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Principle relating to fluid dynamics
Bernoulli's principle is a concept in fluid dynamics that relates pressure, speed and height. For example, for a fluid flowing horizontally, Bernoulli's
Bernoulli's_principle
Swiss mathematician and physicist (1700–1782)
Niklaus and Johann II. Daniel Bernoulli was described by W. W. Rouse Ball as "by far the ablest of the younger Bernoullis". He is said to have had a bad
Daniel_Bernoulli
Swiss patrician family
Bernoulli differential equation Bernoulli distribution Bernoulli number Bernoulli polynomials Bernoulli process Bernoulli trial Bernoulli's principle
Bernoulli_family
Removable floppy disk storage system
The Bernoulli Box (or simply Bernoulli, named after Bernoulli's principle) is a high-capacity (at the time of release) removable disk storage system that
Bernoulli_Box
than Bernoulli's principle. ... An explanation based on Bernoulli's principle is not applicable to this situation, because this principle has nothing to
List of common misconceptions about science, technology, and mathematics
List_of_common_misconceptions_about_science,_technology,_and_mathematics
Buoyancy principle in fluid dynamics
Archimedes' principle states that the upward buoyant force that is exerted on a body immersed in a fluid, whether fully or partially, is equal to the
Archimedes'_principle
Principle in fluid mechanics
Pascal's law (also Pascal's principle or the principle of transmission of fluid-pressure) is a principle in fluid mechanics that states that a pressure
Pascal's_law
Reduced pressure caused by a flow restriction in a tube or pipe
principle of mass continuity, while its static pressure must decrease in accord with the principle of conservation of mechanical energy (Bernoulli's principle)
Venturi_effect
Topics referred to by the same term
principle Jacob Bernoulli (1654–1705), also known as Jacques, after whom Bernoulli numbers are named Jacob II Bernoulli (1759–1789) Johann Bernoulli (1667–1748)
Bernoulli
and Probability Bernoulli trial Bernoulli's principle Bernoulli's triangle Rue Bernoulli (Bernoulli Road) in Paris 8 - Rue Bernoulli in Paris 8 was named
List of things named after the Bernoulli family
List_of_things_named_after_the_Bernoulli_family
Force perpendicular to flow of surrounding fluid
basic approaches, based either on Newton's laws of motion or on Bernoulli's principle. An airfoil generates lift by exerting a downward force on the air
Lift_(force)
Hydrodynamic and hydrostatic effects on marine organisms
potential energy. One result of Bernoulli's principle is that slower moving current has higher pressure. This principle is used, for example, by some benthic
Oceanic physical-biological process
Oceanic_physical-biological_process
Equation in fluid dynamics
total head reduces due to the losses. This is in contrast with Bernoulli's principle for dissipationless flow (without irreversible losses), where the
Borda–Carnot_equation
Component of internal combustion engines which mixes air and fuel in a controlled ratio
adding fuel to the intake air is through the Venturi effect or Bernoulli's principle or with a pitot tube in the main metering circuit, though various
Carburetor
1738 book on fluid mechanics by Daniel Bernoulli
loss of vis viva in fluid flow, which would later be known as the Bernoulli principle. The book also discusses hydraulic machines and introduces the notion
Hydrodynamica
Tendency of the stern of a ship making way to swing toward the near bank
of a fluid jet to stay attached to a surface of any form Bernoulli's principle – Principle relating to fluid dynamics Continuity equation – Equation
Bank_effect
Deflection of a spinning object moving through a fluid
side of the object and decreases the velocity on the other side. Bernoulli's principle states that under certain conditions increased flow speed is associated
Magnus_effect
Effect in physics
popular explanation given for the shower-curtain effect is Bernoulli's principle. Bernoulli's principle states that an increase in velocity results in a decrease
Shower-curtain_effect
Darrigol (2005). Worlds of Flow: A History of Hydrodynamics from the Bernoullis to Prandtl (Oxford University Press). ISBN 0-19-856843-6 P. A. Davidson
History_of_fluid_mechanics
Characteristic of rotors/propellers
