What is the Pressure Change in an Aortic Aneurysm?

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SUMMARY

The discussion focuses on calculating the pressure change in an aortic aneurysm, where blood flows from a normal aorta (radius 1.0 cm) into an aneurysm (radius 2.5 cm) with an average flow rate of 120 cm³/s. The user correctly identifies the need to apply Bernoulli's equation after calculating the cross-sectional areas and velocities of blood flow in both sections. The calculated velocities are v1 = 38.20 cm/s and v2 = 6.116 cm/s, leading to the conclusion that the pressure difference can be determined using these values.

PREREQUISITES
  • Understanding of fluid dynamics principles, specifically Bernoulli's equation.
  • Ability to calculate cross-sectional areas using the formula A=πr².
  • Knowledge of flow rate and its relationship to velocity and area (continuity equation).
  • Basic understanding of pressure units, particularly kPa and Pa.
NEXT STEPS
  • Study Bernoulli's equation and its applications in fluid dynamics.
  • Learn about the continuity equation and its role in fluid flow analysis.
  • Research the physiological implications of aortic aneurysms and their treatment options.
  • Explore numerical methods for simulating fluid flow in medical scenarios.
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Medical students, healthcare professionals, and anyone interested in cardiovascular physiology and the mechanics of blood flow in aortic aneurysms.

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Homework Statement



In an aortic aneurysm, a bulge forms where the walls of the aorta are
weakened. If blood flowing through the aorta (radius 1.0 cm) enters an aneurysm with a radius of 2.5 cm, how much on average is the blood pressure higher inside the aneurysm than the pressure in the unenlarged part of the aorta? The average flow rate through the aorta is 120 cm3/s. Assume the blood is nonviscous and the patient is lying down so there is no change in height.
A. 150 kPa B. 75Pa C. 75 kPa D. 62 Pa E. 750 Pa


Homework Equations





The Attempt at a Solution



So I thought I was on the right track, I found the area of both the normal blood vessel, and where the aneurysm is using A=pi*r^2 for A1= 3.142 and A2= 19.63, then I used rate flow=A1v1=A2v2 to find the velocity in both. I got v1= 38.20 and v2= 6.116.

I know I should somehow use Bernoulli's equation, or I think I should, but I have no idea what to do now.

Any help would be appreciated!

Thanks
 
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