A fusiform aneurysm bulges or balloons out an artery on all sides (pictured below). If this aneurysm occurs in an aorta, the internal radius may increase from r₁ = 1.12 cm in the normal, healthy section to r₂ = 2.24 cm in the diseased section (while staying at the same vertical height). The speed of blood in the normal section and the gauge pressure P₁ is 100 mmHg. The density of flow is v₁ = 0.4 m S kg blood is 1060 m³ Fusiform Aneurysm Image from: http://www.okclipart.com/Fusiform-Aneurysm-Clip-Art30koqyaskv/ (a) Calculate the speed of blood v2 in the aneurysm. Answer to two significant figures. Think: What equations dictating the flow through the valve are valid, equation of continuity, Bernoulli or Poiseuille? What simplifications should you make regarding the blood flow. m V₂ = S (b) Calculate the pressure gradient AP = P -P aneurysm healthy aorta from the healthy aorta into the aneurysm. Think: What equations dictating the flow through the valve are valid, equation of continuity, Bernoulli or Poiseuille? What simplifications should you make regarding the blood flow. AP = mmHg (c) The pressure within the aneurysm is the pressure within the healthy aorta. O larger than ○ equal to O smaller than

Principles of Physics: A Calculus-Based Text
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Chapter15: Fluid Mechanics
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Problem 9OQ: An ideal fluid flows through a horizontal pipe whose diameter varies along its length. Measurements...
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A fusiform aneurysm bulges or balloons out an artery on all sides (pictured below). If this aneurysm
occurs in an aorta, the internal radius may increase from r₁ = 1.12 cm in the normal, healthy section
to r₂ = 2.24 cm in the diseased section (while staying at the same vertical height). The speed of blood
in the normal section and the gauge pressure P₁ is 100 mmHg. The density of
flow is v₁ = 0.4
m
S
kg
blood is 1060
m³
Fusiform Aneurysm
Image from: http://www.okclipart.com/Fusiform-Aneurysm-Clip-Art30koqyaskv/
(a) Calculate the speed of blood v2 in the aneurysm. Answer to two significant figures.
Think: What equations dictating the flow through the valve are valid, equation of continuity, Bernoulli
or Poiseuille? What simplifications should you make regarding the blood flow.
m
V₂ =
S
(b) Calculate the pressure gradient AP = P
-P
aneurysm
healthy aorta
from the healthy aorta into the
aneurysm.
Think: What equations dictating the flow through the valve are valid, equation of continuity, Bernoulli
or Poiseuille? What simplifications should you make regarding the blood flow.
AP =
mmHg
(c) The pressure within the aneurysm is
the pressure within the healthy aorta.
O larger than
○ equal to
O smaller than
Transcribed Image Text:A fusiform aneurysm bulges or balloons out an artery on all sides (pictured below). If this aneurysm occurs in an aorta, the internal radius may increase from r₁ = 1.12 cm in the normal, healthy section to r₂ = 2.24 cm in the diseased section (while staying at the same vertical height). The speed of blood in the normal section and the gauge pressure P₁ is 100 mmHg. The density of flow is v₁ = 0.4 m S kg blood is 1060 m³ Fusiform Aneurysm Image from: http://www.okclipart.com/Fusiform-Aneurysm-Clip-Art30koqyaskv/ (a) Calculate the speed of blood v2 in the aneurysm. Answer to two significant figures. Think: What equations dictating the flow through the valve are valid, equation of continuity, Bernoulli or Poiseuille? What simplifications should you make regarding the blood flow. m V₂ = S (b) Calculate the pressure gradient AP = P -P aneurysm healthy aorta from the healthy aorta into the aneurysm. Think: What equations dictating the flow through the valve are valid, equation of continuity, Bernoulli or Poiseuille? What simplifications should you make regarding the blood flow. AP = mmHg (c) The pressure within the aneurysm is the pressure within the healthy aorta. O larger than ○ equal to O smaller than
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