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# V03_Fluid Mechanics and Bernoulli Equation Quiz

Created by
@DauntlessLotus

### What property of a fluid does the Bernoulli Equation relate to?

Velocity and pressure

### How does severe arterial stenosis affect blood flow according to the text?

It prevents sufficient blood flow due to high pressure.

Turbulent flow

### Why does an increase in fluid velocity result in a decrease in pressure, according to the Bernoulli Equation?

<p>To conserve energy within the fluid.</p> Signup and view all the answers

### How does the Venturi Effect explain pressure changes in a constricted pipe?

<p>Pressure decreases as fluid velocity increases due to conservation of momentum.</p> Signup and view all the answers

### According to the Bernoulli equation, what happens to the pressure when the flow velocity increases?

<p>The pressure decreases</p> Signup and view all the answers

### What phenomenon is observed in a Venturi tube, which is based on the Bernoulli principle?

<p>The flow velocity increases as the cross-sectional area decreases, causing a pressure drop</p> Signup and view all the answers

### In the context of microfluidic systems, which application of the Bernoulli principle is discussed?

<p>Arterial stenosis (narrowing of arteries)</p> Signup and view all the answers

### Who is credited with formulating the theoretical basis for the Bernoulli equation?

<p>Daniel Bernoulli</p> Signup and view all the answers

### What is the primary factor that causes the aerodynamic lift on an aircraft wing, according to the Bernoulli principle?

<p>The difference in air pressure between the upper and lower surfaces of the wing</p> Signup and view all the answers

### What is the relationship between flow velocity and pressure, as described by the Bernoulli equation, assuming other factors remain constant?

<p>Flow velocity and pressure are inversely proportional</p> Signup and view all the answers

### What condition must be satisfied for the Bernoulli equation to be valid?

<p>The flow must be steady, incompressible, and inviscid.</p> Signup and view all the answers

### What principle is responsible for the phenomenon of aerodynamic lift?

<p>The Bernoulli principle</p> Signup and view all the answers

### In the context of microfluidic systems, what does the term 'laminar flow' refer to?

<p>Flow with a low Reynolds number and smooth, parallel streamlines</p> Signup and view all the answers

### According to the Bernoulli equation, what happens to the pressure when the velocity of a fluid increases?

<p>The pressure varies inversely with the square of the velocity.</p> Signup and view all the answers

### Who is credited with the formulation of the Bernoulli equation?

<p>Daniel Bernoulli</p> Signup and view all the answers

### What is the Venturi effect, and how is it related to the Bernoulli equation?

<p>The Venturi effect describes the decrease in pressure as a fluid flows through a constriction, and it is a direct consequence of the Bernoulli equation.</p> Signup and view all the answers

## Study Notes

### Fluid Mechanics

• At severe arterial stenosis, the pressure drop is too high, resulting in not enough blood flowing through.
• Mild stenosis: pressure drop is moderate.
• Severe stenosis: pressure drop is very high.

### Bernoulli Equation

• The equation relates the pressure of a fluid to its velocity: v² + p/ρ = const.
• Applies to steady-state and laminar flow.
• States that the sum of the kinetic energy and potential energy of a fluid is constant.

### Aerodynamic Lift

• The shape of an airfoil is designed such that the air velocity above is faster than the velocity below.
• This results in less pressure above than below the airfoil, creating a lift (force).

### Reynolds Number (Re)

• Developed by Osborne Reynolds (1842-1912).
• Measures the nature of fluid flow (laminar or turbulent).

### Venturi Effect

• High flow velocity corresponds to low pressure, and high pressure corresponds to low flow velocity.
• Experimentally demonstrated by Giovanni Battista Venturi (1746-1822).

### Euler Equation

• A mathematical equation describing fluid flow in the absence of friction (laminar flow).
• Relates the velocity of a fluid to its pressure and density.

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## Description

Test your knowledge on fluid mechanics, specifically focusing on the Bernoulli equation, Euler equation, Venturi effect, and microfluidic systems. Explore concepts related to steady-state, laminar flow, flow velocity, and pressure in this quiz.

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