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## Main Question or Discussion Point

Most liquids can be assumed to be incompressible, since the Mach-number is much smaller than 1. That means that the density variations are negligible and from the relation between pressure p and density ρ,

[tex]

p=c_s^2 \rho

[/tex]

we see that the pressure in constant as well. Now, say that I look at a pipe with the following geometry:

From Bernoulli's equation we get that the pressure and velocity will be different between the large-radius part of the pipe and the small-radius part. How does this varying pressure conform with the constant pressure/density obtained from the equation of state?

[tex]

p=c_s^2 \rho

[/tex]

we see that the pressure in constant as well. Now, say that I look at a pipe with the following geometry:

From Bernoulli's equation we get that the pressure and velocity will be different between the large-radius part of the pipe and the small-radius part. How does this varying pressure conform with the constant pressure/density obtained from the equation of state?