Nonlinear modelling of soliton collision dynamics for blood flow in a stenotic artery

We investigate the wave patterns of blood flow through cylindrical incompressible arterial tube with viscous and Newtonian fluid. We attempt to explore the play role of the diameter of the arterial tube and the cross-sectional area of the stenosis on the flow patterns of blood in a symmetrical steno...

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Bibliographic Details
Published inMaterials today : proceedings Vol. 51; pp. A1 - A13
Main Authors Boopathy, C., Kavitha, L., Ravichandran, R.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 2022
Subjects
Artery
Elastic tube
Hirota Bilinearization method
NLS equation
Solitary wave
Solitary wave
Hirota Bilinearization method
Elastic tube
NLS equation
Artery
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Summary:We investigate the wave patterns of blood flow through cylindrical incompressible arterial tube with viscous and Newtonian fluid. We attempt to explore the play role of the diameter of the arterial tube and the cross-sectional area of the stenosis on the flow patterns of blood in a symmetrical stenosed artery. We derive the governing equation as the celebrated dissipation nonlinear Schrödinger equation the frame work of reductive perturbation nonlinear technique. We demonstrate the collision of wave patterns in the form of soliton profile governing the dynamics of blood flow in the stenosed artery and analyze the amplitude attenuation of pressure pulse waves in the fluid filled artery.
ISSN:2214-7853
2214-7853
DOI:10.1016/j.matpr.2022.03.213