Page tree

Versions Compared

Key

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


Darcy friction factor 

LaTeX Math Inline
bodyf
 for wellbore flow can be written as:

LaTeX Math Block
anchorf
alignmentleft
 {\rm Re}(l) = \frac{u(l) \cdot d}{\nu(l)} = \frac{4 \rho_s q_s}{\pi d} \frac{1}{\mu(T, p)}


The along-hole variation of Darcy friction factor 

LaTeX Math Inline
bodyf
 is due to the influence of pressure 
LaTeX Math Inline
bodyp(l)
 and temperature 
LaTeX Math Inline
bodyT(l)
 variations on the fluid viscosity 
LaTeX Math Inline
body\--uriencoded--\displaystyle %7B\rm Re%7D = \frac%7Bu(l) \cdot d%7D%7B\nu(l)%7D = \frac%7B4 \rho_s q_s%7D%7B\pi d%7D \frac%7B1%7D%7B\mu(T, p)%7D
.

For water flow it is usually not exceeding 10 The along-hole variation of Darcy friction factor 

LaTeX Math Inline
bodyf
 is usually not exceeding 2-3 %  and in many practical applications can be considered as constant along hole
LaTeX Math Inline
body f = f_s = \rm const

...