Plotting Fanno Flow Entropy Equation in T-s Plot

In summary, the conversation is about plotting a function in a T-s plot to represent the motion of a gas in a duct with friction. The Mach number changes along the curve and R is a constant. There is a question about the variables that M depends on and a suggestion to do a contour plot if it depends on both S and T.
  • #1
andreajf89
7
0
Hi everybody, I have a problem with this equation:
it represents the motion of a gas in a duct with friction (Fanno flow). I need to plot this function in a T-s plot, do you have any ideas? the Mach number changes along the curve...

R=constant
S2-S1=R*(M2-1)*log(T2/T1)$
 
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  • #2
What exactly do you want to plot? S2-S1 vs. T2, or vs. T2/T1?

What variables does M (the Mach number?) depend on? Is it just a function of T? S and T?

If it depends on both you'll need to do a contour plot. (The brute force way of doing a contour plot is basically to generate a grid of S and T points and then plot a point for every pair of values (T,S) that satisfy the equation).
 

1. What is Fanno Flow?

Fanno Flow is a type of compressible flow that occurs when a fluid flows through a long, straight pipe with friction. It is named after Italian engineer Gino Fanno who first studied this type of flow in the early 20th century.

2. What is the Fanno Flow Entropy Equation?

The Fanno Flow Entropy Equation is an important thermodynamic equation used to analyze the behavior of fluids in Fanno Flow. It relates the change in entropy to the change in temperature and Mach number (a measure of the fluid's speed) in a compressible flow.

3. How is the Fanno Flow Entropy Equation plotted in a T-s plot?

In order to plot the Fanno Flow Entropy Equation in a T-s (temperature-entropy) plot, the equation is rearranged to solve for entropy as a function of temperature and Mach number. This allows for the creation of a curve on the T-s plot that represents the behavior of the fluid in Fanno Flow.

4. What information can be obtained from plotting the Fanno Flow Entropy Equation in a T-s plot?

By plotting the Fanno Flow Entropy Equation in a T-s plot, we can analyze the behavior of the fluid in Fanno Flow and determine important parameters such as the critical Mach number (the maximum Mach number at which flow can remain continuous), the entropy change across the flow, and the temperature change across the flow.

5. How is the Fanno Flow Entropy Equation used in practical applications?

The Fanno Flow Entropy Equation is used in a variety of practical applications, such as the design of gas turbine engines, the analysis of supersonic flows in pipes, and the study of compressible flow in ducts. It is an important tool for understanding the behavior of fluids in Fanno Flow and can help engineers optimize the performance of various systems.

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