Journal of Mathematical Fluid Mechanics

, Volume 20, Issue 4, pp 1701–1705 | Cite as

Experimental Confirmation of Predicted Rise Heights in a Surface Tension Configuration Introduced by Laplace

  • Rajat Bhatnagar
  • Wenbo Li
  • Sung Kwon Cho
  • Robert FinnEmail author


We develop numerical methods and experimental procedures to test theoretical predictions derived independently in Bhatnagar and Finn (The Laplace Parallel Plates Problem in Capillarity Theory. In adjoining issue, 2018) describing the rise height of fluid between two parallel plates immersed in a fluid bath. Our experimental methods use an electrowetting-on-dielectric configuration that enables precise electrical control of contact angle and provides a way to test the theory across a range of contact angles. We present detailed quantitative comparisons of numerical, theoretical, and experimental results, finding agreement among all methods.


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Compliance with Ethical Standards

Conflict of interest

The authors declare that they have no conflicts of interest.

Supplementary material

Supplemental Video 1. As voltage increases, the contact angles on both plates decrease and in accordance with equation (A6), the fluid between the plates rises.


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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Rajat Bhatnagar
    • 1
  • Wenbo Li
    • 2
  • Sung Kwon Cho
    • 2
  • Robert Finn
    • 3
    Email author
  1. 1.Verge GenomicsSan FranciscoUSA
  2. 2.Mechanical Engineering and Materials ScienceUniversity of PittsburghPittsburghUSA
  3. 3.Mathematics DepartmentStanford UniversityStanfordUSA

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