Fluid Flow; Bernoulli's Equation

In summary, the problem involves calculating the average speed of blood flow in the major arteries of the body, given the data from Example 10-11. The total cross-sectional area of the arteries is about 2.0cm2. The solution involves using the volumetric flow rate of blood in the aorta, which can be calculated using its cross-sectional area and flow velocity. The resulting velocity in the major arteries is approximately 90.5 cm/sec.
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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.
 

1. What is fluid flow?

Fluid flow is the movement of a fluid, such as a liquid or gas, from one location to another. This can occur in a variety of settings, from the flow of water through a pipe to the movement of air over an airplane wing.

2. What is Bernoulli's Equation?

Bernoulli's Equation is a fundamental equation in fluid dynamics that relates the pressure, velocity, and height of a fluid in motion. It states that as the velocity of a fluid increases, the pressure decreases, and vice versa.

3. How is Bernoulli's Equation used in real-world applications?

Bernoulli's Equation is used in many real-world applications, including aerodynamics, hydraulics, and weather forecasting. It is also used in the design of airplanes, cars, and other vehicles to optimize their performance.

4. What are the limitations of Bernoulli's Equation?

Bernoulli's Equation assumes that the fluid is incompressible, non-viscous, and flowing in a steady, laminar manner. It also does not take into account external forces, such as friction or turbulence, which can affect the fluid flow.

5. How does Bernoulli's Equation relate to the conservation of energy?

Bernoulli's Equation is based on the principle of conservation of energy, which states that energy cannot be created or destroyed, only transformed. In fluid flow, the total energy remains constant, and is represented by the sum of the fluid's kinetic energy (due to its motion) and potential energy (due to its position).

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