Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 59
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Evgenidis, Sotiris P. Kalić, Karolina Kostoglou, Margaritis and Karapantsios, Thodoris D. 2016. Kerberos: A three camera headed centrifugal/tilting device for studying wetting/dewetting under the influence of controlled body forces. Colloids and Surfaces A: Physicochemical and Engineering Aspects,

    Janardan, Nachiketa and Panchagnula, Mahesh V. 2016. Onset of sliding motion in sessile drops with initially non-circular contact lines. Colloids and Surfaces A: Physicochemical and Engineering Aspects, Vol. 498, p. 146.

    Tang, Haida Liu, Xiao-Hua Li, Haoyue Zhou, Yan and Jiang, Yi 2016. Study on the reduction of condensation risks on the radiant cooling ceiling with superhydrophobic treatment. Building and Environment, Vol. 100, p. 135.

    van den Tempel, M. A. Wedershoven, H. M. J. M. Zeegers, J. C. H. Riepen, M. and Darhuber, A. A. 2016. Enhancement of contact line mobility by means of infrared laser illumination. I. Experiments. Journal of Applied Physics, Vol. 119, Issue. 8, p. 084904.

    Castillo, Julian E. Weibel, Justin A. and Garimella, Suresh V. 2015. The effect of relative humidity on dropwise condensation dynamics. International Journal of Heat and Mass Transfer, Vol. 80, p. 759.

    Hou, Youmin Yu, Miao Chen, Xuemei Wang, Zuankai and Yao, Shuhuai 2015. Recurrent Filmwise and Dropwise Condensation on a Beetle Mimetic Surface. ACS Nano, Vol. 9, Issue. 1, p. 71.

    Legendre, D. and Maglio, M. 2015. Comparison between numerical models for the simulation of moving contact lines. Computers & Fluids, Vol. 113, p. 2.

    Liu, Xiuliang and Cheng, Ping 2015. Dropwise condensation theory revisited Part II. Droplet nucleation density and condensation heat flux. International Journal of Heat and Mass Transfer, Vol. 83, p. 842.

    Liu, Haihu Ju, Yaping Wang, Ningning Xi, Guang and Zhang, Yonghao 2015. Lattice Boltzmann modeling of contact angle and its hysteresis in two-phase flow with large viscosity difference. Physical Review E, Vol. 92, Issue. 3,

    Paterson, C. Wilson, S. K. and Duffy, B. R. 2015. Strongly coupled interaction between a ridge of fluid and an inviscid airflow. Physics of Fluids, Vol. 27, Issue. 7, p. 072104.

    Tao, Peng Shang, Wen Song, Chengyi Shen, Qingchen Zhang, Fangyu Luo, Zhen Yi, Nan Zhang, Di and Deng, Tao 2015. Bioinspired Engineering of Thermal Materials. Advanced Materials, Vol. 27, Issue. 3, p. 428.

    Wen, Rongfu Lan, Zhong Peng, Benli Xu, Wei and Ma, Xuehu 2015. Droplet dynamics and heat transfer for dropwise condensation at lower and ultra-lower pressure. Applied Thermal Engineering, Vol. 88, p. 265.

    Enright, Ryan Miljkovic, Nenad Alvarado, Jorge L. Kim, Kwang and Rose, John W. 2014. Dropwise Condensation on Micro- and Nanostructured Surfaces. Nanoscale and Microscale Thermophysical Engineering, Vol. 18, Issue. 3, p. 223.

    Hagemeier, Thomas Bordás, Róbert Zähringer, Katharina and Thévenin, Dominique 2014. Two-perspective fluorescence analysis of droplets creeping down a tilted plate. Experiments in Fluids, Vol. 55, Issue. 1,

    Janardan, Nachiketa and Panchagnula, Mahesh V. 2014. Effect of the initial conditions on the onset of motion in sessile drops on tilted plates. Colloids and Surfaces A: Physicochemical and Engineering Aspects, Vol. 456, p. 238.

    Madani, S. and Amirfazli, A. 2014. Oil drop shedding from solid substrates by a shearing liquid. Colloids and Surfaces A: Physicochemical and Engineering Aspects, Vol. 441, p. 796.

    Migliaccio, Christopher P. 2014. Resonance-induced condensate shedding for high-efficiency heat transfer. International Journal of Heat and Mass Transfer, Vol. 79, p. 720.

    Musterd, Michiel van Steijn, Volkert Kleijn, Chris R. and Kreutzer, Michiel T. 2014. Droplets on Inclined Plates: Local and Global Hysteresis of Pinned Capillary Surfaces. Physical Review Letters, Vol. 113, Issue. 6,

    Sauer, Roger A. 2014. Stabilized finite element formulations for liquid membranes and their application to droplet contact. International Journal for Numerical Methods in Fluids, Vol. 75, Issue. 7, p. 519.

    Semprebon, Ciro and Brinkmann, Martin 2014. On the onset of motion of sliding drops. Soft Matter, Vol. 10, Issue. 18, p. 3325.

  • Journal of Fluid Mechanics, Volume 395
  • September 1999, pp. 181-209

On the gravitational displacement of three-dimensional fluid droplets from inclined solid surfaces

  • P. DIMITRAKOPOULOS (a1) and J. J. L. HIGDON (a1)
  • DOI:
  • Published online: 01 September 1999

The yield conditions for the gravitational displacement of three-dimensional fluid droplets from inclined solid surfaces are studied through a series of numerical computations. The study considers both sessile and pendant droplets and includes interfacial forces with constant surface tension. An extensive study is conducted, covering a wide range of Bond numbers Bd, angles of inclination β and advancing and receding contact angles, θA and θR. This study seeks the optimal shape of the contact line which yields the maximum displacing force (or BTBd sin β) for which a droplet can adhere to the surface. The yield conditions BT are presented as functions of (Bd or β, θA, Δθ) where Δθ = θA − θR is the contact angle hysteresis. The solution of the optimization problem provides an upper bound for the yield condition for droplets on inclined solid surfaces. Additional contraints based on experimental observations are considered, and their effect on the yield condition is determined. The numerical solutions are based on the spectral boundary element method, incorporating a novel implementation of Newton's method for the determination of equilibrium free surfaces and an optimization algorithm which is combined with the Newton iteration to solve the nonlinear optimization problem. The numerical results are compared with asymptotic theories (Dussan V. & Chow 1983; Dussan V. 1985) and the useful range of these theories is identified. The normal component of the gravitational force BNBd cos β was found to have a weak effect on the displacement of sessile droplets and a strong effect on the displacement of pendant droplets, with qualitatively different results for sessile and pendant droplets.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *