Fluid Mechanics Overview

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Questions and Answers

What principle explains that pressure applied to a confined fluid is transmitted undiminished in all directions?

  • Bernoulli's principle
  • Pascal's principle (correct)
  • Archimedes' principle
  • Newton's law of motion

Which equation is primarily used to describe the relationship between the velocity and pressure in a flowing fluid?

  • Bernoulli's equation (correct)
  • Continuity equation
  • Darcy-Weisbach equation
  • Navier-Stokes equation

In fluid mechanics, what type of flow is characterized by smooth, orderly layers of fluid that do not mix?

  • Compressible flow
  • Transitional flow
  • Laminar flow (correct)
  • Turbulent flow

Which of the following statements about fluid properties is NOT true?

<p>Surface tension has no effect on fluid behavior. (A)</p> Signup and view all the answers

What does the Darcy-Weisbach equation primarily calculate in fluid mechanics?

<p>Frictional losses due to flow in pipes (D)</p> Signup and view all the answers

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Flashcards

Fluid Statics

The study of how fluids behave when at rest. It investigates concepts like pressure, Pascal's law, and the forces exerted by stationary fluids.

Fluid Dynamics

The study of fluids in motion. Focuses on concepts like streamlines, path lines, and the continuity equation which describes how fluids flow.

Bernoulli's Equation

A key principle in fluid dynamics that relates pressure, velocity, and height of a fluid in a streamline. It states that the total energy of a fluid along a streamline remains constant.

Viscosity

The resistance of a fluid to flow, a measure of its internal friction. Higher viscosity means greater resistance to flow.

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Dimensional Analysis

A mathematical tool that uses dimensional analysis to simplify complex problems in fluid mechanics. It helps in understanding the relationships between different physical quantities involved.

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Study Notes

Fluid Mechanics

  • Fluid Properties: Fluids possess characteristics like density, viscosity, and surface tension.

  • Fluid Statics: Deals with fluids at rest. Key concepts include pressure, Pascal's Law, and hydrostatic forces.

  • Fluid Dynamics: Focuses on fluids in motion. Concepts include streamlines, path lines, and the continuity equation.

  • Fluid Kinematics: Describes fluid motion without considering forces. Includes concepts like velocity fields, acceleration.

  • Fluid Kinematics and Equations of Motion: Explores how forces influence fluid behavior, encompassing concepts like Bernoulli's equation and the Navier-Stokes equations.

  • Pipe Flow: Examines fluid flow within pipes. Key types include laminar and turbulent flow governed by the Darcy-Weisbach equation.

  • Boundary Layer Theory: Analyzes the thin layer of fluid near a solid surface where significant velocity changes occur.

  • Dimensional Analysis and Similarity: Identifies relationships between variables and parameters in fluid systems to predict behaviour via scaling.

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