bernoulli equation: meaning, definition, pronunciation and examples
C2Technical/Scientific
Quick answer
What does “bernoulli equation” mean?
A fundamental equation in fluid dynamics that describes the conservation of energy along a streamline in an inviscid, incompressible flow, stating that an increase in fluid speed occurs simultaneously with a decrease in pressure or potential energy.
Audio
Pronunciation
Definition
Meaning and Definition
A fundamental equation in fluid dynamics that describes the conservation of energy along a streamline in an inviscid, incompressible flow, stating that an increase in fluid speed occurs simultaneously with a decrease in pressure or potential energy.
The principle that the sum of pressure energy, kinetic energy per unit volume, and potential energy per unit volume is constant along a streamline. It is used in fields like aerodynamics, hydraulics, and engineering to explain phenomena such as lift on an airplane wing or the flow from a spout.
Dialectal Variation
British vs American Usage
Differences
No difference in meaning or concept. Minor orthographic preferences: UK publications may favour 'Bernoulli's equation' with the possessive slightly more often, while US texts frequently use 'the Bernoulli equation'.
Connotations
None beyond its technical meaning. Carries identical academic prestige in both varieties.
Frequency
Identical, extremely low-frequency outside physics, engineering, and applied mathematics contexts.
Grammar
How to Use “bernoulli equation” in a Sentence
The Bernoulli equation [verb: applies/describes/states] that...One can [verb: use/apply] the Bernoulli equation to [purpose: calculate/explain]...According to the Bernoulli equation, [observation].Vocabulary
Collocations
Examples
Examples of “bernoulli equation” in a Sentence
verb
British English
- The engineer bernoullied the flow profile to estimate the pressure drop. (Non-standard, very rare technical slang)
- We need to Bernoulli-correct the data for elevation.
American English
- The analyst Bernoulli'd the numbers to get a quick approximation. (Non-standard, very rare technical slang)
- Let's apply a Bernoulli-type analysis here.
adverb
British English
- The pressure was calculated Bernoulli-ly, ignoring viscosity. (Highly non-standard)
- The fluid behaves almost Bernoulli-like near the centre.
American English
- The system was treated Bernoulli-style for the initial estimate. (Highly non-standard)
- It flows Bernoulli-esque under those conditions.
adjective
British English
- The Bernoulli effect is clearly visible.
- We made a Bernoulli assumption to simplify the model.
American English
- The Bernoulli principle is key to the design.
- This is a classic Bernoulli flow scenario.
Usage
Meaning in Context
Business
Virtually never used. Might appear in highly technical proposals for aerospace or fluid-handling companies.
Academic
Core concept in physics, engineering, and applied mathematics courses and publications.
Everyday
Extremely rare. Might be mentioned in simplified explanations of how planes fly or why a shower curtain billows inwards.
Technical
Primary and frequent use. Essential terminology in fluid mechanics, aerodynamics, hydrology, HVAC design, and related engineering fields.
Vocabulary
Synonyms of “bernoulli equation”
Strong
Neutral
Weak
Vocabulary
Antonyms of “bernoulli equation”
Watch out
Common Mistakes When Using “bernoulli equation”
- Misspelling as 'Bernouli equation' or 'Bernoullis equation'.
- Using it for flows where its assumptions (inviscid, incompressible, steady) are grossly violated.
- Confusing it with the Bernoulli differential equation (a different mathematical concept).
FAQ
Frequently Asked Questions
No. It holds only for inviscid (zero viscosity), incompressible, steady flow along a streamline. Real fluids with viscosity require more complex equations like Navier-Stokes.
It is named after Daniel Bernoulli, a Swiss mathematician and physicist, who published the principle in his book 'Hydrodynamica' in 1738.
A shower curtain billowing inward when the shower is turned on. Fast-moving water and air inside the shower create a region of lower pressure, causing the higher-pressure air outside to push the curtain inwards.
Yes, but with caution. For gases at low speeds (Mach number < 0.3), they can often be treated as incompressible, making the equation approximately valid. For high-speed gas flows, the compressible form of the Bernoulli equation must be used.
A fundamental equation in fluid dynamics that describes the conservation of energy along a streamline in an inviscid, incompressible flow, stating that an increase in fluid speed occurs simultaneously with a decrease in pressure or potential energy.
Bernoulli equation is usually technical/scientific in register.
Bernoulli equation: in British English it is pronounced /bəːˈnuːli ɪˈkweɪʒ(ə)n/, and in American English it is pronounced /bərˈnuːli ɪˈkweɪʒən/. Tap the audio buttons above to hear it.
Phrases
Idioms & Phrases
- “It's not rocket science, but it does involve the Bernoulli equation.”
- “Applying the Bernoulli equation here is like using a sledgehammer to crack a nut (for an overly complex application).”
Learning
Memory Aids
Mnemonic
Bernoulli's flow makes pressures LOW where the fast winds GO.
Conceptual Metaphor
A RACETRACK for energy: The total 'energy budget' (pressure + speed + height) stays the same, but it can be distributed differently between 'accounts' along the track.
Practice
Quiz
The Bernoulli equation is most directly concerned with the conservation of what?