Fluids in Motion and Bernoulli's Principle

Name: Fluids in Motion and Bernoulli's Principle
Author: StemPy Lab

Water speeds up when it comes out of a narrow nozzle, and a plane is lifted by the air that moves over its wings. In this course we describe the steady flow of a fluid with streamlines, we write the equation of continuity and Bernoulli's equation, and we use them for a tank with a hole, a Venturi meter, a spray and the lift of a wing.

3 lessons, about 1 h 15 min3 simulations12 problems6 practice questionsPython in every lesson

Created by StemPy Lab

Course outline (3 lessons)

Lesson 1about 25 min
Streamline flow and the equation of continuity
In steady (streamline) flow the velocity at each point does not change, and particles follow fixed streamlines; fast flow becomes turbulent. For an incompressible fluid the volume per second is the same through every section: $A_1v_1 = A_2v_2$ , so a fluid speeds up where a pipe narrows.
1 simulation2 practice questions1 Python program4 problems1 Python lab1 question set
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Lesson 2about 25 min
Bernoulli's principle
Bernoulli's principle: along a streamline of an ideal fluid in steady flow, $p + \tfrac12\rho v^2 + \rho gh$ stays the same. It is the conservation of energy per unit volume. Where a fluid moves faster, or higher up, its pressure is lower.
1 simulation2 practice questions1 Python program4 problems
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Lesson 3about 25 min
Uses of Bernoulli's principle
Bernoulli's principle explains many things. Water leaves a hole $h$ below the surface at $v = \sqrt{2gh}$ (Torricelli's law). A Venturi meter finds the speed of flow from the drop of pressure in a narrow throat. Sprays, the lift on a wing, a spinning ball's swerve and roofs lifted in storms all come from fast air having low pressure.
1 simulation2 practice questions1 Python program4 problems1 Python lab1 note
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Bernoulli's Principle and Fluid Flow: Practice Paper

20 questions · 50 min

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Fluids in Motion and Bernoulli's Principle

Course outline (3 lessons)

Streamline flow and the equation of continuity

Bernoulli's principle

Uses of Bernoulli's principle

Test Your Learning

Your teacher

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