BERNOULLI’S THEOREM:
BERNOULLI’S THEOREM:
Assumptions made in Bernoulli’s equation:
(i). The fluid is ideal, i.e., Viscosity is zero.
(ii). The flow is steady
(iii). The flow is incompressible.
(iv). The flow is irrotational.
BERNOULLI’S THEOREM:
Bernoulli’s theorem is the form of the principle of conservation of energy.
Statement of Bernoulli’s Theorem:
It states that in a steady, ideal flow of an incompressible fluid, the total energy at any point of the fluid is constant. The total energy consists of pressure energy, kinetic energy and potential energy or datum energy. These energies per unit weight of
the fluid are:
Pressure Energy per unit weight of fluid or pressure head = p/ῥ g
Kinetic energy per unit weight or Kinetic head = v2 / 2g
Potential energy per unit weight or Potential head = z
Mathematically, Bernoulli's theorem is written as,
(p1/ w) + (v12 / 2g) + z1 = (p2/ w) + (v22 / 2g) + z2
Note :- (p one / w)+ (V one square/2g)+Z one = (p two / w)+(V two square/2g)+Z
Energy possess by a fluid body:
The fluid body possess the following types of energies:-
i) Pressure Energy
ii) Kinetic energy
iii) Potential Energy (Datum Energy)
i) Pressure Energy:
Energy possess by a fluid body by virtue of pressure at which it is
maintained.
ii) Kinetic energy:
Energy possess by a fluid body by virtue of its motion.
iii) Potential Energy (Datum Energy):
Energy possess by a fluid body by virtue of its position or location.
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