Dynamic Scaling-The Alaskan Pipeline

There are myriad correlations between dimensionless groups. We will examine a few more examples in this chapter. Again, it is not necessary to memorize each correlation. Rather, it is important to know how to apply the principles of dynamic similarity to create new design tools. 

Assume that pumps are stationed every 1,000 m and the desired flow is 4 x 10 barrels/day. What pressure must each pump deliver  

It would be impractical to build a full-scale system to measure the pressure drop the 

The first parameter is what we seek, the pressure drop of the fluid. We construct Table 5.8a. 

we turn to the physical parameters of the pipe. One might expect the pipe diameter to be important it is harder to force fluid through a small pipe than a large pipe. Similarly, for a given diameter of pipe, a fluid flows faster through a short pipe than a long pipe. We add pipe diameter and pipe length to the table. 

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