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(c) Do you support the physician's recommendation of surgery to remove the constriction or is it of only minor consequence, perhaps obscuring the true circulatory problem?

(c) Do you support the physician's recommendation of surgery to remove the constriction or is it of only minor consequence, perhaps obscuring the true circulatory problem?

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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One of your friends has experienced a circulatory problem. A physician has diagnosed this as a problem in fluid mechanics and recommends corrective surgery. You, as an expert in fluid mechanics, are called upon to assess the correctness of the diagnosis: i.e., to provide a "second opinion". The physician believes that a shoulder artery, which is normally required to carry a flow of 1.2 liters/minute of blood has become pinched or constricted by an overgrowth of the adjacent bones. The normal artery has an internal diameter of 0.4 cm at this position. The physician believes that a 4 cm long section has had its cross sectional area reduced by a factor of four. These dimensional data are taken from X-ray negatives and are presumably correct. The stress-strain relationship for blood is described by the Bingham plastic equation. However, let us make the simplifying assumption that blood is a Newtonian fluid with density = 1050 kg/m³ and viscosity = 3.2x 10-3 Pa.s.
Transcribed Image Text:One of your friends has experienced a circulatory problem. A physician has diagnosed this as a problem in fluid mechanics and recommends corrective surgery. You, as an expert in fluid mechanics, are called upon to assess the correctness of the diagnosis: i.e., to provide a "second opinion". The physician believes that a shoulder artery, which is normally required to carry a flow of 1.2 liters/minute of blood has become pinched or constricted by an overgrowth of the adjacent bones. The normal artery has an internal diameter of 0.4 cm at this position. The physician believes that a 4 cm long section has had its cross sectional area reduced by a factor of four. These dimensional data are taken from X-ray negatives and are presumably correct. The stress-strain relationship for blood is described by the Bingham plastic equation. However, let us make the simplifying assumption that blood is a Newtonian fluid with density = 1050 kg/m³ and viscosity = 3.2x 10-3 Pa.s.
(c) Do you support the physician's recommendation of surgery to remove the constriction or is it of only minor consequence, perhaps obscuring the true circulatory problem?
Transcribed Image Text:(c) Do you support the physician's recommendation of surgery to remove the constriction or is it of only minor consequence, perhaps obscuring the true circulatory problem?
Expert Solution
Step 1: We have to compare the pressures in the constriction area to the normal pressure by the heart

The normal pressure through the artery is calculated as 4.53 Pa.


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