Page tree

Versions Compared

Key

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

The most general Pump model is given as (see Fig. 1):

In many practical cases it simplifies (see Fig. 1) to
LaTeX Math Block
anchorpump
alignmentleft
p_{\rm out}= F(q, p_{\rm in}) 
Show If
groupeditors
Panel
bgColor#FFDFDD
Expand
titleEditor


In most practical cases it has a linear dependance on incharge pressure 

LaTeX Math Inline
body--uriencoded--p_%7B\rm in%7D

808YK
LaTeX Math Block
anchor
KD0ZN
alignmentleft
p_{\rm out}=p_{\rm in} + ( p_{\rm max} - p_{\rm in}) \cdot F(q/q_{\rm max}) 

where 

LaTeX Math Inline
bodyF(x =0) = 0
 and 
LaTeX Math Inline
bodyF(x =1) = 1
.


The pump characteristic curve 

LaTeX Math Inline
bodyF(x)
 can be usually approximated by

...

the following equation:

VEVP9
LaTeX Math Block
anchor
RPGDY
alignmentleft
F(x)= 1 - (1- x^m)^n
, \, m > n

and usually 

LaTeX Math Inline
bodyn=0.5
 and 
LaTeX Math Inline
bodym=1
:
LaTeX Math Inline
body--uriencoded--F(x)= 1- \sqrt%7B1- x%7D
.


Fig. 1. Pump Characteristic Curve

...