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 = 1.1 cm in the normal, healthy section to 12= = 2.2 cm in the diseased section (while staying at the same vertical height). The speed of blood m flow is v₁ = 0.42 in the normal section and the gauge pressure P₁ is 99.98 mmHg. The density of 1 S blood is 1060 kg 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 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
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 = 1.1 cm in the normal, healthy section to 12= = 2.2 cm in the diseased section (while staying at the same vertical height). The speed of blood m flow is v₁ = 0.42 in the normal section and the gauge pressure P₁ is 99.98 mmHg. The density of 1 S blood is 1060 kg 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 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
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter15: Fluids
Section: Chapter Questions
Problem 46PQ
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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 = 1.1 cm in the normal, healthy section to
12= = 2.2 cm in the diseased section (while staying at the same vertical height). The speed of blood
m
flow is v₁ = 0.42
in the normal section and the gauge pressure P₁ is 99.98 mmHg. The density of
1
S
blood is 1060
kg
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
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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