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 22.2 cm in the diseased section (while staying at the same vertical height). The speed of blood flow is v₁ = 0.42 m S in the normal section and the gauge pressure P₁ is 99.98 mmHg. The density of 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 0.1 S (b) Calculate the pressure gradient AP = P aneurysm Phealthy 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. ΔΡ = 13417.22 ☑ mmHg

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 22.2 cm in the diseased section (while staying at the same vertical height). The speed of blood flow is v₁ = 0.42 m S in the normal section and the gauge pressure P₁ is 99.98 mmHg. The density of 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 0.1 S (b) Calculate the pressure gradient AP = P aneurysm Phealthy 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. ΔΡ = 13417.22 ☑ mmHg

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter15: Fluid Mechanics

Section: Chapter Questions

Problem 9OQ: An ideal fluid flows through a horizontal pipe whose diameter varies along its length. Measurements...

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