講演要旨: |
Many engineering science problems can be framed using population balance formalism. In this formalism, one assigns various attributes to members of a population and then tracks how the overall population evolves as the individual classes of members evolve according to some specified dynamical model. In our work, we have applied population balance techniques to aerosol dynamics, turbulent combustion, and uncertainty propagation. In this seminar, I will discuss how one might model a set of fire engineering problems using this framework. I will present the basics of population balance techniques using aerosols/smoke from a fire as an example. I will show how we use moment methods such as quadrature-method-of-moments (QMOM) and the related direct-quadrature-method-of-moments (DQMOM) to solve these problems. I will then present how we analyzed the detection characteristics of a photoelectric smoke detector using these methods. I will also present how we used these approaches for design fire analyses. Lastly, I will briefly speak about how we apply these techniques to describe turbulent combustion characteristics in a zone (PaSR) model. |