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

  title={A New Moment Method for Solving the Coagulation Equation for Particles in Brownian Motion},
  author={Mingzhou Yu and Jianzhong Lin and Tatleung Chan},
  journal={Aerosol Science and Technology},
  pages={705 - 713}
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… 

n analytical solution for the population balance equation using a oment method

An analytical model to solve the governing population balance equation (PBE) under Brownian coagulation based on the Taylor-expansion method of moments is developed, suggesting that the proposed model has great potential to replace the existing numerical model.

A modified TEMOM model for Brownian coagulation of nanoparticles based on the asymptotic solution of the sectional method

The Taylor-series expansion method of moments (TEMOM) is modified to match the behavior of real self-preserved aerosols by taking advantage of the numerical results obtained by the sectional method



Direct Simulation and Mass Flow Stochastic Algorithms to Solve a Sintering-Coagulation Equation

An efficient stochastic method to solve the time evolution of a bivariate population balance equation which has been developed for modelling nano-particle dynamics and finds a marked preference for using the mass flow algorithm to determine the higher order volume and area moments of the particle size distribution function.

Log-normally preserving size distribution for Brownian coagulation in the free-molecule regime

Coagulation of aerosol particles in the free-molecule regime has been studied theoretically by converting the governing partial integrodifferential equation into a set of two ordinary differential

The Log-Normal Size Distribution Theory for Brownian Coagulation in the Low Knudsen Number Regime

Abstract An analytical solution to the Brownian coagulation of aerosol particles in the low Knudsen number regime is presented which provides time evolution of the particle size distribution. The

Change of particle size distribution during Brownian coagulation

Bivariate Extension of the Quadrature Method of Moments for Modeling Simultaneous Coagulation and Sintering of Particle Populations.

It is demonstrated that, even in the bivariate case, it is possible to use the QMOM to rapidly model the approach to asymptotic behavior, allowing an immediate assessment of when previously established asymPTotic results can be applied to dynamical situations of current/future interest.

Nanoparticle coagulation in a planar jet via moment method

Large eddy simulations of nanoparticle coagulation in an incompressible planar jet were performed. The particle is described using a moment method to approximate the particle general dynamics