3 mm 3 mm 2. A physician wants to characterize flow within the arterial stenosis illustrated. She knows that upstream, the diameter, d₁, is 6 mm, the average blood velocity, V1, (assuming steady flow) is 40 cm/s, and the static pressure, p₁ is 100 mmHg. The diameter at the stenosis, d2, is 2 mm, and the downstream diameter, d3, is 3 mm. The density of blood is 1060 kg/m³. The physician has a side-hole infusion catheter and a mercury. manometer with which she can measure pressures in the artery. The catheter is 3 Fr (1 Fr = 1/3 mm dia) outside diameter with a central guide wire lumen. The small side-holes are located 3 mm distal from the guide wire opening at the end of the catheter. Initially, the catheter is inserted from the downstream end of the artery through the stenosis and well past point 1. a) Calculate the stagnation pressure, ps. b) Using conservation of mass and Bernoulli, calculate p1,c, P2,c, p3,c and V1,c, V2,c, V3,c with the catheter in place The physician then pulls back the catheter until the side holes of the drug infusion ports are located at point 1 and connects the drug infusion port to one leg of a mercury manometer (specific gravity 13.5) and the guidewire lumen to the other leg. Both the blood infusion port and the guidewire lumen are flooded with blood. The physician records the height of the manometer. c) What is the height, h₁? The physician pulls the catheter back 3 mm so that the drug infusion ports line up with the point 2, records manometer height, and pulls back again another 3 mm to point 3, records height, and pulls back another 3 mm and records height.. d) What are the heights h2, h3, and h4? Guidewire lumen 3 1 Catheter tip Side hole drug infusion ports Catheter Drug Port Guidewire Lumen T (1) (2) (3) ==========
3 mm 3 mm 2. A physician wants to characterize flow within the arterial stenosis illustrated. She knows that upstream, the diameter, d₁, is 6 mm, the average blood velocity, V1, (assuming steady flow) is 40 cm/s, and the static pressure, p₁ is 100 mmHg. The diameter at the stenosis, d2, is 2 mm, and the downstream diameter, d3, is 3 mm. The density of blood is 1060 kg/m³. The physician has a side-hole infusion catheter and a mercury. manometer with which she can measure pressures in the artery. The catheter is 3 Fr (1 Fr = 1/3 mm dia) outside diameter with a central guide wire lumen. The small side-holes are located 3 mm distal from the guide wire opening at the end of the catheter. Initially, the catheter is inserted from the downstream end of the artery through the stenosis and well past point 1. a) Calculate the stagnation pressure, ps. b) Using conservation of mass and Bernoulli, calculate p1,c, P2,c, p3,c and V1,c, V2,c, V3,c with the catheter in place The physician then pulls back the catheter until the side holes of the drug infusion ports are located at point 1 and connects the drug infusion port to one leg of a mercury manometer (specific gravity 13.5) and the guidewire lumen to the other leg. Both the blood infusion port and the guidewire lumen are flooded with blood. The physician records the height of the manometer. c) What is the height, h₁? The physician pulls the catheter back 3 mm so that the drug infusion ports line up with the point 2, records manometer height, and pulls back again another 3 mm to point 3, records height, and pulls back another 3 mm and records height.. d) What are the heights h2, h3, and h4? Guidewire lumen 3 1 Catheter tip Side hole drug infusion ports Catheter Drug Port Guidewire Lumen T (1) (2) (3) ==========
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 92E
Related questions
Question
Please help and explain for part a b c and d
Thank you
Transcribed Image Text:3 mm
3 mm
2. A physician wants to characterize flow within the arterial stenosis
illustrated. She knows that upstream, the diameter, d₁, is 6 mm, the
average blood velocity, V1, (assuming steady flow) is 40 cm/s, and
the static pressure, p₁ is 100 mmHg. The diameter at the stenosis,
d2, is 2 mm, and the downstream diameter, d3, is 3 mm. The
density of blood is 1060 kg/m³.
The physician has a side-hole infusion catheter and a mercury.
manometer with which she can measure pressures in the artery. The
catheter is 3 Fr (1 Fr = 1/3 mm dia) outside diameter with a central
guide wire lumen. The small side-holes are located 3 mm distal from
the guide wire opening at the end of the catheter. Initially, the catheter
is inserted from the downstream end of the artery through the stenosis
and well past point 1.
a) Calculate the stagnation pressure, ps.
b) Using conservation of mass and Bernoulli, calculate p1,c, P2,c,
p3,c and V1,c, V2,c, V3,c with the catheter in place
The physician then pulls back the catheter until the side holes
of the drug infusion ports are located at point 1 and connects
the drug infusion port to one leg of a mercury manometer
(specific gravity 13.5) and the guidewire lumen to the other leg.
Both the blood infusion port and the guidewire lumen are
flooded with blood. The physician records the height of the
manometer.
c) What is the height, h₁?
The physician pulls the catheter back 3 mm so that the drug
infusion ports line up with the point 2, records manometer
height, and pulls back again another 3 mm to point 3, records
height, and pulls back another 3 mm and records height..
d) What are the heights h2, h3, and h4?
Guidewire
lumen
3 1
Catheter
tip
Side hole drug
infusion ports
Catheter
Drug
Port
Guidewire
Lumen
T
(1) (2) (3)
==========
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