GLOSSARY

Page tree

Versions Compared

Old Version 44

changes.mady.by.user Arthur Aslanyan (Nafta College)

Saved on

compared with

New Version 45

changes.mady.by.user Arthur Aslanyan (Nafta College)

Saved on

Key

  • This line was added.
  • This line was removed.
  • Formatting was changed.

...

InputsOutputs

Pipeline trajectory

LaTeX Math Inline
body{\bf r} = {\bf r}(l) = \{ x(l), \, y(l), \, z(l) \}

along-pipe distribution of stabilised pressure 

LaTeX Math Inline
bodyp(l)

Pipeline cross-section area 

LaTeX Math Inline
bodyA(l)

along-pipe distribution of stabilised flow rate 

LaTeX Math Inline
bodyq(l)

Fluid density

LaTeX Math Inline
body\rho(T, p)
and fluid viscosity 
LaTeX Math Inline
body\mu(T, p)

along-pipe distribution of stabilised average flow velocity 

LaTeX Math Inline
bodyu(l)
 

Inner pipe wall roughness

LaTeX Math Inline
body\epsilon


Assumptions

...

Stationary fluid flow
Homogenous fluid flow
Isothermal or Quasi-isothermal conditions

Constant cross-section pipe area

LaTeX Math Inline
bodyA(l)
along hole



Equations

...



LaTeX Math Block
anchor9QRCZ
alignmentleft
\bigg( 1 -  \frac{c(p) \, \rho_0^2 \, q_0^2}{A^2}   \bigg )  \frac{dp}{dl} = \rho(p) \, g \, \frac{dz}{dl}  - \frac{\rho_0^2 \, q_0^2 }{2 A^2 d} \frac{f(p)}{\rho(p)}



LaTeX Math Block
anchor1
alignmentleft
u(l) = \frac{\rho_0 \cdot q_0}{\rho(p) \cdot A(l)}



LaTeX Math Block
anchor1
alignmentleft
q(l) = \frac{\rho_0 \cdot q_0}{\rho(p)}


...