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In: Mechanical Engineering

(Fluid Mechanics; Euler's equation and Bernoulli equation) As I know, in order to derive Euler's equation...

(Fluid Mechanics; Euler's equation and Bernoulli equation)

As I know, in order to derive Euler's equation from Naveri-Stokes equation, the additional conditions are 1)Incompressible and 2)Inviscid

Then, in order to derive Bernoulli's equation from Euler's equation, what additional conditions are needed?

As I thought, Euler's equation already meets the incompressible and invsicid condtion, so only "steady state" is the additional condition to derive Bernoulli equation from Euler's equation.

Am I right? In addition, are both Navier-stokes equation and Euler's equation need not to be steady state?

In addition, would you derive Bernoulli equation from Euler's equation?

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