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Modeling of Internally Mixed Injector

MITE Oct 99. Modeling of Internally Mixed Injector. A. Kushari Dr. Y. Neumeier Dr. B. T. Zinn 11/02/99. MITE Oct 99. Objectives. Theoretically predict flow and spray properties for specified operating conditions Develop a design tool. MITE Oct 99. Governing Equations. Continuity of air

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Modeling of Internally Mixed Injector

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  1. MITE Oct 99 Modeling of Internally Mixed Injector A. Kushari Dr. Y. Neumeier Dr. B. T. Zinn 11/02/99

  2. MITE Oct 99 Objectives • Theoretically predict flow and spray properties for specified operating conditions • Develop a design tool

  3. MITE Oct 99 Governing Equations • Continuity of air • Continuity of liquid • Combined air-liquid momentum • Combined air-liquid energy • Energy of liquid • Perfect gas equation of state for air

  4. MITE Oct 99 Boundary Conditions • Pressure equals back pressure at the exit or • Air attains sonic velocity at the exit

  5. MITE Oct 99 Solution Domain

  6. MITE Oct 99 Assumptions • No wall friction • Liquid flow isothermal and incompressible • One dimensional, steady flows • Air flow uniform • Air behaves as perfect gas • Liquid breakup is according to a normalized distribution of Weber number • Limited coalescence of droplets possible

  7. MITE Oct 99 Uniform Model

  8. MITE Oct 99 Uniform Model (cont.)

  9. MITE Oct 99 Results from Uniform Model

  10. MITE Oct 99 Comparison • Continuity of liquid • Momentum of Air+Liquid • Energy of Air+Liquid • Energy of Liquid

  11. MITE Oct 99 Solution Procedure • Velocity bins 2000 (0-200 m/s), Droplet bins 80 (0-800 mm) • Initial Conditions • from uniform model @ X = L  one bin(I,J) • Solve for Vdv @ X=X+dx • pressure is the independent variable because pressure should be uniform • Break into droplets and redistribute into bins

  12. MITE Oct 99 Droplet Breakup

  13. MITE Oct 99 Droplet Breakup (conti.)

  14. MITE Oct 99 Results

  15. MITE Oct 99 Results (conti.)

  16. MITE Oct 99 Effect of Coal

  17. MITE Oct 99 Conclusions • Less coalescence creates smaller drops • Good prediction of flow rate • boundary condition matched very close to the exit • Captured the trend of droplet formation

  18. MITE Oct 99 Future Works • Independent breakout and binary “coal” • Use the model to predict flow and spray characteristics • Start with uniform model to obtain flow rate and initial conditions • Correct the flow rate using distributed model • Dependence of injector predicted performance upon statistical parameters

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