Abstract The thermophoretic motion of a circular cylindrical particle in gaseous media with a temperature gradient perpendicular to its axis is analyzed for a small but nonzero Péclet number The Knudsen number is of the order 0.1 for the gas motion within the slip-flow regime, and the temperature jump, thermal creep, and frictional slip are permitted at the particle surface. Using a singular perturbation method, we solve the relevant energy and momentum equations and obtain a closed-form formula for the thermophoretic velocity of the cylindrical particle correct to the order The perturbed temperature field starts from the order but the correction to the thermophoretic mobility of the particle starts from the higher order Both corrections of the orders and to the particle mobility can be either positive or negative depending upon the relevant thermal and interfacial parameters, showing that the effect of heat convection in the fluid on the thermophoresis of a cylindrical particle is complex and can increase or decrease its mobility. In general, the heat convection effect on the thermophoretic mobility is substantially stronger for a circular cylinder than for a sphere, whose correction starts from the order Copyright © 2020 American Association for Aerosol Research

中文翻译：

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圆柱粒子在小的有限 Péclet 数下的热泳

摘要 针对一个很小但非零的 Péclet 数，分析了气态介质中圆柱形颗粒在气态介质中的热泳运动，其温度梯度垂直于其轴。对于滑流状态下的气体运动，Knudsen 数约为 0.1，而颗粒表面允许出现温度跳跃、热蠕变和摩擦滑移。使用奇异摄动法，我们求解相关的能量和动量方程，得到圆柱粒子热泳速度的闭式公式，修正为阶数扰动温度场从阶数开始，但对粒子热泳迁移率的修正从高阶数开始根据相关的热和界面参数，阶数和粒子迁移率的修正可以是正的也可以是负的，这表明流体中的热对流对圆柱形粒子的热泳的影响是复杂的，可以增加或减少其流动性。一般来说，圆柱体的热对流对热泳迁移率的影响比球体强得多，