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Dynamics of insoluble surfactant-laden thin films flow over inclined random topography

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

Dynamics of insoluble surfactant-laden thin films flow over inclined random topography

Li Chun-Xi, Pei Jian-Jun, Ye Xue-Min
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Publishing process
  • Received Date:  17 June 2013
  • Accepted Date:  03 July 2013
  • Published Online:  05 November 2013

Dynamics of insoluble surfactant-laden thin films flow over inclined random topography

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

Abstract: For the flow of an insoluble surfactant-laden thin film and droplet on inclined random topography, the lubrication theory is used to derive the evolution equations of thin liquid film thickness and interfacial surfactant concentration. Characteristics of thin film flow and droplet spreading, as well as the influence of topography structure are numerically simulated with PDECOL code. Results show that under the action of gravitational component and Marangoni effects, the thin film flow and droplet spreading is accelerated; the capillary ridge emerges at the thin film edge and the droplet center; and at the bottom of the thin film and droplet, the depression is generated. While the deformation of liquid film free surface is more significant due to the effect of random topography. The increasing θ has a role of enhancing gravitational component and Marangoni effects, leading to the enhancement of the capillary ridge and depression. The increase of D promotes the thin film flow and droplet spreading, but causes the deformation amplified; and the increased k0 can induce the evolutions of thin film flow and droplet spreading to slow down and inhibit the formation of capillary ridge and depression. In addition, compared with the thin film flow, the impact of D and k0 on the speed of droplet spreading is relatively weak.

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