Fluid Dynamics Principles

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Questions and Answers

Which of the following scenarios would Bernoulli's principle NOT be directly applicable?

  • Modeling blood flow through a constricted artery, considering viscous effects. (correct)
  • Estimating the draft in a chimney due to wind blowing across the top.
  • Calculating the pressure drop in a Venturi meter to measure flow rate, assuming ideal conditions.
  • Analyzing airflow over an airplane wing to determine lift.

In fluid dynamics, the Reynolds number is a crucial parameter. What physical quantities does it relate?

  • Pressure forces to gravitational forces.
  • Inertial forces to viscous forces. (correct)
  • Buoyant forces to weight forces.
  • Elastic forces to surface tension forces.

Which of the following is a key characteristic that distinguishes turbulent flow from laminar flow?

  • Fluid particles move in smooth, parallel layers.
  • Turbulent flow occurs at lower velocities compared to laminar flow.
  • Chaotic and irregular motion of fluid particles with eddies and swirls. (correct)
  • Higher viscosity promotes turbulent flow due to increased internal friction.

The Navier-Stokes equations are fundamental in fluid dynamics. What do these equations primarily describe?

<p>The motion of viscous fluid substances, considering both pressure and viscous forces. (A)</p> Signup and view all the answers

In flow measurement, which type of flow meter typically results in the lowest energy loss?

<p>Venturi meter (A)</p> Signup and view all the answers

Kinematic viscosity is an important fluid property. How is it defined mathematically?

<p>The ratio of dynamic viscosity to density. (D)</p> Signup and view all the answers

Which of the following engineering applications primarily relies on principles of fluid mechanics related to aerodynamics?

<p>Design of aircraft wings. (A)</p> Signup and view all the answers

The continuity equation is a fundamental concept in fluid mechanics. What physical principle does it express?

<p>Conservation of mass. (C)</p> Signup and view all the answers

Which of the following instruments is specifically designed to measure the viscosity of a fluid?

<p>Viscometer (B)</p> Signup and view all the answers

In the context of fluid dynamics, what is the main assumption behind the Euler equations?

<p>The fluid is inviscid and the flow is adiabatic. (C)</p> Signup and view all the answers

Flashcards

Navier-Stokes Equations

Equations describing viscous fluid motion, derived from Newton's second law, including pressure and viscous terms.

Euler Equations

Equations governing adiabatic and inviscid flow, relating velocity, pressure, and density, but neglecting viscosity.

Continuity Equation

Expresses mass conservation, stating that the rate of density change equals the negative divergence of mass flux.

Bernoulli's Equation

Relates pressure, velocity, and height in a fluid streamline, assuming steady, incompressible, inviscid flow.

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Laminar Flow

Fluid moves in smooth, parallel layers, occurring at lower velocities and higher viscosities.

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Turbulent Flow

Fluid moves with chaotic, irregular motion, involving eddies, swirls, and velocity fluctuations.

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Reynolds Number (Re)

Dimensionless quantity predicting flow type, ratio of inertial to viscous forces: Re = (ρVL)/μ.

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Dynamic Viscosity (μ)

Tangential force per unit area needed to move one fluid layer past another at a unit velocity gradient.

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Kinematic Viscosity (ν)

Ratio of dynamic viscosity to density, indicating a fluid's resistance to flow under gravity.

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Bernoulli's Principle

Increase in fluid speed occurs simultaneously with a decrease in pressure or potential energy.

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