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单词 Bernoulli theorem
释义
Bernoulli theorem

Physics
  • At any point in a pipe through which a fluid is flowing the sum of the pressure energy, the kinetic energy, and the potential energy of a given mass of the fluid is constant. This is equivalent to a statement of the law of the conservation of energy. The law was published in 1738 by Daniel Bernoulli.


Chemical Engineering
  • A theorem in which the sum of the pressure-volume, potential, and kinetic energies of an incompressible and non-viscous fluid flowing in a pipe with steady flow with no work or heat transfer is the same anywhere within a system. When expressed in head form, the total head is the sum of the pressure, velocity, and static head. It is applicable only for incompressible and non-viscous fluids. That is:

    p1ρg+v122g+z1=p2ρg+v222g+z2

    where p is pressure, ρ is density, g is gravitational acceleration, v is velocity, and z is elevation. It is effectively a statement of the law of the conservation of energy. It was formulated and published in 1738 by Daniel Bernoulli (1700–82).


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