Entropy equation plot

andreajf89

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)$

Mute

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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andreajf89	Entropy equation plot 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)$

Mute Recognitions: Homework Help	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).