Explanation Poiseuille’s law is used for the flow rate of the blood in the pulmonary artery that is flow rate = ( Δ P ) π R 4 / 8 η L but we know that flow rate of an fluid is also derived from continuity equation v A = flow rate . Equating these two expressions, the average speed of blood in the pulmonary artery is determined. Given info : The pressure drop between the heart and lungs is 400 Pa , the coefficient of viscosity of blood is 2.7 × 10 − 3 N ⋅ s/m 2 , the length of the pulmonary artery is 8.4 cm , and the inner radius of the pulmonary artery is 2.6 mm . The formula for the average speed of blood in the pulmonary artery is, v = ( Δ P ) R 2 8 η L Δ P is pressure drop. R is inner radius of the pulmonary artery. η is the coefficient of viscosity of blood. L is length of the pulmonary artery. Substitute 400 Pa for Δ P , 2.6 mm for R , 2

Bundle: College Physics, Loose-Leaf Version, 10th, + WebAssign Printed Access Card for Serway/Vuille's College Physics, 10th Edition, Multi-Term

10th Edition

ISBN: 9781305367395

Author: Raymond A. Serway, Chris Vuille

Publisher: Cengage Learning

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Variation of pressure

From the equation of pressure, pressure is directly proportional to the applied force.

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Chapter 9, Problem 66P

To determine

The average speed of blood in the pulmonary artery.

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Bundle: College Physics, Loose-Leaf Version, 10th, + WebAssign Printed Access Card for Serway/Vuille's College Physics, 10th Edition, Multi-Term

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The average speed of blood in the pulmonary artery.

Solution Summary: The author explains that Poiseuille's law is used for the flow rate of the blood in the pulmonary artery.

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The average speed of blood in the pulmonary artery.

Chapter 9 Solutions