Modelling Shock Wave Development in the Transient Coronary Artery Filled with Couple Stress Fluid

This paper investigates the effect of couple stresses on the propagation of nonlinear pulse wave from the heart through a tapered coronary artery. Analysis is done with the assumption that blood is a non-homogeneous fluid. Hence, the presence of the erythrocytes suggests the Stokes couple stress con...

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Veröffentlicht in:	International journal of applied and computational mathematics 2017-06, Vol.3 (2), p.1185-1193
Hauptverfasser:	Adesanya, Samuel O., Falade, John A., Ukaegbu, Joel C.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Applied mathematics Computational mathematics Computational Science and Engineering Constitutive models Erythrocytes Fluid dynamics Fluid flow Mathematical and Computational Physics Mathematical Modeling and Industrial Mathematics Mathematical models Mathematics Mathematics and Statistics Nuclear Energy Operations Research/Decision Theory Original Paper Perturbation methods Pulse propagation Stress propagation Theoretical Wave propagation
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Beschreibung
Zusammenfassung:	This paper investigates the effect of couple stresses on the propagation of nonlinear pulse wave from the heart through a tapered coronary artery. Analysis is done with the assumption that blood is a non-homogeneous fluid. Hence, the presence of the erythrocytes suggests the Stokes couple stress constitutive model. The equation governing the fluid flow are modeled, non-dimensionalized and solved by using reductive perturbation method.
ISSN:	2349-5103 2199-5796
DOI:	10.1007/s40819-016-0164-9