ANALYSIS OF CASSON FLUID MODEL FOR BLOOD FLOW IN EXTERNALLY APPLIED MAGNETIC FIELD - Theoretical and Computational Research in the 21st Century - page 240

11.2 THE PROBLEM AND ITS SOLUTION

Consider the motion of blood following Herschel-Bulkley equation
through an axially symmetric stenosed artery under the influence of an ex-
ternal applied uniform transverse magnetic field, shown in Figure (11.2),
whereas the apparent geometry shown in Figure (11.1).

FIGURE 11.1 Geometry of stenosis.

FIGURE 11.2 Geometry of composite stenosis in an artery.

In such a case, the radius of artery R ( z ) can be written as

{ } Rz () = R

⎡ ⎤

dzdl ≤≤+

( ) s − s

1 − Al ( ) ( zd − ) − ( zd − )

, where

⎣ ⎦

0 0

0

and radius of the artery is R ( z )
= R 0, otherwise (1)