Question

In: Physics

The blood speed in a normal segment of a horizontal artery is 0.100 m/s. An abnormal...

The blood speed in a normal segment of a horizontal artery is 0.100 m/s. An abnormal segment of the artery is narrowed down by an arteriosclerotic plaque to 1/5 of its normal cross-sectional area. What is the difference in blood pressure between the normal and constricted segments of the artery?

Expert Solution

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Let A be the normal cross-sectional area.

Therefore, area of the cross-section constricted segment,

Velocity of fluid/blood through normal segment,

Therefore, From Continuity equation, we have:

Substituting values:

Therefore, Velocity of blood in constricted segment is given by:

Cancelling out A:

From Bernoulli's equation, Pressure difference is given by:

Where, is the average density of blood,

Therefore, Pressure difference is given by:

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genius_generous answered 7 months ago

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