Fluid Flow; Bernoulli's Equation

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SUMMARY

The discussion focuses on calculating the average speed of blood flow in the major arteries using Bernoulli's Equation and volumetric flow rate. Given the radius of the aorta as 1.2 cm and a blood speed of 40 cm/s, the volumetric flow rate (Q) is calculated as 181 cc/sec. With a total cross-sectional area of 2.0 cm² for the major arteries, the average velocity (v) is determined to be 90.5 cm/s. This value is noted as unusually high for blood flow in arteries.

PREREQUISITES
  • Understanding of Bernoulli's Equation
  • Knowledge of volumetric flow rate calculations
  • Familiarity with cross-sectional area concepts
  • Basic principles of fluid dynamics
NEXT STEPS
  • Study Bernoulli's Equation applications in fluid dynamics
  • Learn about volumetric flow rate and its significance in biological systems
  • Explore the relationship between cross-sectional area and flow velocity
  • Investigate typical blood flow velocities in various blood vessels
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This discussion is beneficial for students in physics or biology, medical professionals studying hemodynamics, and anyone interested in the principles of fluid flow in biological systems.

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Homework Statement



Using the data of Example 10-11, calculate the average speed of blood flow in the major arteries of the body, which have a total cross-sectional area of about 2.0cm2

Homework Equations



well... Actually, I don't know how to solve this problem.
The Example 10-11 gives some of datas.

"The blood returns to the heart via the veins. The radius of the aorta is about 1.2cm, and the blood passing through it has a speed of about 40cm/s. A typical capillary has a radius of about 4 x 10-4cm, and blood flows through it at a speed of about 5 x 10-4 m/s.

The Attempt at a Solution



I do now know what should I use equation first, so would you explain detail to me to learn how to solve this problem easily. Please answer the questions!
 
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All that blood flows through the aorta, and the volumetric flow rate of this blood is the cross sectional area of the aorta times the flow velocity in the aorta: ##Q=\pi (1.2)^2(40)=181 cc/sec##. The total cross sectional area of the major arteries are 2 cm^2. So the velocity in these arteries is ##v=\frac{Q}{A}=181/2=90.5 cm/sec##

Sounds high.
 

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