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Next: The Table for Fanno Up: Fanno Flow Previous: The Approximation of the   Index

# More Examples of Fanno Flow

Solution

First calculate the dimensionless resistance, .

From Figure (9.21) for etc.

or accurately utilizing the program as in the following table.

 0.12728 1.0000 40.0000 40.0000 0.0 0.11637 0.12420 0.40790 40.0000 42.1697 2.1697 0.30000 0.11392 0.22697 40.0000 50.7569 10.7569 0.50000 0.07975 0.09965 40.0000 107.42 67.4206 0.80000
<>

Only for the pressure ratio of 0.1 the flow is choked.

 0.12728 0.99677 0.99195 4.5910 0.98874 4.5393 0.12420 0.99692 0.99233 4.7027 0.98928 4.6523 0.11392 0.99741 0.99354 5.1196 0.99097 5.0733 0.07975 0.99873 0.99683 7.2842 0.99556 7.2519
<>

Therefore, and for the same the pressure. Hence, the mass rate is a function of the Mach number. The Mach number is indeed function of the pressure ratio but and therefore mass flow rate is function pressure ratio only through Mach number.

The mass flow rate is

and for the rest

Next: The Table for Fanno Up: Fanno Flow Previous: The Approximation of the   Index
Created by:Genick Bar-Meir, Ph.D.
On: 2007-11-21