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By using Froude criterion, determine the diameter of the
pipe in a model for the study of movement of gas-liquid
3
mixture for the following data: flow rate in well Q н = 180 m /d;
internal tubing diameter d н = 62 mm; flow rate in model Q м =
4 l/min.
Solving:
Converting units into SI:
-3
3
Q н=180 m /d =180/86400=2,083∙10 m/s;
-3
d н=62 mm=62∙10 m;
-5
-3
3
Q м=4 l/min.=4∙10 /60=6,667∙10 m /s.
During the physical modeling it is necessary to execute
following condition:
Fr  Fr ,
n m

2 2
 
Fr  n Fr  m ,
n g d  m g d 
n m
2 2
 
n  m .
g d  g d 
n m
Since:
Q 4Q
   ,
F 2
 d
Then:
2 2
   
 4Q n  1  4Q m  1
     ,
2
  d  d n   d 2  d m
 n   m 

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