How does plaque affect pressure in an artery?

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Plaque buildup in arteries reduces their cross-sectional area, impacting blood flow. To maintain the same flow rate despite a fourfold reduction in area over a 1.5 cm segment, the pressure difference must be increased. The discussion highlights the importance of understanding how both area and height influence pressure in fluid dynamics. The original poster initially questioned whether height was the sole factor but later resolved their confusion. Understanding these principles is crucial for analyzing cardiovascular health and blood flow dynamics.
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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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