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State and prove Bernoulli's principle.
Carries 3 Marks
Class 11 CBSE
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Answer:
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The Bernoulli Equation is a different way of the conservation of energy principle, applied to flowing fluids. It relates the pressure, the kinetics energy and the gravitational potential energy of a fluid in a container or flowing in a tube.
Describes the lowering of fluid pressure in regions where the flow velocity is increased. In the high velocity flow through the constriction, kinetic energy must increase at the expense of pressure energy.
Pressure + ½ density * square of the velocity + density * gravity
acceleration* height = constant
The equation is written:
P + ½ ρ v2 +ρ g h = constant
That says the whole formula holds along the system, each term can change but the sum is the same.
Here,
P: Pressure
v: velocity of the fluid
ρ: Density of the fluid
h: height of the container or the pipe here the fluid is flowing