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Mathematic model of evaporation and breakup for charged droplets |
WANG Xiao-ying, WANG Jun-feng, WEN Jian-long, LUO Ti-qian |
School of Energy and Power Engineering, Jiangsu University, Zhenjiang, Jiangsu 212013, China |
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Abstract By theoretical analysis on charge decreasing,mass transfer and heat transfer processes during charged droplet evaporation,the discipline of charge decreasing and the mathematic model for charged droplet evaporation and breakup are obtained.Meanwhile,for a droplet falling freely under gravity with horizontal projection,the track model and the longest distance in both horizontal and vertical directions are obtained.The results show that charge decreases exponentially with time and the decrease gets quicker if the conductivity is greater or dielectric constant is smaller.The total time for droplet evaporation is in proportion to initial droplet radius,the critical charge gets smaller with increasing droplet temperature,and the droplet breaks when the droplet charge is greater than the critical charge.The model predicts the Coulombic fission time of the droplet.
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Received: 08 August 2013
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