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首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >Numerical conformal mappingmethod vs. geometrical separation attitude: Combustion motor chamber internal flow simulation
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Numerical conformal mappingmethod vs. geometrical separation attitude: Combustion motor chamber internal flow simulation

机译：数值保形绘图与几何分离姿态：燃烧电动室内部流模拟

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This paper describes the numerical solution of flow analysis in a twodimensional combustion chamber with two parallel inlets aided for propellants entrance, addressing a number of different problems that depend on each other: the flow affected by a discrete point in-cell vortex, the velocity affected by the flow regime in the cell, and the combustion problem affected by the oxygen and fuel entries from the cell walls. The shape geometry of the combustion chamber is made from a square section connected with a semi-circular one. The mathematical model of the problem consists of an inhomogeneous stream function Laplace equation coupled to partial differential mass conservation equation subjected to a wall non-intrusion condition and known mass values in the wall openings. Algebraic conformal mapping transformation has been used for modeling the complex cell geometry. The solution was obtained by using the iterative Gauss- Seidel method for both the current function and the mass calculation. Comparison with another modeling method for calibration purpose was performed; considering each geometrical component separately whereas continuous conditions were applied between the two sections. The grid types are: (1) a uniform grid in Cartesian coordinates in the square part, and (2) a uniform circular grid in polar coordinates. It was found that different initial guesses have not effect on the final solution, but an informed initial guess affects the solution time convergence iterations number to solve the problem. Finally, the effect of the mixing vortex on the location of the flame front in the chamber was investigated.
机译：本文描述了二维燃烧室内流动分析的数值解，该燃烧室内有两个平行的进气口，有助于推进剂的进入，解决了许多相互依赖的不同问题：受单元涡流中离散点影响的流动，受单元内流型影响的速度，以及燃烧问题受到来自电池壁的氧气和燃料入口的影响。燃烧室的几何形状由一个方形截面和一个半圆形截面连接而成。该问题的数学模型由一个非齐次流函数拉普拉斯方程和偏微分质量守恒方程耦合而成，该偏微分质量守恒方程受墙体非侵入条件和墙体开口中的已知质量值的影响。代数保角变换已被用于复杂细胞几何建模。对于电流函数和质量计算，均采用高斯-赛德尔迭代法求解。与另一种用于校准的建模方法进行了比较；分别考虑每个几何分量，而在两个截面之间应用连续条件。网格类型有：（1）直角坐标系中正方形部分的统一网格，以及（2）极坐标系中的统一圆形网格。研究发现，不同的初始猜测对最终解没有影响，但知情的初始猜测会影响解的收敛时间和求解问题的迭代次数。最后，研究了混合涡对燃烧室内火焰前沿位置的影响。

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