed.",
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Formation and dynamics of finite amplitude localized pulses in elastic tubes. / Eliasson, B.; Shukla, P. K.

In: Physical Review E, Vol. 71, No. 6, 067302, 28.06.2005.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Formation and dynamics of finite amplitude localized pulses in elastic tubes

AU - Eliasson, B.

AU - Shukla, P. K.

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Y1 - 2005/6/28

N2 - We present theoretical and simulation studies of the formation and dynamics of finite-amplitude localized pulses (solitary waves) of an incompressible fluid in an elastic tube. Starting from a set of hydrodynamic equations, we derive a Hamiltonian which represents the energy integral of our system. The energy integral is analyzed to obtain explicit profiles of finite-amplitude solitary pulses. Also studied are the excitation and dynamics of solitary pulses by using computer simulations. It is found that a train of solitary pulses can be excited by the nonlinear self-steepening at shock fronts. The relevance of our investigation to blood solitary waves in arteries is discussed.

AB - We present theoretical and simulation studies of the formation and dynamics of finite-amplitude localized pulses (solitary waves) of an incompressible fluid in an elastic tube. Starting from a set of hydrodynamic equations, we derive a Hamiltonian which represents the energy integral of our system. The energy integral is analyzed to obtain explicit profiles of finite-amplitude solitary pulses. Also studied are the excitation and dynamics of solitary pulses by using computer simulations. It is found that a train of solitary pulses can be excited by the nonlinear self-steepening at shock fronts. The relevance of our investigation to blood solitary waves in arteries is discussed.

KW - localized pulses

KW - elastic tubes

UR - http://journals.aps.org/pre/abstract/10.1103/PhysRevE.71.067302

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DO - 10.1103/PhysRevE.71.067302

M3 - Article

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JO - Physical Review E

T2 - Physical Review E

JF - Physical Review E

SN - 1539-3755

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