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Titolo:
MATHEMATICAL-MODELING OF BLOOD-FLOW THROUGH AN OVERLAPPING ARTERIAL-STENOSIS
Autore:
CHAKRAVARTY S; MANDAL PK;
Indirizzi:
VISVA BHARATI UNIV,DEPT MATH SANTINIKETAN 731235 W BENGAL INDIA
Titolo Testata:
Mathematical and computer modelling
fascicolo: 1, volume: 19, anno: 1994,
pagine: 59 - 70
SICI:
0895-7177(1994)19:1<59:MOBTAO>2.0.ZU;2-K
Fonte:
ISI
Lingua:
ENG
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
CompuMath Citation Index
Science Citation Index Expanded
Science Citation Index Expanded
Science Citation Index Expanded
Citazioni:
NO
Recensione:
Indirizzi per estratti:
Citazione:
S. Chakravarty e P.K. Mandal, "MATHEMATICAL-MODELING OF BLOOD-FLOW THROUGH AN OVERLAPPING ARTERIAL-STENOSIS", Mathematical and computer modelling, 19(1), 1994, pp. 59-70

Abstract

Of concern in the paper is a theoretical study of blood flow in an arterial segment in the presence of a time-dependent overlapping stenosis using an appropriate mathematical model. A remarkably new shape of the stenosis in the realm of the formation of the arterial narrowing caused by atheroma is constructed mathematically. The artery is simulated as an elastic (moving wall) cylindrical tube containing a viscoelastic fluid representing blood. The unsteady flow mechanism of the present investigation is subjected to a pulsatile pressure gradient arising from the normal functioning of the heart. The equations governing the motion of the system are sought in the Laplace transform space and their relevant solutions supplemented by the suitable boundary conditionsare obtained numerically in the transformed domain through the use ofan appropriate finite difference technique. Laplace inversion is alsocarried out by employing numerical techniques. A thorough quantitative analysis is performed at the end of the paper for the flow velocity,the flux, the resistive impedances, and the wall shear stresses together with their variations with the time, the pressure gradient, and the severity of the stenosis in order to illustrate the applicability ofthe present mathematical model under consideration.

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Documento generato il 28/11/20 alle ore 15:23:01