用解析解研究了环绕有蒸发的燃烧油滴的二维轴对称气体流动,给出了局部蒸发率和火焰半径随圆周角的变化,和实验结果一致.用数值模拟研究了环绕乙醇油滴的三维有燃烧气体流动,给出了不同相对速度下的不同燃烧模态,和实验观测一致,阐明了实验中观察到的蒸发常数随相对速度的增大先升高、后下降、然后突降的机理.模拟结果指出,有蒸发和燃烧的油滴的阻力远小于无蒸发和燃烧的固体颗粒的阻力.“,”The two-dimensional axi-symmetric flow surrounding an evaporating and combusting droplet was studied by analytical solution.The results give the local evaporation rate and flame radius vs as the azimuthal angle,in agreement with the experimental results.The 3-D combusting gas flows surrounding an ethanol droplet was studied by numerical simulation.The prediction results show three modes of droplet combustion under different relative velocities,explaining the first increase,then decrease and at last sudden falling down of the evaporation constant with the increase of relative velocity observed in experimeuts.The numerical results indicate that the drag force of an evaporating and combusting droplet is much smaller than that of a cold solid particle.