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Theoretical Model of Droplets Motions on Solid Surface With Radial Wettable and Evaporation Rate Gradients

[+] Author Affiliations
Yanjie Yang, Zan Wu, Bengt Sundén

Lund University, Lund, Sweden

Xiaoqian Chen, Yiyong Huang

National Institute of Defense Technology Innovation, Beijing, China

Paper No. IMECE2018-87890, pp. V08AT10A028; 6 pages
  • ASME 2018 International Mechanical Engineering Congress and Exposition
  • Volume 8A: Heat Transfer and Thermal Engineering
  • Pittsburgh, Pennsylvania, USA, November 9–15, 2018
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-5211-8
  • Copyright © 2018 by ASME


Wettability gradient in radial direction and evaporation rate gradient can cause droplet motion on a solid surface. Here a theoretical model is proposed. Besides, an equation of droplet velocity is derived on a solid surface. We consider the wettability and evaporation rate gradients are mainly caused by the chemical composition and surface roughness, only along the radial direction. Surface tension at the liquid-vapor interface is constant as it is assumed that the temperature does not change during the whole process. Thus, Marangoni effect induced by the liquid-vapor surface tension gradient is neglected. Besides, as droplet size is set as less than the capillary length (Display Formulal=γ/ρg), the gravity effect is ignored as well. The velocity at the droplet center on a gradient surface along the radial direction is half of that along the x-direction. With the simulation of water droplet, the center velocity decreases with time and the droplet radius increases at the beginning part and then decreases.

Copyright © 2018 by ASME
Topics: Drops , Evaporation



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