基于蒙特卡罗方法的率值稳定性定量分析(Ⅰ)——随机检验误差对生料率值稳定性的影响

使用蒙特卡罗方法对随机检验误差对生料率值稳定性的影响进行了模拟计算。结果表明,在生料化学成分SiO2、Al2O3、Fe2O3、CaO自身波动标准偏差分别为0.30%、0.10%、0.08%、0.45%的条件下,生料化学成分SiO2、Al2O3、Fe2O3、CaO检验标准偏差分别为0.050%、0.067%、0.050%、0.083%时,导致生料率值KH、SM、IM标准偏差分别增加0.0003、0.007、0.0094。化学成分检验标准偏差按倍数增加时,生料率值标准偏差随之增加,但与化学成分检验标准偏差增加的倍数不同。得到了4种主要化学成分检验标准偏差单位变化量对应的生料率值标准偏差变化量。

基于蒙特卡罗方法的率值稳定性定量分析(Ⅱ)——原料化学成分波动对生料率值稳定性的影响

使用蒙特卡罗方法对原料化学成分波动与生料率值稳定性之间的定量关系进行了模拟计算。结果表明,一种原料单一波动,石灰石的SiO2、Al2O3、Fe2O3、CaO的标准偏差分别为0.10%、0.02%、0.05%、0.15%时,生料KH、SM、IM的标准偏差分别为0.006、0.028、0.031;砂岩的SiO2、Al2O3、Fe2O3、CaO的标准偏差分别为0.80%、0.20%、0.50%、0.10%时,生料KH、SM、IM的标准偏差分别为0.005、0.033、0.038。这一结果揭示,相对于石灰石,砂岩的预均化同样不容忽视。石灰石和砂岩化学成分同时按上述标准偏差波动,生料KH、SM、IM的标准偏差分别为0.008、0.043、0.049。

基于蒙特卡罗方法的率值稳定性定量分析(Ⅲ)——原料计量设备误差对生料率值稳定性的影响

使用误差理论和方法对原料计量设备误差的性质、特点,及对出磨生料率值稳定性的影响规律和程度进行了分析;使用蒙特卡罗方法模拟计算了原料计量设备随机误差与出磨生料率值标准偏差之间的定量关系。结果表明,当4种原料计量设备准确度等级为1%时,KH、SM、IM的标准偏差增量分别为:0.0026、0.0027、0.0022。

Efficient Mass Transport and Electrochemistry Coupling Scheme for Reliable Multiphysics Modeling of Planar Solid Oxide Fuel Cell Stack

A multiphysics model for a production scale planar solid oxide fuel cell （SOFC） stack is important for the SOFC technology, but usually requires an unpractical amount of computing resource. The major cause for the huge computing resource requirement is identified as the need to solve the cathode O2 transport and the associated electrochemistry. To overcome the technical obstacle, an analytical model for solving the O2 transport and its coupling with the electrochemistry is derived. The analytical model is used to greatly reduce the numerical mesh complexity of a multiphysics model. Numerical test shows that the analytical approximation is highly accurate and stable. A multiphysics numerical modeling tool taking advantage of the analytical solution is then developed through Fluent@. The numerical efficiency and stability of this modeling tool are further demonstrated by simulating a 30- cell stack with a production scale cell size. Detailed information about the stack performance is revealed and briefly discussed. The multiphysics modeling tool can be used to guide the stack design and select the operating parameters.

Stability analysis for delayed viral infection model with multitarget cells and general incidence rate

In this paper, the sharp threshold properties of a （2n ＋ 1）-dimensional delayed viral infection model are investigated. This model combines with n classes of uninfected tar- get cells, n classes of infected cells and nonlinear incidence rate h（x,v）. Two kinds of distributed time delays are incorporated into the model to describe the time needed for infection of uninfected target cells and virus replication. Under certain conditions, it is shown that the basic reproduction number is a threshold parameter for the existence of the equilibria, uniform persistence, as well as for global stability of the equilibria of the model.