bernoulli's theorem: meaning, definition, pronunciation and examples
LowTechnical/Scientific
Quick answer
What does “bernoulli's theorem” mean?
A fundamental principle in fluid dynamics stating that an increase in the speed of a fluid occurs simultaneously with a decrease in static pressure or a decrease in the fluid's potential energy.
Audio
Pronunciation
Definition
Meaning and Definition
A fundamental principle in fluid dynamics stating that an increase in the speed of a fluid occurs simultaneously with a decrease in static pressure or a decrease in the fluid's potential energy.
In broader physics and engineering contexts, it describes the conservation of energy in a flowing fluid, relating pressure, velocity, and elevation. It is foundational for understanding lift in aerodynamics, fluid flow in pipes, and various hydraulic systems.
Dialectal Variation
British vs American Usage
Differences
No significant lexical or grammatical differences. Spelling of 'theorem' is consistent. Pronunciation of 'Bernoulli' may show slight variation.
Connotations
Identical technical connotations in both varieties.
Frequency
Equally low-frequency and specialized in both UK and US academic/engineering contexts.
Grammar
How to Use “bernoulli's theorem” in a Sentence
[Subject] applies Bernoulli's theorem to [object]Bernoulli's theorem governs/describes [phenomenon]According to Bernoulli's theorem, [consequence]Vocabulary
Collocations
Examples
Examples of “bernoulli's theorem” in a Sentence
verb
British English
- We can Bernoulli-transform the equation for simpler analysis.
- The engineer Bernoullied the flow parameters to check for lift.
American English
- We can Bernoulli-transform the equation for simpler analysis.
- The engineer Bernoullied the flow parameters to check for lift.
adverb
British English
- The pressure dropped Bernoulli-theorem-ically as velocity increased.
- The fluid behaved Bernoulli-theorem-wise.
American English
- The pressure dropped Bernoulli-theorem-ically as velocity increased.
- The fluid behaved Bernoulli-theorem-wise.
adjective
British English
- The Bernoulli-theorem application is standard here.
- We observed a Bernoulli-type effect in the data.
American English
- The Bernoulli-theorem application is standard here.
- We observed a Bernoulli-type effect in the data.
Usage
Meaning in Context
Business
Virtually never used.
Academic
Core concept in physics, fluid mechanics, and engineering courses and research papers.
Everyday
Extremely rare; might be mentioned in popular science explanations of flight.
Technical
Fundamental in aeronautical, civil, mechanical, and chemical engineering design and analysis.
Vocabulary
Synonyms of “bernoulli's theorem”
Neutral
Weak
Watch out
Common Mistakes When Using “bernoulli's theorem”
- Misapplying it to viscous or compressible flows where its assumptions fail.
- Confusing it with Boyle's law or other gas laws.
- Using 'Bernoulli's theory' – it is a theorem, not a theory.
- Incorrect pronunciation: /bərˈnʊli/ instead of /bɜːˈnuːli/.
FAQ
Frequently Asked Questions
Daniel Bernoulli (1700–1782) was a Swiss mathematician and physicist who published the theorem in his book 'Hydrodynamica' in 1738.
Yes, it is commonly applied to air, provided the flow speeds are low enough that air can be treated as approximately incompressible (typically below Mach 0.3).
Key assumptions include: steady flow, incompressible fluid, inviscid flow (no friction), and flow along a streamline.
It is a major part of the simplified explanation, but the full explanation of lift is more complex, involving Newton's third law and circulation, not just Bernoulli's theorem alone.
A fundamental principle in fluid dynamics stating that an increase in the speed of a fluid occurs simultaneously with a decrease in static pressure or a decrease in the fluid's potential energy.
Bernoulli's theorem is usually technical/scientific in register.
Bernoulli's theorem: in British English it is pronounced /bɜːˈnuːliz ˈθɪərəm/, and in American English it is pronounced /bɝˈnuːliz ˈθiːərəm/. Tap the audio buttons above to hear it.
Learning
Memory Aids
Mnemonic
Think of a fast-flowing river (high speed) being shallow (low pressure) – Bernoulli's theorem links speed and pressure in fluids.
Conceptual Metaphor
FLUID FLOW IS A CONSERVED QUANTITY (energy cannot be created or destroyed, only transformed between pressure, motion, and height).
Practice
Quiz
Bernoulli's theorem is most accurately described as a statement of: