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				   the textbook has completely confused me while giving derivation about bernaullis principle.can i get a simple short and clear explanation?


6 years ago

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										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.

All the best.
Win exciting  gifts by answering the questions on Discussion  Forum. So help discuss any    query on askiitians forum and become an  Elite Expert League askiitian.

Suryakanth –IITB


6 years ago

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