V03_Fluid Mechanics and Bernoulli Equation Quiz
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Questions and Answers

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

  • Velocity and pressure (correct)
  • Volume and weight
  • Density and viscosity
  • Pressure and temperature

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

  • It increases blood flow through the stenosis.
  • It allows normal blood flow despite high pressure.
  • It prevents sufficient blood flow due to high pressure. (correct)
  • It reduces pressure drop over the stenosis.

What phenomenon does the Reynolds Number help predict in fluid mechanics?

  • Turbulent flow (correct)
  • Viscosity of the fluid
  • Pressure distribution in a fluid
  • Density changes in the fluid

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. (A)</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. (A)</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 (B)</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 (D)</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) (A)</p> Signup and view all the answers

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

<p>Daniel Bernoulli (C)</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 (A)</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 (D)</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. (B)</p> Signup and view all the answers

What principle is responsible for the phenomenon of aerodynamic lift?

<p>The Bernoulli principle (B)</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 (A)</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. (A)</p> Signup and view all the answers

Who is credited with the formulation of the Bernoulli equation?

<p>Daniel Bernoulli (B)</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. (B)</p> Signup and view all the answers

Flashcards

Bernoulli's Principle

The principle that states that in a steady flow of a fluid, the sum of the kinetic energy, potential energy, and pressure energy per unit volume is constant.

Viscosity

A measure of the tendency of a fluid to resist deformation.

Reynolds Number

A dimensionless number that predicts the onset of turbulent flow in a fluid.

Laminar Flow

A flow pattern characterized by smooth, parallel streamlines, often found in fluids with low Reynolds numbers.

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Turbulent Flow

A flow pattern characterized by chaotic and unpredictable movement, often found in fluids with high Reynolds numbers.

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Arterial Stenosis

The narrowing of a blood vessel, particularly arteries, which can restrict blood flow.

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Venturi Effect

The decrease in pressure that occurs when a fluid flows through a constricted area, as described by the Bernoulli equation.

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Aerodynamic Lift

The difference in air pressure between the upper and lower surfaces of an aircraft wing, which generates an upward force, or lift.

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Inverse Relationship Between Velocity and Pressure

The relationship between flow velocity and pressure in a fluid, as described by the Bernoulli equation, where an increase in velocity is accompanied by a decrease in pressure.

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Conditions for Applying Bernoulli's Equation

The conditions necessary for the Bernoulli equation to hold true: steady flow, incompressible fluid, and negligible viscosity.

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Bernoulli Principle in Microfluidics

The application of the Bernoulli principle in microfluidic systems, where the narrowing of channels can influence fluid flow and pressure.

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Daniel Bernoulli

The Swiss mathematician and physicist who laid the theoretical foundation for the Bernoulli equation, which describes the relationship between fluid velocity and pressure.

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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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V03 Fluid Mechanics I WS 23 PDF

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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