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Steady-State flowIsothermal

LaTeX Math Inline
body--uriencoded--\displaystyle \frac%7B\partial p%7D%7B\partial t%7D = 0 \rightarrow p(t,l) = p(l)

LaTeX Math Inline
bodyT(t, l)=T_0 = \rm const

Homogenous flow

Constant cross-section pipe area

LaTeX Math Inline
bodyA
along hole

LaTeX Math Inline
body--uriencoded--\displaystyle \frac%7B\partial p%7D%7B\partial \tau_x%7D =\frac%7B\partial p%7D%7B\partial \tau_y%7D =0 \rightarrow p(t, \tau_x,\tau_y,l) = p(l)

LaTeX Math Inline
bodyA(l) = A = \rm const

Incompressible fluid 

LaTeX Math Inline
body\rho(T, p)=\rho_0 = \rm const
 → 
LaTeX Math Inline
body\mu(T, \rho) =\mu_0 = \rm const

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