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Engineering, 03.03.2020 02:19 dezmondpowell

Show that for a perfect gas the Mach number at the nose of the Fanno line (friction and no heating) and at the nose of the Rayleigh line (heating and no friction) is unity. The nose of these lines, examples of which are given in Figs. 3.6 and 3.7, is defined by ds/dT = 0. If a duct is sufficiently long that frictional effects (with no heating) have driven the Mach number at exit to unity, what would happen to the flow rate if, without changing the upstream values of p 0 and T0, the length of pipe suddenly increased?

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