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# Chapter 15: Fluids in Motion

Fluid dynamics is a rich and complex field of study with turbulence and chaos in its wake. For our purposes, however, just as in the case when we first introduced Newton's laws where we learned how to describe motion on "frictionless" surfaces, we will focus primarily on ideal fluids (fluids without friction (no viscosity) and fluids that do not rotate). The two main equations we will use are the continuity equation (what flows in must flow out) and Bernoulli's equation (conservation of energy). As a result, we will be able to understand the connection between fluid motion and pressure.

# Table of Contents

## Illustrations

- Illustration 15.1: The Continuity Equation.
- Illustration 15.2: Bernoulli's Principle at Work.
- Illustration 15.3: Ideal and Viscous Fluid Flow.
- Illustration 15.4: Airplane Lift.

## Explorations

- Exploration 15.1: Blood Flow and the Continuity Equation.
- Exploration 15.2: Bernoulli's Equation.
- Exploration 15.3: Application of Bernoulli's Equation.

## Problems

- Problem 15.1: Blood flow through partially blocked artery.
- Problem 15.2: Density of liquid flowing through pipes.
- Problem 15.3: Water level in a leaky container.
- Problem 15.4: Pressure inside a leaky container.
- Problem 15.5: Density of liquid in a leaky container.
- Problem 15.6: Liquid flowing through narrower pipes.
- Problem 15.7: Identify the correct animation for liquid flowing through pipes.
- Problem 15.8: Boats in a flowing river.
- Problem 15.9: Water fountain pump.
- Problem 15.10: Viscous flow.