predicted by lifting-line theory. To compute the disk loading using Bernoulli's principle, we assume the pressure in the slipstream far downstream is equal
Disk_loading
Branch of physics
Physics portal Transport phenomena Aerodynamics Applied mechanics Bernoulli's principle Communicating vessels Computational fluid dynamics Compressor map
Fluid_mechanics
Upward force that opposes the weight of an object immersed in fluid
proportional to the pressure difference, and (as explained by Archimedes' principle) is equivalent to the weight of the fluid that would otherwise occupy
Buoyancy
Law of physics and chemistry
vis viva conservation principle. Daniel's study of loss of vis viva of flowing water led him to formulate Bernoulli's principle, which asserts the loss
Conservation_of_energy
Relatively minor flow superimposed on the primary flow by inviscid assumptions
expected, given the barometric pressure at mid altitudes, due to Bernoulli's principle. Hence, the secondary flow toward the center of a region of low
Secondary_flow
Air moving arrangement
can adjust the velocity and pressure of the airflow according to Bernoulli's principle. Drawbacks include increased weight due to the added structure of
Ducted_fan
Scientific law that a closed system's mass remains constant
In physics and chemistry, the law of conservation of mass or principle of mass conservation states that for any system which is closed to all incoming
Conservation_of_mass
pipe. The volumetric flow is calculated from that difference using Bernoulli's principle, taking into account the pipe's inside diameter. An Annubar, as
Annubar
Equation in fluid dynamics
turbulent flow. The friction factor variation is well documented. Bernoulli's principle Euler number Friction loss Hazen–Williams equation Hagen–Poiseuille
Darcy–Weisbach_equation
Property of substances whose particles stick together
mechanics Fluid mechanics Fluids Statics · Dynamics Archimedes' principle · Bernoulli's principle Navier–Stokes equations Poiseuille equation · Pascal's law
Cohesion_(chemistry)
Hydrodynamica, Daniel Bernoulli described a fundamental relationship between pressure, velocity, and density, now termed Bernoulli's principle, which provides
History_of_aerodynamics
Ability of a liquid to flow in narrow spaces
barometers. Others soon followed Boyle's lead. Some (e.g., Honoré Fabri, Jacob Bernoulli) thought that liquids rose in capillaries because air could not enter
Capillary_action
Set of laboratory techniques for separation of mixtures
observing distance in gel (separation of was a separate step). The basic principle of displacement chromatography is: A molecule with a high affinity for
Chromatography
Branch of fluid mechanics that studies fluids at rest
and fountains. Archimedes is credited with the discovery of Archimedes' Principle, which relates the buoyancy force on an object that is submerged in a
Hydrostatics
Fundamental principle of physics
The superposition principle, also known as superposition property, states that, for all linear systems, the net response caused by two or more stimuli
Superposition_principle
Strain caused by an external load
quite accurately when some simplifying assumptions are used. In the Euler–Bernoulli theory of slender beams, a major assumption is that 'plane sections remain
Bending
Streamlined body for generating lift
difference is accompanied by a velocity difference, as explained by Bernoulli's principle, so the resulting flowfield about the airfoil has a higher average
Airfoil
Type of fluid
mechanics Fluid mechanics Fluids Statics · Dynamics Archimedes' principle · Bernoulli's principle Navier–Stokes equations Poiseuille equation · Pascal's law
Newtonian_fluid
Type of fluid
mechanics Fluid mechanics Fluids Statics · Dynamics Archimedes' principle · Bernoulli's principle Navier–Stokes equations Poiseuille equation · Pascal's law
Non-Newtonian_fluid
Thermodynamic device
containing fluids flowing at low velocity can usually be analyzed using Bernoulli's principle. Analyzing ducts flowing at higher velocities with Mach numbers
Diffuser_(thermodynamics)
Method for load calculation in construction
Euler–Bernoulli equation using techniques such as "direct integration", "Macaulay's method", "moment area method", "conjugate beam method", "the principle of
Euler–Bernoulli_beam_theory
State of matter
force points downward and the object sinks. This is known as Archimedes' principle. Unless the volume of a liquid exactly matches the volume of its container
