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Stability of liquid droplet containing insoluble surfactant spreading over corrugated topography

Li Chun-Xi Pei Jian-Jun Ye Xue-Min

Stability of liquid droplet containing insoluble surfactant spreading over corrugated topography

Li Chun-Xi, Pei Jian-Jun, Ye Xue-Min
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  • PDF Downloads:  184
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Publishing process
  • Received Date:  27 February 2013
  • Accepted Date:  23 April 2013
  • Published Online:  05 September 2013

Stability of liquid droplet containing insoluble surfactant spreading over corrugated topography

  • 1. Key Laboratory of Condition Monitoring and Control for Power Plant Equipment, North China Electric Power University, Baoding 071003, China
Fund Project:  Project supported by the Fund of the National Natural Science Foundation of China (Grant Nos. 10972077, 11202079), and the Fundamental Research Funds for the Central Universities of Ministry of Education of China (Grant No. 13MS97).

Abstract: For the spreading of an insoluble surfactant-laden droplet over the corrugated topography, the lubrication theory is used to establish the physical and mathematical models of the spreading of droplet and to derive the base state and disturbance evolution equations for thin liquid film thickness and surfactant concentration. The stability of droplet spreading on topography surfaces, as well as the effects of several parameters are investigated based on the non-model stability theory. Results show that disturbance quantities reach minimum at the droplet center and spreading fronts, and achieve the maximum in thinning regions, and the negative disturbance of surfactant concentration is quite obvious. Disturbance wave number can enhance the stability of the droplet spreading, but with increasing wave number, the stability tends to be weak and even transform into instability. The spreading stability is distinctly promoted with decreasing Marangoni number or increasing corrugated topography height. The droplet evolution displays a much stable spreading for moderate values of Peclet number and topography wave number.

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