Bernoulli's
Fluid dynamics principle
Bernoulli's appears as a possessive modifier referring to contributions from the Bernoulli family, a Swiss dynasty of mathematicians and scientists.
Most commonly it precedes principle or equation in physics contexts: Bernoulli's principle explains how airplane wings generate lift.
The principle describes the relationship between fluid speed and pressure—as velocity increases, pressure decreases.
In statistics, a Bernoulli trial is an experiment with exactly two possible outcomes, like a coin flip.
Mechanism for vertical transport
- airflowMovement of atmosphere
- pressureForce upon contact
- fluid dynamicsScience of flowing matter
- velocityDirected rate of motion
aviation · wing · aerodynamics · venturi · streamline · airplane · thrust · drag
Quantified chance of occurrence
- binomialExpression with two terms
- independentFree from external control
- successFavorable outcome attained
- failureLack of success
coin flip · outcomes · statistics · random · distribution · experiments · repeated · stochastic
Unchanging total in closed systems
- fluid mechanicsScience of flow behavior
- elevationHeight above reference point
- hydraulicsStudy of pressurized liquids
- steady flowContinuous, even movement
incompressible · streamline · Euler · continuity · potential energy · kinetic energy · flow rate · nozzle
Ordered succession of elements
- summationAdding to find total
- EulerProlific 18th-century mathematician
- coefficientsNumerical multipliers in expressions
- recursionProcess invoking itself
generating function · tangent · cotangent · polynomial · combinatorics · number theory · Swiss · Basel
lift
Mechanism for vertical transport
- airflowMovement of atmosphere
- pressureForce upon contact
- fluid dynamicsScience of flowing matter
velocity · aviation · wing · aerodynamics · venturi · streamline · airplane · thrust · drag · airfoil
probability
Quantified chance of occurrence
- binomialExpression with two terms
- independentFree from external control
- successFavorable outcome attained
failure · coin flip · outcomes · statistics · random · distribution · experiments · repeated · stochastic · sampling
energy conservation
Unchanging total in closed systems
- fluid mechanicsScience of flow behavior
- elevationHeight above reference point
- hydraulicsStudy of pressurized liquids
steady flow · incompressible · streamline · Euler · continuity · potential energy · kinetic energy · flow rate · nozzle · orifice
sequence
Ordered succession of elements
- summationAdding to find total
- EulerProlific 18th-century mathematician
- coefficientsNumerical multipliers in expressions
recursion · generating function · tangent · cotangent · polynomial · combinatorics · number theory · Swiss · Basel · mathematical constants
- Bernoulli numbersRational sequence in analysis
- Bernoulli's principleVelocity-pressure inverse relationship
- Bernoulli effectFaster fluid means lower pressure