Liquid
Ratio in aeronautics
speeds. At speeds approaching the speed of sound, the effects of Bernoulli's principle over curves on the wing and fuselage can accelerate the local flow
Thickness-to-chord_ratio
Semi-autonomous, convulsive expulsion of air from the lungs through the nose and mouth
the mouth, creating a venturi (similar to a carburetor) due to Bernoulli's principle so that air ejected from the lungs is accelerated through the mouth
Sneeze
Relation between gas pressure and volume
is needed, which was developed over the next two centuries by Daniel Bernoulli (1738) and more fully by Rudolf Clausius (1857), Maxwell and Boltzmann
Boyle's_law
Liquid, gas, or other continuously deforming and flowing material
mechanics Fluid mechanics Fluids Statics · Dynamics Archimedes' principle · Bernoulli's principle Navier–Stokes equations Poiseuille equation · Pascal's law
Fluid
Force needed to pull a spring grows linearly with distance
1678 work that he was aware of the law since 1660. It is the fundamental principle behind the spring scale, the manometer, the galvanometer, and the balance
Hooke's_law
Device that transmits rotational power into linear thrust on a fluid
a pressure difference between the two surfaces of the blade by Bernoulli's principle which exerts force on the fluid. Most marine propellers are fixed
Propeller
List of second-generation mathematicians Langevin family Curie family Bernoulli family Herschel family Rydén, Jenny (2025-03-18). "Family matters: Meet
List of second-generation physicists
List_of_second-generation_physicists
Line integral of the fluid velocity around a closed curve
mechanics Fluid mechanics Fluids Statics · Dynamics Archimedes' principle · Bernoulli's principle Navier–Stokes equations Poiseuille equation · Pascal's law
Circulation_(physics)
Medical device
to the venturi effect or Bernoulli's principle. However, a fixed performance oxygen delivery system works on the principle of jet mixing. Where the flow
Venturi_mask
Statement based on repeated empirical observations that describes some natural phenomenon
weak gravitational fields; the early laws of aerodynamics, such as Bernoulli's principle, do not apply in the case of compressible flow such as occurs in
Scientific_law
mechanics Fluid mechanics Fluids Statics · Dynamics Archimedes' principle · Bernoulli's principle Navier–Stokes equations Poiseuille equation · Pascal's law
List of equations in fluid mechanics
List_of_equations_in_fluid_mechanics
Physical property when materials or objects return to original shape after deformation
mechanics Fluid mechanics Fluids Statics · Dynamics Archimedes' principle · Bernoulli's principle Navier–Stokes equations Poiseuille equation · Pascal's law
Elasticity_(physics)
Theorem in fluid mechanics
particular case of Bernoulli's principle. Under the assumption of an incompressible fluid with negligible viscosity, Bernoulli's principle states that the
Torricelli's_law
State of matter
uses of plasma, there are several means for its generation. However, one principle is common to all of them: there must be energy input to produce and sustain
Plasma_(physics)
Concept in fluid dynamics
mechanics Fluid mechanics Fluids Statics · Dynamics Archimedes' principle · Bernoulli's principle Navier–Stokes equations Poiseuille equation · Pascal's law
No-slip_condition
Tendency of a liquid surface to shrink to reduce surface area
mechanics Fluid mechanics Fluids Statics · Dynamics Archimedes' principle · Bernoulli's principle Navier–Stokes equations Poiseuille equation · Pascal's law
Surface_tension
Aerodynamic principle
in a net downward force. The same principles apply to cars. The Bernoulli principle is not the only aspect of mechanics in generating ground-effect downforce
Ground_effect_(cars)
In fluid mechanics, the height of a liquid column
fluid, but it can be measured as a pressure head because of the Bernoulli principle. If, on the other hand, we could measure the velocity of the fluid
Pressure_head
Relationship between volume and temperature of a gas at constant pressure
degrees of the air-thermometer below zero; since if we push the strict principle of graduation, stated above, sufficiently far, we should arrive at a point
Charles's_law
Process of a gas escaping through a small hole
mechanics Fluid mechanics Fluids Statics · Dynamics Archimedes' principle · Bernoulli's principle Navier–Stokes equations Poiseuille equation · Pascal's law
