Mustapha, Norzieha and Amin, Norsarahaida and Mandal, Prashanta K. and Abdullah, Ilyani and Hayat, Tasawar (2009) Numerical simulation of generalized Newtonian blood flow past a multiple of irregular arterial stenoses. Numerical Methods for PDE, 27 (4). pp. 960981. ISSN 10982426

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Abstract
This paper looked at the numerical investigations of the generalized Newtonian blood flow through a couple of irregular arterial stenoses. The flow is treated to be axisymmetric, with an outline of the stenoses obtained from a three dimensional casting of a mild stenosed artery, so that the flow effectively becomes twodimensional. The Marker and Cell (MAC) method is developed for the governing unsteady generalized Newtonian equations in staggered grid for viscous incompressible flow in the cylindrical polar coordinates system. The derived pressurePoisson equation was solved using SuccessiveOverRelaxation (S.O.R.) method and the pressurevelocity correction formulae have been derived. Computations are performed for the pressure drop, the wall shear stress distribution and the separation region. The presented computations show that in comparison to the corresponding Newtonian model the generalized Newtonian fluid experiences higher pressure drop, lower peak wall shear stress and smaller separation region. © 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 960–981, 2011
Item Type:  Article 

Uncontrolled Keywords:  nonNewtonian flow, MAC method, flow separation, Sheardependent viscosity 
Subjects:  Q Science > Q Science (General) Q Science > QA Mathematics 
Divisions:  Science 
ID Code:  21951 
Deposited By:  INVALID USER 
Deposited On:  01 Feb 2012 07:37 
Last Modified:  02 Feb 2012 08:52 
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