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Problem 13.17

# Problem 13.17 - 2.00 0.137 0.0622 44.4 2.50 0.172 0.0501...

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Problem 13.17 [Difficulty: 3] Given: Data on tank conditions; isentropic flow Find: Plot cross-section area and pressure distributions Solution: The given or available data is: R = 53.33 ft·lbf/lbm· o R k = 1.4 T 0 = 500 o R p 0 = 45 psia p e = 14.7 psia m rate = 2.25 lbm/s Equations and Computations: From p 0 , p e and Eq. 13.7a (using built-in function IsenMfromp (M,k)) (13.7a) M e = 1.37 Because the exit flow is supersonic, the passage must be a CD nozzle We need a scale for the area. From p 0 , T 0 , m flow , and Eq. 13.10c (13.10c) Then A t = A * = 0.0146 ft 2 For each M , and A *, and Eq. 13.7d (using built-in function IsenA ( M , k ) (13.7d) we can compute each area A . From each M , and p 0 , and Eq. 13.7a (using built-in function Isenp ( M , k ) we can compute each pressure p .

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