Effusion
Relative deformation of a physical body
mechanics Fluid mechanics Fluids Statics · Dynamics Archimedes' principle · Bernoulli's principle Navier–Stokes equations Poiseuille equation · Pascal's law
Strain_(mechanics)
Failure Theory in continuum mechanics
mechanics Fluid mechanics Fluids Statics · Dynamics Archimedes' principle · Bernoulli's principle Navier–Stokes equations Poiseuille equation · Pascal's law
Von_Mises_yield_criterion
Branch of mechanics concerned with solid materials and their behaviors
Newton's laws of motion 1750: Euler–Bernoulli beam equation 1700–1782: Daniel Bernoulli introduced the principle of virtual work 1707–1783: Leonhard Euler
Solid_mechanics
Type of ejector-jet pump
fluid leaving the jet is flowing at a high velocity which due to Bernoulli's principle results in it having low pressure, thus generating a vacuum. The
Vacuum_ejector
Resistance of a fluid to shear deformation
using separate means. A potential issue is that viscosity depends, in principle, on the full microscopic state of the fluid, which encompasses the positions
Viscosity
Equation describing the evolution of the vorticity of a fluid particle as it flows
chemically-homogenous fluid, the density can vary when the pressure changes, e.g. with Bernoulli. For inviscid fluids, the viscosity tensor τ is zero. Thus for an inviscid
Vorticity_equation
State of matter
mechanics Fluid mechanics Fluids Statics · Dynamics Archimedes' principle · Bernoulli's principle Navier–Stokes equations Poiseuille equation · Pascal's law
Solid
mechanics Fluid mechanics Fluids Statics · Dynamics Archimedes' principle · Bernoulli's principle Navier–Stokes equations Poiseuille equation · Pascal's law
Burnett_equations
Relationship between pressure and temperature of a gas at constant volume
mechanics Fluid mechanics Fluids Statics · Dynamics Archimedes' principle · Bernoulli's principle Navier–Stokes equations Poiseuille equation · Pascal's law
Gay-Lussac's_law
Force distributed over an area
group at Sichuan University. The framework is inspired by the equivalence principle in Einstein's theory of general relativity and aims to unify different
Pressure
Type of chemical suspension
W. B.; LEE S. J.; KIM Y. J.; LEE E. S. (2003). "The electromechanical principle of electrorheological fluid-assisted polishing". International Journal
Electrorheological_fluid
Study of propagation of cracks in materials
mechanics Fluid mechanics Fluids Statics · Dynamics Archimedes' principle · Bernoulli's principle Navier–Stokes equations Poiseuille equation · Pascal's law
Fracture_mechanics
Property of a rotating ball
upwards. As a reaction to this, the ball is pushed downwards. Often Bernoulli's principle is used to explain the topspin effect, as the difference in speed
Topspin
2024-07-25 [Anon.] (2001) "Daniel Bernoulli", Encyclopædia Britannica Rouse Ball, W. W. (2003) [1908]. "The Bernoullis". A Short Account of the History
List of Swiss inventions and discoveries
List_of_Swiss_inventions_and_discoveries
mechanics Fluid mechanics Fluids Statics · Dynamics Archimedes' principle · Bernoulli's principle Navier–Stokes equations Poiseuille equation · Pascal's law
First law of thermodynamics (fluid mechanics)
First_law_of_thermodynamics_(fluid_mechanics)
Form of rotation of a ball in various sports
Spin (table tennis), effects of spin Groundstroke Magnus effect Bernoulli's principle The Physics of Sports by Angelo Armenti Tennis Science: How Player
Backspin
Sub-class of turbomachinery
pressure and temperature in order to control compressor performance. Bernoulli's principle plays an important role in understanding vaneless stationary components
Centrifugal_compressor
Scientific principles enabling the use of the calculus of variations
technique, albeit as a special-case rather than a general principle, was James Bernoulli's solution of the brachistochrone problem in 1718. Pierre Louis
Variational_principle
Perpendicular-axis marine propulsion system
wing to provide lift and, sometimes, also propulsion and control. In principle, the cyclogyro is capable of vertical take off and landing and hovering
Cyclorotor
Water conservation device
and the low pressure in front of it (outside the faucet), due to Bernoulli's principle there is an increase in velocity of the fluid flow. Aeration occurs
Faucet_aerator
