Verification Case 12

Problem Statement

PRODUCT: AFT Arrow

MODEL FILE: AroVerify12.ARO

REFERENCE: Michel A. Saad, Compressible Fluid Flow, 2nd Edition, Prentice-Hall, Englewood Cliffs, NJ, 1993, Pages 226-227, example 5.5

GAS: Air

ASSUMPTIONS: 1) Adiabatic, 2) Perfect gas

RESULTS:

Parameter Saad AFT Arrow
Mass flow rate when choked (kg/s) 2.11 2.10
M1 Mach number at inlet 0.603 0.603
P1 Static pressure at inlet (MPa) 2.106 2.114
T1 Static temperature at inlet (deg. K) 427.8 429.5
P2,choke Static back pressure for choking (MPa) 1.203 1.220

DISCUSSION:

All results agree closely. The AFT Arrow static pressure below which choking occurs is the pipe exit static pressure.

Note that the friction factor in Saad is the Fanning friction factor. To obtain the Darcy-Weisbach friction factor used in AFT Arrow, multiply the Fanning friction factor by 4.

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