A New Moment Method for Solving the Coagulation Equation for Particles in Brownian Motion

@article{Yu2008ANM,
  title={A New Moment Method for Solving the Coagulation Equation for Particles in Brownian Motion},
  author={M. Yu and Jianzhong Lin and T. L. Chan},
  journal={Aerosol Science and Technology},
  year={2008},
  volume={42},
  pages={705 - 713}
}
  • M. Yu, Jianzhong Lin, T. L. Chan
  • Published 2008
  • Mathematics
  • Aerosol Science and Technology
    • A new numerical approach for solving coagulation equation, TEMOM model, is first presented. In this model, the closure of the moment equations is approached using the Taylor-series expansion technique. Through constructing a system of three first-order ordinary differential equations, the most important indexes for describing aerosol dynamics, including particle number density, particle mass and geometric standard deviation, are easily obtained. This approach has no prior requirement for… CONTINUE READING
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    References

    SHOWING 1-10 OF 32 REFERENCES
    Improving the accuracy of the moments method for solving the aerosol general dynamic equation
    • 83
    • Highly Influential
    Direct numerical simulation of nanoparticle coagulation in a temporal mixing layer via a moment method
    • 47
    Direct Simulation and Mass Flow Stochastic Algorithms to Solve a Sintering-Coagulation Equation
    • 20
    • PDF
    Log-normally preserving size distribution for Brownian coagulation in the free-molecule regime
    • 169
    • Highly Influential
    The Log-Normal Size Distribution Theory for Brownian Coagulation in the Low Knudsen Number Regime
    • 66
    • Highly Influential
    Aerosol dynamics modeling using the method of moments
    • 368
    Change of particle size distribution during Brownian coagulation
    • 157
    • Highly Influential
    Bivariate Extension of the Quadrature Method of Moments for Modeling Simultaneous Coagulation and Sintering of Particle Populations.
    • 159
    Dynamics of discrete distribution for Smoluchowski coagulation model
    • 52
    Nanoparticle coagulation in a planar jet via moment method
    • 16