A simple mathematical model of the dynamics of a non-stationary liquid jet (NSLJ) is presented to describe the injection of diesel fuel in a diesel engine, supplied under pressure to the combustion chamber. The proposed model describes the dynamics of the NSLJ as a motion of the center of mass of a material point of variable mass based on the laws of Newton’s mechanics. In this case, the mass of the material point is made up of the mass of liquid fuel and air involved in the motion, taking into account the uneven distribution of fuel and air along the length of the NSLJ. Numerical modeling using new experimental data shows a satisfactory agreement between the theoretical and experimental results on the dynamics of the NSLJ development. The model allows optimizing the dynamics of NSLJ and mixing processes for specific sizes of the diesel combustion chamber on the basis of numerical modeling.

提出了一个非平稳液体射流（NSLJ）动力学的简单数学模型，用于描述柴油机中柴油的喷射，该柴油在压力下供应到燃烧室。拟议的模型根据牛顿力学定律将NSLJ的动力学描述为质量可变的材料点的质心运动。在这种情况下，考虑到沿NSLJ长度方向燃料和空气的不均匀分布，物料点的质量由运动中涉及的液体燃料和空气的质量组成。使用新的实验数据进行的数值建模表明，理论和实验结果对NSLJ开发动力学具有令人满意的一致性。