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  1. Zeitschrift für angewandte Mathematik und Physik
  2. Zeitschrift für angewandte Mathematik und Physik : Volume 60
  3. Zeitschrift für angewandte Mathematik und Physik : Volume 60, Issue 2, March 2009
  4. Mass transfer to blood flowing through arterial stenosis
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Zeitschrift für angewandte Mathematik und Physik : Volume 67
Zeitschrift für angewandte Mathematik und Physik : Volume 66
Zeitschrift für angewandte Mathematik und Physik : Volume 65
Zeitschrift für angewandte Mathematik und Physik : Volume 64
Zeitschrift für angewandte Mathematik und Physik : Volume 63
Zeitschrift für angewandte Mathematik und Physik : Volume 62
Zeitschrift für angewandte Mathematik und Physik : Volume 61
Zeitschrift für angewandte Mathematik und Physik : Volume 60
Zeitschrift für angewandte Mathematik und Physik : Volume 60, Issue 6, November 2009
Zeitschrift für angewandte Mathematik und Physik : Volume 60, Issue 5, September 2009
Zeitschrift für angewandte Mathematik und Physik : Volume 60, Issue 4, July 2009
Zeitschrift für angewandte Mathematik und Physik : Volume 60, Issue 3, May 2009
Zeitschrift für angewandte Mathematik und Physik : Volume 60, Issue 2, March 2009
Asymptotic stability for the Navier–Stokes equations in L n
A complete-damage problem at small strains
Analytic first integrals of the FitzHugh – Nagumo systems
Vacuum problem for 1D compressible Navier–Stokes equations with gravity and general pressure law
The generalized Riemann problem for a scalar Chapman–Jouguet combustion model
Critical curves for a fast diffusive polytropic filtration system coupled via nonlinear boundary flux
Mass transfer to blood flowing through arterial stenosis
The Reynolds analogy for the mixed convection over a vertical surface with prescribed heat flux
Flow of a generalized Maxwell fluid induced by a constantly accelerating plate between two side walls
A nonlinear stability analysis for rotating magnetized ferrofluid heated from below saturating a porous medium
An asymptotic expression of the Schrödinger equation
Zeitschrift für angewandte Mathematik und Physik : Volume 60, Issue 1, January 2009
Zeitschrift für angewandte Mathematik und Physik : Volume 59
Zeitschrift für angewandte Mathematik und Physik : Volume 58
Zeitschrift für angewandte Mathematik und Physik : Volume 57
Zeitschrift für angewandte Mathematik und Physik : Volume 56
Zeitschrift für angewandte Mathematik und Physik : Volume 55
Zeitschrift für angewandte Mathematik und Physik : Volume 54
Zeitschrift für angewandte Mathematik und Physik : Volume 53
Zeitschrift für angewandte Mathematik und Physik : Volume 52
Zeitschrift für angewandte Mathematik und Physik : Volume 51
Zeitschrift für angewandte Mathematik und Physik : Volume 50
Zeitschrift für angewandte Mathematik und Physik : Volume 49
Zeitschrift für angewandte Mathematik und Physik : Volume 48

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Mass transfer to blood flowing through arterial stenosis

Content Provider SpringerLink
Author Chakravarty, Santabrata Mandal, Prashanta Kumar Andersson, Helge I.
Copyright Year 2008
Abstract The present investigation deals with a mathematical model representing the mass transfer to blood streaming through the arteries under stenotic condition. The mass transport refers to the movement of atherogenic molecules, that is, blood-borne components, such as oxygen and low-density lipoproteins from flowing blood into the arterial walls or vice versa. The blood flowing through the artery is treated to be Newtonian and the arterial wall is considered to be rigid having differently shaped stenoses in its lumen arising from various types of abnormal growth or plaque formation. The nonlinear unsteady pulsatile flow phenomenon unaffected by concentration-field of the macromolecules is governed by the Navier–Stokes equations together with the equation of continuity while that of mass transfer is controlled by the convection-diffusion equation. The governing equations of motion accompanied by appropriate choice of the boundary conditions are solved numerically by MAC(Marker and Cell) method and checked numerical stability with desired degree of accuracy. The quantitative analysis carried out finally includes the respective profiles of the flow-field and concentration along with their distributions over the entire arterial segment as well. The key factors like the wall shear stress and Sherwood number are also examined for further qualitative insight into the flow and mass transport phenomena through arterial stenosis. The present results show quite consistency with several existing results in the literature which substantiate sufficiently to validate the applicability of the model under consideration.
Ending Page 323
Page Count 25
Starting Page 299
File Format PDF
ISSN 00442275
e-ISSN 14209039
Journal Zeitschrift für angewandte Mathematik und Physik
Issue Number 2
Volume Number 60
Language English
Publisher SP Birkhäuser Verlag Basel
Publisher Date 2008-10-10
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword MAC method Mathematical Methods in Physics Heat and mass transfer, heat flow wall shear stress Physiological flows Sherwood number irregular stenosis Theoretical and Applied Mechanics Mass transfer Finite difference methods
Content Type Text
Resource Type Article
Subject Applied Mathematics Physics and Astronomy
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