The blood speed in a normal segment of a horizontal artery is 0.13 m/s. An abnor

Question

The blood speed in a normal segment of a horizontal artery is 0.13 m/s. An abnormal segment of the artery is narrowed down by an arteriosclerotic plaque to one-sixththe normal cross-sectional area. What is the difference in blood pressures between the normal and constricted segments of the artery? (See Table 11.1 for appropriate constants.)

The blood speed in a normal segment of a horizontal artery is 0.13 m/s. An abnormal segment of the artery is narrowed down by an arteriosclerotic plaque to one-sixth the normal cross-sectional area. What is the difference in blood pressures between the normal and constricted segments of the artery? (See Table 11.1 for appropriate constants.)

Explanation / Answer

As we know that

AV = Constant

Therefore

A*0.13 = (A/6)*V

V = 0.78 m/sex

According to the ernoulli Equation

P + pgh + 0.5*p*v^2 = Constant

Therefore

Pressure Difference = 0.5*p*(v^2 - v1^2)

= 0.5*1060*(0.78^2 - 0.13^2)

= 313.495 Pa

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