Plotting Fanno Flow Entropy Equation in T-s Plot

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SUMMARY

The discussion focuses on plotting the Fanno flow entropy equation in a temperature-entropy (T-s) plot, specifically the equation S2-S1=R*(M2-1)*log(T2/T1). Participants clarify the need to determine whether to plot S2-S1 against T2 or T2/T1. The Mach number (M) is identified as a variable dependent on both temperature (T) and entropy (S), necessitating a contour plot for accurate representation. The brute force method for generating a contour plot involves creating a grid of S and T points to visualize the relationship defined by the equation.

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  • Understanding of Fanno flow and its implications in gas dynamics
  • Familiarity with the T-s plot and its significance in thermodynamics
  • Knowledge of contour plotting techniques in data visualization
  • Proficiency in manipulating equations involving temperature and entropy
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  • Research the principles of Fanno flow and its applications in thermodynamics
  • Learn how to create contour plots using software like MATLAB or Python's Matplotlib
  • Explore the relationship between Mach number, temperature, and entropy in gas dynamics
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andreajf89
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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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