In: Mechanical Engineering
(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?