Bernoulli’s theorem includes as a special case of:a)Torricelli...
Bernoulli’s Theorem
Bernoulli’s theorem, in fluid dynamics, relation among the pressure, velocity, and elevation in a moving fluid (liquid or gas), the compressibility and viscosity (internal friction) of which are negligible and the flow of which is steady, or laminar. First derived (1738) by the Swiss mathematician Daniel Bernoulli, the theorem states, in effect, that the total mechanical energy of the flowing fluid, comprising the energy associated with fluid pressure, the gravitational potential energy of elevation, and the kinetic energy of fluid motion, remains constant. Bernoulli’s theorem is the principle of energy conservation for ideal fluids in steady, or streamline, flow and is the basis for many engineering applications.
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Bernoulli’s theorem includes as a special case of:a)Torricelli...
Bernoulli is a surname that is associated with several members of a prominent family of Swiss mathematicians, physicists, and scientists. The most well-known member of the family is Daniel Bernoulli (1700-1782), who made significant contributions to the fields of fluid dynamics and probability theory. His work on the principle of conservation of energy in fluid flow, known as Bernoulli's principle, is widely used in engineering and physics. Other notable members of the Bernoulli family include Johann Bernoulli (1667-1748) and Jakob Bernoulli (1654-1705), who also made important contributions to mathematics and probability theory.
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