一种求解逆风下火焰沿柱状燃料传播的数值方法

• 作 者: 李先庭 李吉生 彦启森
• 机 构: 清华大学热能工程系!北京,100084,清华大学热能工程系!北京,100084,清华大学热能工程系!北京,100084
• 出 处: 工程热物理学报
• 发表日期: 1997年01期
• 关键词: 火焰传播 数值计算 气固两相 守恒方程 牛顿法 数值方法 SIMPLE 准稳态 数值解 参考坐标系

In a reference frame attached to the flame front, the flame spreading rate becomes an eigenvalue for the flame spreading over a rod fuel. A numerical model is presented for the problem which is consisted of the conservation equations in gas phase and massand energy balance equations in solid phase. SIMPLE algorithms are used for gas-phase equations.Newton and Continuaton-Newton algorithms are used for solid-phase equations.Iterations are made between gas phase and solid phase until convergence is reached. It is shown that the combination of Continuation-Newton and SIMPLE algorithms is good enough for the eigenvalue problem which is consisted of non-linear differential equations coupled each other between solid phase and gas phase.

In a reference frame attached to the flame front, the flame spreading rate becomes an eigenvalue for the flame spreading over a rod fuel. A numerical model is presented for the problem which is consisted of the conservation equations in gas phase and mass and energy balance equations in SIMPLE algorithms are used for gas-phase equations. Newton and Continuon-Newton algorithms are used for solid-phase equations. These are made between gas phase and solid phase until convergence is reached. It is shown that the combination of Continuation- Newton and SIMPLE algorithms is good enough for the eigenvalue problem which is consisted of non-linear differential equations coupled each other between solid phase and gas phase.