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48.0 | In principle, any duct cross section can be solved analytically for the laminar-flow velocity distribution, volume flow, and friction factor. This is because any cross section
can be mapped onto a circle by the methods of complex variables, and other powerful
analytical techniques are also available. Many examples are given by White [3, pp.
119 – 122], Berker , and Olson and Wright [12, pp. 315 – 317]. Reference 34 is devoted entirely to laminar duct flow.
In general, however, most unusual duct sections have strictly academic and not commercial value. We list here only the rectangular and isosceles-triangular sections, in
Table 6.4, leaving other cross sections for you to find in the references.
For turbulent flow in a duct of unusual cross section, one should replace d by Dh
on the Moody chart if no laminar theory is available. If laminar results are known,
such as Table 6.4, replace d by Deff [64/(f Re)]...
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This note was uploaded on 10/27/2009 for the course MAE 101a taught by Professor Sakar during the Spring '08 term at UCSD.
- Spring '08