The Bernoulli effect shows that if you reduce the cross-section of a water pipe, the flow rate of the water increases.

Bernoulli's equation is important to us all because it describes how and why liquids flow.

The equation is named after the Swiss mathematician Daniel Bernoulli, who first published it in 1738 together with his brother Johann. It is used to describe fluids in motion - regardless of whether they are moving through pipes or being pushed around by fans. The air flow over the wing of an airplane? That's Bernoulli's law in action!

The equation states that for a non-viscous fluid (i.e. a fluid without viscosity) in uniform, laminar flow (i.e. flow without turbulence), there is an increase in pressure along the direction of flow and a decrease in pressure perpendicular to the direction of flow. This means that every time a liquid moves through a pipe or across your face as you swim, there will be an increase in pressure near the entry point (because it is being pushed) and a decrease in pressure near the exit point (because it is accelerating).

Bernoulli's equation is used to describe the movement of a fluid in a flowing system. It can be used to predict how fast a fluid will move and what effects will occur on the fluid as it moves.

The equation is named after Daniel Bernoulli, who first described it in 1738. The equation can be used in many areas, including aerodynamics and hydrodynamics.

In the 17th century, Daniel Bernoulli (the "father of fluid mechanics") developed many of the equations that we use today to explain fluid mechanics. He did this by applying physical laws that were not yet known, but which could be derived from his work.

One of these laws is the general Bernoulli equation. It applies to any liquid flowing through a pipe or channel with fixed ends and describes how much pressure is exerted on these ends by the flow of the liquid through the pipe.

Bernoulli did not come up with this equation himself, but used earlier work by other scientists such as Torricelli and Huygens to expand his own understanding of fluid dynamics.

In 1738, Daniel Bernoulli published his Hydrodynamica, in which he combined the results of Torricelli and Huygens on a small flow element. This enabled him to determine the pressure of flowing liquids on walls and to demonstrate the role of the loss of kinetic energy, which he called vis viva, in sudden changes in the flow cross-section.

In 1742, Bernoulli's father Johann I. Bernoulli dated his son's work to the year 1732. The transient form of Bernoulli's equation appeared in 1742 in a work by Bernoulli's father Johann I. Bernoulli, who thus preceded his son's work of 1732.

In 1797, Giovanni Battista Venturi published his discovery that the flow velocity of a fluid through a pipe is inversely proportional to a change in pipe cross-section. Venturi was also able to prove experimentally that the static pressure at the narrowed sections is lower than at the wider sections (see figure below).

Bernoulli and Venturi considered a quasi one-dimensional flow with plane cross-sections, which today is not referred to as hydrodynamics but as hydraulics.

The Bernoulli effect is the phenomenon that explains why the blades of a fan move together when you blow on them. It is also known as the hydrodynamic paradox because it looks as if the air is pushing objects apart instead of compressing them.

The Bernoulli effect occurs when you blow into the space between two sheets of paper. The air pressure from above pushes on the air in front of you so that there is less pressure in your air stream than behind it - and this causes the sheets to contract.

This effect also explains why water flows through a hose that is held vertically against a wall under water. The water is pulled towards the wall by the lower pressure under its weight, so that it moves towards this area instead of away from it!