Bernoulli Principle in Horizontal Pipes

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1. For ideal flow at the same height, Bernoulli can be written as:

P = ρgh

P + ½ρv² = constant

P − ½ρv² = constant always

ρv = constant

Concept: horizontal Bernoulli form. When height doesn’t change, the gravitational term cancels. Pressure and kinetic terms trade off to keep total constant.

Explanation

Concept: horizontal Bernoulli form. When height doesn’t change, the gravitational term cancels. Pressure and kinetic terms trade off to keep total constant.

About This Quiz

Bernoulli Horizontal Pipe Quiz: Test Pressure and Velocity Flow - Quiz

This assessment explores Bernoulli's principle in horizontal pipes, focusing on the relationship between pressure and velocity flow. It evaluates understanding of key concepts such as fluid behavior, energy conservation, and pressure changes in fluid systems. This knowledge is crucial for engineers and students in the field of fluid dynamics, enhancing... see moretheir ability to analyze and design efficient piping systems. see less

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2. If v increases in a horizontal pipe (ideal), p must decrease.

True

False

Concept: pressure–speed tradeoff. The kinetic term ½ρv² increases with speed. To keep the sum constant, static pressure drops.

Explanation

Concept: pressure–speed tradeoff. The kinetic term ½ρv² increases with speed. To keep the sum constant, static pressure drops.

3. The term ½ρv² is often called:

Hydrostatic pressure

Dynamic pressure

Vapour pressure

Atmospheric pressure

Concept: dynamic pressure meaning. It represents kinetic energy per unit volume associated with motion. It is not the same as static pressure.

Explanation

Concept: dynamic pressure meaning. It represents kinetic energy per unit volume associated with motion. It is not the same as static pressure.

4. In a horizontal venturi, the narrow section has higher v and lower ______ (ideal).

Concept: venturi result. Continuity increases velocity in the throat. Bernoulli predicts that higher velocity corresponds to lower static pressure.

Explanation

Concept: venturi result. Continuity increases velocity in the throat. Bernoulli predicts that higher velocity corresponds to lower static pressure.

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5. If water speed rises from 2 m/s to 4 m/s in a horizontal pipe (ideal), the kinetic term ½ρv²:

Doubles

Quadruples

Halves

Stays the same

Concept: v² dependence. The term depends on v². Doubling v increases v² by 4, so the kinetic energy density increases fourfold.

Explanation

Concept: v² dependence. The term depends on v². Doubling v increases v² by 4, so the kinetic energy density increases fourfold.

6. Bernoulli predicts a pressure difference that depends on v², not just v.

True

False

Concept: quadratic speed effect. Because the kinetic term uses v², pressure changes can grow quickly as speed increases. This is why fast jets can create strong pressure differences.

Explanation

Concept: quadratic speed effect. Because the kinetic term uses v², pressure changes can grow quickly as speed increases. This is why fast jets can create strong pressure differences.

7. Which instrument estimates fluid speed by comparing stagnation and static pressure?

Thermometer

Pitot tube

Hydrometer

Barometer

Concept: pitot principle. A pitot tube creates a stagnation point where v≈0. The pressure rise relative to static pressure is linked to dynamic pressure.

Explanation

Concept: pitot principle. A pitot tube creates a stagnation point where v≈0. The pressure rise relative to static pressure is linked to dynamic pressure.

8. At a stagnation point, the local fluid speed is approximately zero.

True

False

Concept: stagnation. Flow is brought to rest at the point facing the oncoming stream. Kinetic energy is converted into pressure there (ideal).

Explanation

Concept: stagnation. Flow is brought to rest at the point facing the oncoming stream. Kinetic energy is converted into pressure there (ideal).

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Ekaterina Yukhnovich |PhD |

Science Expert

Ekaterina V. is a physicist and mathematics expert with a PhD in Physics and Mathematics and extensive experience working with advanced secondary and undergraduate-level content. She specializes in combinatorics, applied mathematics, and scientific writing, with a strong focus on accuracy and academic rigor.