Notes
Slide Show
Outline
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Modeling
Aqueous Film Forming Foam (AFFF)
  • Brian Y. Lattimer
  • 410.737.8677
  • www.haifire.com
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Topics
  • Background
  • Modeling approach
  • Modeling Results
  • Experimental Results
    • Model input data

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Background
  • Alternative foam formulations being developed
    • Environmentally friendly
  • Performance evaluation impeding progress
    • Full-scale test required
  • Lack of understanding of foam extinguishment mechanism
    • Current small-scale tests not measuring all important parameters
    • Performance a function of multiple parameters


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Background
  • Goals of study
    • Accelerate the evaluation process of foam
      • Develop model
        • Predict full-scale performance of a foam
      • Use / develop small-scale tests
        • Measure performance of specific aspects of foam
          • Drainage, evaporation, spreading characteristics
        • Model input data
    • Near term goal of predicting MIL-SPEC test
      • 28 and 50 ft2 MOGAS pool fires


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Previous Work
  • Swedish National Laboratory and Research Institute (SP)
    • Small-scale tests
      • Drainage and evaporation rates
      • Viscosity of foam
    • Large-scale foam spread tests
      • With and without fire
    • Nozzle characterization
      • Some velocity and mass distribution
    • Modeling
      • Simplified 1-D cases (channel and axisymmetric)
      • Meshing of 1-D cases for 2-D case
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Previous Work
  • SP (continued)
    • Conclusion
      • Modeling approach not capable of predicting very large scale tests with hose line application
  • Several studies on modeling foam drainage and evaporation
    • Perssons et al. (1992, 1996, 1997), Magrabi, et al. (1997)
  • Ablation model for Hi-Ex foams
    • Boyd and Di Marzo (1998)
  • Rheology of foam
    • Gardiner et al. (1998)
    • Persson et al. (1998)
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Suppression Process
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Modeling Approach
  • Field model
    • Model foam spreading
      • Unsteady shallow water equations
        • Hydraulics / hydrology of river flows
    • Divide space above fuel into a single layer of cells
      • Cell thickness varies
      • Average properties over height of foam
    • Source terms from small-scale test data
      • Solution drainage
      • Solution evaporation
      • Foam addition from nozzle
      • Momentum from nozzle spray
      • Shear force between foam and fuel
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Modeling Approach
  • Thermal modeling
    • Radiation from fire to foam
      • Emissive power of fire and configuration factors
    • Evaporation of foam dependent on predicted incident flux onto foam
    • No predictions of foam temperatures in initial versions
      • Small-scale testing shows no heat transfer to fuel until foam less than 25 mm (1.0 in.) thick
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Equations of Motion
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Equations of Motion
  • Other body forces
    • Shear between foam and fuel
    • Shear from external air currents
      • Wind
      • Air entrainment into fire
    • Momentum from foam application
    • Surface tension
  • Various boundary conditions
    • Effects of obstructions
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1-D Shallow Water Equation
  • Assumptions
    • No source terms
    • Constant density
  • Verification
    • Compared against exact solutions to Riemann problem


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Dry Bed Problem
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Dry Bed Problem
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Wet Bed Problem
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Spill
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Wave Reflection
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Next Steps in Modeling
  • Adding in source terms
    • Frictional shear between the flow and the bed
    • Mass losses and gains
    • Validation
  • 2-D solutions
    • Validation
  • Foam flows
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Evaporation, Drainage and Suppression Models
  • Evaporation
    • Heat balance at surface
    • Effective absorptivity
  • Drainage
    • Foam mass to predict drainage rate
      • Develop a reference curve
        • 75 mm thick foam layer
        • Moderate irradiance level (20 kW/m2)
  • Suppression
    • Critical foam mass
      • 0.90 kg/m2
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Validation of Drainage and Evaporation Models
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Validation of Drainage and Evaporation Models
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Validation of Drainage and Evaporation Models
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Summary
  • Solved and verified 1-D shallow water equations
  • Developed and validated models for foam solution mass drained and evaporated
  • Developed model for suppression
  • Implementing source terms and multiple dimensions into model
  • Conducting test to support model input data development