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Trajectories of charged droplets in transverse airflows

机译:横向气流中带电液滴的轨迹

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A three-dimensional time-transient numerical algorithm is developed for the calculation of ink drop trajectories in transverse airflows. The drop is charged, and is ejected with some initial velocity. The simulation requires the solution of Laplace's equation subject to charge conservation on the drop, together with integration of the dynamical equation of motion. The model considers the "floating" potential on the drop as it traverses the air gap, and Stoke's drag due to the prevailing airflow. The specific case of a spherical drop in a uniform electric field is amenable to analytic solution, and is used to verify the model. Important parameters calculated for the drop include: the initial drop charge; time-of-flight; and velocity of impact on the receiver. The more general model will allow the study of transverse airflows and non-uniform E-Field effects on the drop.
机译:开发了一种三维时间瞬态数值算法,用于计算横向气流中的墨滴轨迹。液滴被充电,并以初始速度喷射。该模拟需要拉普拉斯方程的解在液滴上保持电荷守恒,并结合运动动力学方程。该模型考虑了液滴在穿过气隙时的“浮动”电位,以及主要气流导致的斯托克阻力。均匀电场中球形下降的具体情况适合于解析解,并用于验证模型。为液滴计算的重要参数包括:初始液滴费用;飞行时间;和对接收器的撞击速度。更通用的模型将允许研究横向气流和对液滴的非均匀电场的影响。

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