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Fanno Flow
The most important model in compressible flow was suggested
by Gino Fanno in his Master's thesis (1904).
The model bears his name.
Yet, according to Dr. Rudolf Mumenthaler from UTH University,
no copy of the thesis can be found in the original University
and perhaps only in the personal
custody of the Fanno family
1.41.
Fanno attributes the main pressure reduction to friction.
Thus, flow that is dominantly adiabatic could be simplified and
analyzed.
The friction factor
is the main component
in the analysis
as Darcy
1.42 had already proposed
in 1845.
The arrival of the Moody diagram,
which built on Hunter Rouse's (194x) work made Darcy-Weisbach's
equation universally useful.
Without the existence of the friction factor data, the Fanno model
wasn't able to produce a prediction useful for the industry.
Additionally an understating of the supersonic branch of the flow
was unknown (The idea of shock in tube was not raised at that time.).
Shapiro organized all the material in a coherent way
and made this model useful.
Meta
Did Fanno realize that the flow is choked?
It appears at least in Stodola's book that choking was
understood in 1927 and even earlier.
The choking was assumed only to be in the subsonic flow.
But because the actual Fanno's thesis is not available,
the question cannot be answered yet.
When was Gas Dynamics (compressible flow) as a separate class started?
Did the explanation for the combination of diverging-converging nuzzle
with tube for Fanno flow first appeared in Shapiro's book?
End Meta
Next: Isothermal Flow
Up: Choking Flow
Previous: Rayleigh Flow
Index
Created by:Genick Bar-Meir, Ph.D.
On:
2007-11-21
