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prabhav sidhaye Grade: 11
        the textbook has completely confused me while giving derivation about bernaullis principle.can i get a simple short and clear explanation?
7 years ago

## Answers : (1)

suryakanth AskiitiansExpert-IITB
105 Points
										Dear Prabhav,
Bernoulli's principle can be derived from the principle of conservation of energy. This states that in a steady flow the sum of all forms of mechanical energy in a fluid along a streamline is the same at all points on that streamline. This requires that the  sum of kinetic energy and potential energy remain constant. If the fluid  is flowing out of a reservoir the sum of all forms of energy is the  same on all streamlines because in a reservoir the energy per unit mass  (the sum of pressure and gravitational potential ρ g h) is the same everywhere.

${v^2 \over 2}+gz+{p\over\rho}=\text{constant}$

where:
$v\,$ is the fluid flow speed at a point on a streamline,$g\,$ is the acceleration due to gravity,$z\,$ is the elevation of the point above a reference plane, with the positive z-direction pointing upward — so in the direction opposite to the gravitational acceleration,$p\,$ is the pressure at the point, and$\rho\,$ is the density of the fluid at all points in the fluid.

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Suryakanth –IITB


7 years ago
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