A Formalism for Calculating the Evaporation Rates of Rapidly Evaporating Interacting Particles

A Formalism for Calculating the Evaporation Rates of Rapidly Evaporating Interacting Particles
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计算快速蒸发相互作用粒子的蒸发率的形式主义

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发表时间:
1978
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通讯作者:
M. Labowsky
M. Labowsky
中科院分区:
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文献类型:
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作者:
M. Labowsky

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本文通过适当的变量变换,将描述快速蒸发相互作用球形粒子周围准定常蒸汽密度场和温度场的输运方程简化为拉普拉斯方程。这些方程一旦化为这种形式,就可以用镜像法求解。这种方法是求解拉普拉斯方程的一种相当普遍的方法,并且可以应用于由任意数量的任意排列的相互作用的粒子组成的粒子阵列,这些粒子的尺寸和化学成分可能不同。相互作用显着影响颗粒蒸发速率,即使在大颗粒分离。然而,对于所考虑的阵列,粒子温度被发现不受相互作用的影响。
Abstract The transport equations governing the quasi-steady vapor density and temperature fields surrounding rapidly evaporating interacting spherical particles are reduced to the Laplace equation by using suitable variable transformations. Once reduced to this form, these equations can be solved by the method of images. This method is a fairly general one for solving the Laplace equation and can be applied to particle arrays consisting of an arbitrary number of arbitrarily arranged interacting particles which may differ in size and chemical composition. Interactions are shown to significantly affect particle evaporation rates even at large particle separations. For the arrays considered, however, particle temperatures are found to be unaffected by interactions.