Plotting Fanno Flow Entropy Equation in T-s Plot

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The discussion focuses on plotting the Fanno flow entropy equation in a temperature-entropy (T-s) plot, specifically addressing the relationship between entropy change (S2-S1) and temperature ratios (T2/T1). Participants inquire about the specific variables to plot, such as whether to plot S2-S1 against T2 or T2/T1. The Mach number's dependency on temperature and entropy is also questioned, suggesting that if it varies with both, a contour plot would be necessary. A brute force method for creating a contour plot involves generating a grid of S and T points to visualize the equation's solutions. The conversation emphasizes the complexities of plotting Fanno flow characteristics accurately.
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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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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).
 

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