(a) Assume that the cross-sections of the ventricle and the aorta are both about 4.8 cm². The area of a healthy, open aortic valve is 3.8 cm². In a healthy body, the average velocity of blood in the left cm ventricle and in the aorta is about 49. Determine the velocity across the valve. S Think: What equations dictating the flow through the valve are valid: the equation of continuity, Bernoulli's equation or Poiseuille's equation? What simplifications should you make regarding the blood flow. cm V valve (b) Determine the pressure gradient across the aortic valve. Think: What equations dictating the flow through the valve are valid: the equation of continuity, Bernoulli's equation or Poiseuille's equation? Are the radii of the different regions the same? Can you apply Poiseuille's equation? Can you apply Bernoulli's equation? What simplifications should you make regarding the blood flow, if you plan to use Bernoulli's equation? ΔΡ = ✔mmHg

(a) Assume that the cross-sections of the ventricle and the aorta are both about 4.8 cm². The area of a healthy, open aortic valve is 3.8 cm². In a healthy body, the average velocity of blood in the left cm ventricle and in the aorta is about 49. Determine the velocity across the valve. S Think: What equations dictating the flow through the valve are valid: the equation of continuity, Bernoulli's equation or Poiseuille's equation? What simplifications should you make regarding the blood flow. cm V valve (b) Determine the pressure gradient across the aortic valve. Think: What equations dictating the flow through the valve are valid: the equation of continuity, Bernoulli's equation or Poiseuille's equation? Are the radii of the different regions the same? Can you apply Poiseuille's equation? Can you apply Bernoulli's equation? What simplifications should you make regarding the blood flow, if you plan to use Bernoulli's equation? ΔΡ = ✔mmHg

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter14: Fluid Mechanics

Section: Chapter Questions

Problem 89P: A container of water has a cross-sectional area of A=0.1m2 . A piston sits top of the water (see be...

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