Question

Asked Nov 28, 2019

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. Calculate overpressure for artery which has a puffed-up region (aneurysm) applying

Bernoulli’s equation and law of continuity. Suppose, diameter of artery increases from value ?1 = 2.5

cm to ?2 = 5 cm. Average flow velocity in norm is ?1 = 0.3 cm/sec.

Step 1

Let the radius of the normal artery be denoted as *r*_{1 }and that of the puffed up artery as *r*_{2}

The radiuses *r*_{1 }and *r*_{2 }are known from diameters of the normal artery *d*_{1} and that of the puffed up artery *d*_{2}.

Substitute 2.5 cm for *d*_{1} and 5 cm for *d*_{2 }and solve for *r*_{1} and *r*_{2} as

Step 2

The equation of continuity for an incompressible fluid (Here the blood flowing in the arteries is assumed to be incompressible) is given by,

Step 3

Here, *A*1 is the area of cross section for the normal artery and *A*2 is the area of cross section for the puffed artery.*v*1 is the velocity of the blood in the normal artery and *v*2 is the velocity of blood flow in the puffed up artery.

For arteries the cross section is taken to be circular...

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