Question

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?

Answer 1

Hi,

Hope you are doing well.

__________________________________________________________________________

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:

__________________________________________________________________________

Hope this helped for your studies. Keep learning. Have a good day.

Feel free to clear any doubts at the comment section.

Please don't forget to give a thumps up.

Thank you. :)