逆向阴燃问题一维定态解的数学性质  

Mathematical properties of a one-dimensional steady solution of reverse smolder waves

作　　者：高梦[1] 许兰喜[1] 

机构地区：[1]北京化工大学理学院,北京100029

出　　处：《北京化工大学学报（自然科学版）》2017年第4期119-123,共5页Journal of Beijing University of Chemical Technology(Natural Science Edition)

摘　　要：利用数学分析的方法研究了非绝热逆向阴燃波的一维定常解的数学性质,并对富燃情况下逆向阴燃的定常解进行数值模拟。理论推导与数值模拟的结果表明:温度、固体质量浓度和氧气质量浓度在x趋于正无穷时趋于定常数,且温度在无穷远处的极限为环境温度θ0,而固体质量浓度和氧气质量浓度在无穷远处的极限的乘积为零。The mathematical analysis method has been used to study the mathematical properties of an one-dimensional steady solution of non-adiabatic reverse smolder waves. The results show that the temperature,the solid mass concentration and oxygen concentration all tend to be constant,the limit of temperature at infinity is θ0,and the product of the limit of the solid mass concentration and oxygen concentration at infinity is zero. A numerical simulation of the steady solution of reverse smoldering in the case of rich fuel is carried out,and the results are in agreement with the theoretical proof.

关 键 词：逆向阴燃 定常解 非绝热 

分 类 号：O242.1[理学—计算数学]