How does plaque affect pressure in an artery?

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SUMMARY

The discussion focuses on the impact of arterial plaque on blood pressure and flow dynamics. When the cross-sectional area of an artery is reduced by a factor of 4 over a segment of 1.5 cm, the pressure difference required to maintain the same flow rate must increase significantly. The relevant equation used in the analysis is P = pgh, which relates pressure to fluid height, density, and gravitational acceleration. Understanding this relationship is crucial for analyzing cardiovascular health and flow mechanics.

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  • Understanding of fluid dynamics principles
  • Familiarity with the equation P = pgh
  • Knowledge of how viscosity affects flow in arteries
  • Basic concepts of cardiovascular physiology
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Homework Statement



Blood is a viscous fluid. If due to plaque, the cross-sectional area of an artery is reduced by a factor 4 over a segment with a length of 1.5 cm, approximately by what factor would the pressure difference between both ends of this segment need to be increased in order to maintain the same flow?

Homework Equations


P=pgh


The Attempt at a Solution



Doesn't only height matter and not the cross-sectional area? Any help is greatly appreciated!
 
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nevermind, got it!
 

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