Understanding Bernoulli's Principle

The relationship between the velocity and pressure exerted by a moving liquid is described by the Bernoulli's principle: as the velocity of a fluid increases, the pressure exerted by that fluid decreases.

Airplanes get a part of their lift by taking advantage of Bernoulli's principle. Race cars employ Bernoulli's principle to keep their rear wheels on the ground while traveling at high speeds.

The Continuity Equation relates the speed of a fluid moving through a pipe to the cross sectional area of the pipe. It says that as a radius of the pipe decreases the speed of fluid flow must increase and visa-versa. This interactive tool lets you explore this principle of fluids. You can change the diameter of the red section of the pipe by dragging the top red edge up or down.



Brownian motion - it is heat motion of smallest particles, weighted in liquid or gas. It was discovered by English botanist Brown (1827) and appeared as a proof of chaotic molecular motion. Brownian particles move under the influence of collisions of molecules. Because of chaotic heat motion of molecules these collisions never equalize each other. As a result the velocity of a Brownian particle constantly changes in size and direction, and its trajectory represents a complicated zigzag. Molecular-kinetic theory of Brownian motion was developed by A. Einstein (1905).

The main point of the theory is that square of displacement r2 of Brownian particle from initial position, averaged by many Brownian particles, changes proportionally to time (diffusion law): r2 = D * T. Coefficient of diffusion D is proportional to the absolute temperature T. Einstein's theory was experimentally proven in experiments of French physicist G. Perrene (1908).

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