چکیده (انگلیسی):

The present paper deals wth a mathematical model for blood flow through stenosed
arteries with axially variable peripheral layer thickness and variable slip at the wall. The model consists of a core region of suspension of all the erythrocytes assumed to be a Casson fluid and a peripheral layer of plasma as a Newtonian fluid. For such models, in literature, the peripheral layer thickness is assumed a priori based on experimental observations. In the present analysis, new analytic expression for the thickness of the peripheral layer has been obtained in terms of measurable quantities (flow rate (Q), centerline velocity (U), pressure gradient (-dp/dz), plasma viscosity (μp), and yield stress (θ)). Using the experimental values of Q, U, (-dp/dz), 0p and θ, the value of the peripheral layer thickness has been computed. The theoretically obtained peripheral layer thickness is compared with its experimental value. It is found that the agreement between the two is very good (error < 1.4%). This information of blood could be useful in the development of new diagnosis tools for many diseases.