The base driving equations of a pipe flow is:
Steady-state 1D inviscid fluid flow | Pipe Flow Mass Conservation | Equation of State (EOS) | ||||||
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where
l | distance along the fluid flow streamline |
\theta(l) | inclinational deviation, \displaystyle \cos \theta = dz/dl |
z(l) | elevation along the 1D flow trajectory |
T(l) | fluid temperature |
p(l) | fluid pressure |
\rho(l) | fluid density |
{\bf u}(l) | fluid velocity vector |
u(l) = | {\bf u} | | norm of the fluid velocity |
{\bf f}_{\rm cnt}(l) | volumetric density of all contact forces exerted on fluid body |
{f}_{\rm cnt, l}(l) = {\bf e}_u \cdot {\bf f}_{\rm cnt} | |
j_m | fluid mass flux |
\dot m | mass flowrate |
g | standard gravity constant |
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See Also
Petroleum Industry / Upstream / Pipe Flow Simulation / Water Pipe Flow @model / Stationary Isothermal Homogenous Pipe Flow Pressure Profile @model
[ Darcy friction factor ] [ Darcy friction factor @model ]
[ Euler equation ]