What is the constant in Bernouli's equation

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SUMMARY

Bernoulli's equation states that the sum of pressure, kinetic energy per unit volume, and potential energy per unit volume remains constant along a streamline. The equation can be expressed as P + 0.5(density)v^2 + density*g*y = constant. In practical applications, the constant represents the total mechanical energy at any two points along the streamline, allowing for the calculation of unknown variables when certain parameters are known. Understanding this relationship is crucial for solving fluid dynamics problems effectively.

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imatreyu
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Yeah. I'm just really confused.
I don't understand Bernouli's equation at all.

My textbook (by Serway and Faughn) says: "Bernouli's equations says that the sum of the pressure, the kinetic energy per unit volume, and potential energy per unit volume has the same value t all points along a streamline."

So if I want to solve for y (for example)
and I know P, density, v, and g. . .
How do I solve:

P + .5(density)v^2+density*g*y=constant

does "constant" have a value?
This would really help me do a homework problem.

Thank you guys!
:)
 
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That just means that the sum at state 1 is the sum at state 2

i.e.

P1 + .5ρv12+ρgy1=P2 + .5ρv22+ρgy2
 
Thank you!
That really cleared it up for me.
 

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