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The total energy of flow of fluid is the sum of kinetic energy and potential energies. It can be written in terms of head.

E = velocity head + pressure head + elevation head

Where velocity head is the kinetic energy pressure head and elevation head are the potential energies. In symbol, the formula is

E = v2/2g + p/γ + z

To use the Bernoulli's theorem on fluid flow, consider two points within the path of flow. Label the upstream as 1 and the downstream as 2. Neglecting head lost, the energy at 1 is the same as the energy at 2. Thus,

E1 = E2

or in complete equation

v12/2g + p1/γ + z1 = v22/2g + p2/γ + z2

Considering the lost of energy between the two points, the equation will be

E1 - HL = E2

or

v12/2g + p1/γ + z1 - HL = v22/2g + p2/γ + z2

For more information about the formulas and how to do the calculations, refer to the "Sources and related links:" below.

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13y ago

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