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Fanno Flow

**Figure:** `Control volume of the gas flow in a constant cross section`
$\begin{figure}\centerline{\includegraphics{cont/fanno/cv}} \end{figure}$

An adiabatic flow with friction is named after Ginno Fanno a Jewish engineer. This model is the second pipe flow model described here. The main restriction for this model is that heat transfer is negligible and can be ignored ^9.1. This model is applicable to flow processes which are very fast compared to heat transfer mechanisms with small Eckert number.

This model explains many industrial flow processes which includes emptying of pressured container through a relatively short tube, exhaust system of an internal combustion engine, compressed air systems, etc. As this model raised from need to explain the steam flow in turbines.

Subsections

Introduction
Model
Non-Dimensionalization of the Equations
The Mechanics and Why the Flow is Choked?
- Why the flow is choked?
- The Trends
The working equations
Examples of Fanno Flow
Supersonic Branch
Maximum Length for the Supersonic Flow
Working Conditions
The Practical Questions and Examples of Subsonic branch
- Subsonic Fanno Flow for Given 4fL/D and Pressure Ratio
- Subsonic Fanno Flow for a Given Entrance Mach Number and Pressure Ratio
The Approximation of the Fanno Flow by Isothermal Flow
More Examples of Fanno Flow
The Table for Fanno Flow

Next: Introduction Up: gasDynamics Previous: Unchoked situations in Fanno Index

Created by:Genick Bar-Meir, Ph.D.
On: 2007-11-21