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What fraction of the original area is the area of the reduced blood vessel? How might a calculation like this help a biomechanical engineer working in the field? Include your understanding of the cardiovascular system in your answer.


Diameter of inner area of reduced blood vessel is 4

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Determining the fraction of the original area and the area of ​​the reduced blood vessel

For a determined tubular conductor and for a liquid of known viscosity, the Hagen-Poiseuille equation shows that there is a constant relationship between flow and pressure, that is, that flow is a linear function of ÄP. The P/F ratio is called hydraulic resistance Rh. Dividing EQ II by EQ VII, we have EQ IX:

Here, the resistance is directly proportional to the length of the vessel and inversely proportional to the radius raised to the fourth power.

How a calculation like this can help a biomechanical engineer working in the field

Understanding how the internal shape of a vessel influences the speed and flow of blood passing through the aorta, coronary arteries, or any other vessel in the body; how a vessel that becomes aneurysmal tends to enlarge, independent of other external factors; how in aneurysms it is common to find clots, and, associated with that:

  • Ischemic brain events;
  • How blood viscosity behaves in relation to hematocrit,
  • Hemodilution
  • Temperature
  • and Capillaries

how resistance influences the flow and velocity of blood and how to exchange some units of pressure initially seems to be the task of a scientist.

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