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Area, Mass Flow Functions C-D Nozzles

Area, Mass Flow Functions C-D Nozzles. Compressible Flow Relationships. Mass Flow parameter. Compressible Flow Relationships. Area-Mach number differential relation Area-Mach number integral relation. More on next chart. Compressible Flow Relationships. What does subscript * mean?

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Area, Mass Flow Functions C-D Nozzles

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  1. Area, Mass Flow Functions • C-D Nozzles

  2. Compressible Flow Relationships • Mass Flow parameter

  3. Compressible Flow Relationships • Area-Mach number differential relation • Area-Mach number integral relation More on next chart

  4. Compressible Flow Relationships • What does subscript * mean? • For all flow variables it means when that variable when M=1 [sonic] • For area A* this is reference area for choking flow [M=1] • Note this area is a minimum or throat More on next chart

  5. Compressible Flow Relations

  6. Compressible Flow Examples

  7. Compressible Flow Examples

  8. Compressible Flow • Mass Flow Parameters:

  9. Compressible Flow Relationships • Mass flow parameters Note: FPo, FPs are similar, but different f[M] powers

  10. Compressible Flow Relationships • Mass flow parameters How to get more mass flow, i.e. greater thrust, more power?

  11. Compressible Flow Examples

  12. Example

  13. Static Pressure Mass Flow Parameter • Defining: FP = Flow parameter=f(M) • For Air

  14. Static Pressure Mass Flow Parameter • Remember that • can be inverted:

  15. Total Pressure Mass Flow Parameter • Introducing P0: • No explicit solution for M • FPs is single valued, FPo is not

  16. Total Pressure Mass Flow Parameter • FP0 is double valued • FP0 maximizes at M = 1.0 • Maximum FP0 is 0.5787 for= 1.4

  17. Mass Flow Parameters Be careful: FPs single valued, FPo double values

  18. Other Parameters • Example: m = 50 lb/sec A = 200 sq.in. P0 = 14.7 psia  = 30 T0 = 519 R

  19. Example Solution to Mass Flow Parameter • Rearrange FP0 equation:

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