Journal of Applied Sciences1812-56541812-5662orgz10.3923/jas.2007.1071.1077PonalagusamyR.7200777A mathematical model for blood flow through stenosed
arteries with axially variable peripheral layer thickness and variable
slip at the wall has been considered. The model consists of a core surrounded
by a peripheral layer. It is assumed that the fluids of both the regions
(core and peripheral) are Newtonian having different viscosities. For
such models, in literature, the peripheral layer thickness and slip are
assumed a priori based on experimental observations. In the present analysis,
analytic expressions for the thickness of the peripheral layer, slip and
core viscosity have been obtained in terms of measurable quantities (flow
rate (Q), centerline velocity (U), pressure gradient (-dp/dz) and plasma
viscosity (μ_{p})). Using the experimental values of Q, U,
(-dp/dz) and μ_{p} the values of the peripheral layer thickness,
red cell concentration in the core, core viscosity and slip velocity at
the wall have been determined. The theoretically obtained peripheral layer
thickness has been compared with its experimental value. It is found that
the agreement between the two is very good (error <1.0%). It is important
to mention that in the present analysis, core viscosity has been obtained
by two methods. First by calculating from the formula obtained in the
present analysis and the second by calculating the red cell concentration
in the core and then using concentration versus relative viscosity curve.
A comparison of these two values of the core viscosity shows a reasonably
good agreement between them (difference up to 14%). The analysis developed
here could be used to determine the more accurate values of the apparent
viscosity of blood, agreeability, rigidity and deformability of red cells.
This information of blood could be useful in the development of new diagnosis
tools for many diseases.]]>Bennett, L.,1967in vitro.]]>Brunn, P.,1975Bugliarello, G. and J.W. Hayden,1963in vitro.]]>Bugliarello, G. and J. Sevilla,1970Chaturani, P. and P.N. Kaloni,1976Chaturani, P. and V.S. Upadhya,1979Chaturani, P. and D. Biswas,1983Das, R.N. and V. Seshadri,1970Deshpande, M.D., D.P. Giddens and R.F. Mabon,1979Dintenfass, L.,1977Fry, D.L.,1968Goldsmith, H.L.,1972Hyman, W.A.,1973Lee, J.S. and Y.C. Fung,1970MacDonald, D.A.,1979Majhi, S.N. and L. Usha,1984Nubar, Y.,1971Oldroyd, J.G.,1956Philip, D. and P. Chandra,1996Ponalagusamy, R.,1986Shukla, J.B., R.S. Parihar and S.P. Gupta,1980Shukla, J.B., R.S. Parihar and S.P. Gupta,1980Thomas, D.G.,1965Wang, C.Y. and J.B. Bassingthwaighte,2003Young, D.F.,1968