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BIO Clogged Artery. Viscous blood is flowing through an

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 49E Chapter 12

University Physics | 13th Edition

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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

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Problem 49E

BIO Clogged Artery. Viscous blood is flowing through an artery partially clogged by cholesterol. A surgeon wants to remove enough of the cholesterol to double the flow rate of blood through this artery. If the original diameter of the artery is D, what should be the new diameter (in terms of D) to accomplish this for the same pressure gradient?

Step-by-Step Solution:

Solution 49E Step 1: Diameter of the clogged Artery = D Diameter of the Artery after removing the cholesterol = D N Step 2: Consider a viscous blood of coefficient of viscosity () flowing through artery of radius (R). If dp is the pressure difference, then the Volume of the liquid flowing per second (Volumetric flow rate) through the artery is dV = dp R 4------------(1) (Poiseuille’s equation) dt l 8 Where is the coefficient of viscosity (in Ns m ) -2 dp l is the pressure gradient Step 3: Equation (1) is in the terms of radius, changing the radius as diameter, the equation becomes D 4 dV dp (2) dt = l 8 dV dp D 4 dt = l 8*2 4---------(2)

Step 4 of 6

Chapter 12, Problem 49E is Solved
Step 5 of 6

Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

University Physics was written by and is associated to the ISBN: 9780321675460. This textbook survival guide was created for the textbook: University Physics, edition: 13. The answer to “BIO Clogged Artery. Viscous blood is flowing through an artery partially clogged by cholesterol. A surgeon wants to remove enough of the cholesterol to double the flow rate of blood through this artery. If the original diameter of the artery is D, what should be the new diameter (in terms of D) to accomplish this for the same pressure gradient?” is broken down into a number of easy to follow steps, and 60 words. This full solution covers the following key subjects: artery, clogged, diameter, Blood, cholesterol. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The full step-by-step solution to problem: 49E from chapter: 12 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. Since the solution to 49E from 12 chapter was answered, more than 849 students have viewed the full step-by-step answer.

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