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采用隐式差分法、焓-温度法和Gauss-Seidel迭代算法对Ti-C系自蔓延高温合成过程进行了数值模拟,系统研究了气孔率和稀释剂对体系温度场、燃烧波蔓延速率和燃烧模式的影响。在数值模拟过程中考虑了气孔率对坯体密度和热导率的影响,以及反应物和产物的熔化。结果表明:随着压坯气孔率的改变,体系的燃烧温度和燃烧模式保持不变,燃烧波以均匀的稳态模式蔓延,这是由于体系具有较低的激活能;随着压坯气孔率的降低,燃烧波蔓延速率首先增加,这是由于热导率增加的原因,待达到一个最大值后,蔓延速率再减小,这主要是由于反应物具有高的热导率。将TiC作为稀释剂,随着稀释剂含量的增加,燃烧温度和蔓延速率逐渐降低。
The implicit difference method, enthalpy-temperature method and Gauss-Seidel iteration algorithm were used to simulate the temperature-programmed synthesis process of Ti-C system. The effects of porosity and diluent on the temperature field, propagation rate and combustion of Ti- The impact of the model. The effects of porosity on the density and thermal conductivity of the green body and the melting of the reactants and products were taken into account in the numerical simulation. The results show that with the change of porosity, the combustion temperature and combustion mode of the system remain unchanged, and the combustion wave propagates in a uniform steady state mode due to the lower activation energy of the system. With the increase of porosity , The rate of propagation of the combustion wave first increases due to the increase in thermal conductivity, and after reaching a maximum, the rate of propagation decreases again, mainly due to the high thermal conductivity of the reactants. With TiC as a diluent, as the diluent content increases, the combustion temperature and the rate of spread decrease.