skills 'rub off' on their children". Retrieved 2025-04-09. "The Bountiful Bernoullis of Basel". 6 October 2020. Retrieved 2025-04-09. "4 Father-Son Nobel Prize
List of second-generation mathematicians
List_of_second-generation_mathematicians
Equations of motion for viscous fluids
systems. A special case of the fundamental equation of hydraulics is the Bernoulli's equation. The incompressible Navier–Stokes equation is composite, the
Navier–Stokes_equations
Law describing the pressure drop in an incompressible and Newtonian fluid
result in unphysically high flow rates; the flow is bounded by Bernoulli's principle, under less restrictive conditions, by Δ p = 1 2 ρ v ¯ max 2 = 1
Hagen–Poiseuille_equation
Physical quantity that expresses internal forces in a continuous material
times D from both ends. (This observation is known as the Saint-Venant's principle). Normal stress occurs in many other situations besides axial tension
Stress_(mechanics)
Type of safety glass processed to increase its strength
engineered for wind loads on the site, can be broken by the wind. See Bernoulli's principle on wind. Any breakage problem has more severe consequences where
Tempered_glass
Concept in contact mechanics
mechanics Fluid mechanics Fluids Statics · Dynamics Archimedes' principle · Bernoulli's principle Navier–Stokes equations Poiseuille equation · Pascal's law
Bearing_pressure
Scientific instrument used to measure fluid flow (rheology)
meanings are obsolete. (Principal Source: Oxford English Dictionary) The principle and working of rheometers is described in several texts. Four basic shearing
Rheometer
Rational number sequence
interpretation of the Bernoulli numbers as an instance of a fundamental combinatorial principle, the inclusion–exclusion principle. The definition to proceed
Bernoulli_number
Thermodynamic law expression
mechanics Fluid mechanics Fluids Statics · Dynamics Archimedes' principle · Bernoulli's principle Navier–Stokes equations Poiseuille equation · Pascal's law
Clausius–Duhem_inequality
Branch of physics which studies the behavior of materials modeled as continuous media
Biomedical engineering Chemical engineering Transport phenomena Bernoulli's principle Cauchy elastic material Configurational mechanics Curvilinear coordinates
Continuum_mechanics
Device at the end of a robot arm
force brings the gripper and part close each other (using Bernoulli's principle). Bernoulli grippers are a type of contactless grippers; the object remains
Robot_end_effector
Averages of repeated trials converge to the expected value
known as "Bernoulli's theorem". This should not be confused with Bernoulli's principle, named after Jacob Bernoulli's nephew Daniel Bernoulli. In 1837
Law_of_large_numbers
1999 film by Barry Sonnenfeld
destroys a town to force Grant to surrender. Gordon, describing Bernoulli's principle, uses his flying bicycle to transport him and West to the spider
Wild_Wild_West
Conservable measure of the wave part of a motion
mechanics Fluid mechanics Fluids Statics · Dynamics Archimedes' principle · Bernoulli's principle Navier–Stokes equations Poiseuille equation · Pascal's law
Wave action (continuum mechanics)
Wave_action_(continuum_mechanics)
Study of the deformation of solids that touch each other
surface instead, over the range a < x < b {\displaystyle a<x<b} . The principle of linear superposition can be applied to determine the resulting stress
Contact_mechanics
Formulation of the principle of stationary action
In physics, Hamilton's principle is William Rowan Hamilton's formulation of the principle of stationary action. It states that the dynamics of a physical
Hamilton's_principle
Statement in classical mechanics
D'Alembert's principle, also known as the Lagrange–d'Alembert principle, is a statement of the fundamental classical laws of motion. It is named after
D'Alembert's_principle
Fluid flow revolving around an axis of rotation
axis, and increases as one moves away from it, in accordance with Bernoulli's principle. One can say that it is the gradient of this pressure that forces
Vortex
Handheld device used to generate a flame
the flame. The gas jet in butane lighters mixes air and gas using Bernoulli's principle, requiring air holes that are much smaller and further from the
Lighter
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BERNOULLIS PRINCIPLE
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