Scaleup for Laminar Flow in Cylindrical Tubes

Example 3. Consider the equilibrium laminar flow of the same non-Newtonian fluid in two different cylindrical tubes. Available data are as follows  

Can you calculate AP in the second tube If not, what additional information would be required  

Solution. Application of (16.23) reveals that Fa = Fi (conversion factors cancel out, so you can use the given mongrel units directly). Because x, is a unique function of F, Xw2 = fwi so from (16.5) with dP/dx = AP/L, 

We were able to obtain this solution without additional knowledge only because Fa = Fj. Had this not been the case, we would have needed the actual relation between and F. 

Example 4. Laboratory experiments with a capillary viscometer have established the following empirical relation for a polymer solution at room temperature  

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