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    Hidden in plain sight: How evaporation impacts the pendant drop method

    Pim J. Dekker, Christian Diddens, Marjolein N. van der Linden*, and Detlef Lohse†

    • Physics of Fluids group, Department of Science and Technology, Max Planck Center for Complex Fluid Dynamics and J. M. Burgers Centre for Fluid Dynamics, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands

    • *Present address: Canon Production Printing Netherlands B.V., P.O. Box 101, 5900 MA Venlo, The Netherlands.
    • †Present address: Max Planck Institute for Dynamics and Self-Organization, Am Fassberg 17, 37077 Göttingen, Germany.

    Phys. Rev. Fluids 11, 094901 – Published 3 September, 2026

    DOI: https://doi.org/10.1103/9gd1-xljj

    Abstract

    The surface tension of a liquid, which drives most free-surface flows at small scales, is often measured with the pendant drop method due to its simplicity and reliability. When the drop is suspended in air, controlling the ambient temperature and humidity is usually an afterthought, resulting in evaporation of the drop during the measurement. Here, we investigate the effect of evaporation on the measured surface tension using experiments and numerical simulations. In the experiments, we measured the evolution of the droplet temperature, which can be drastically reduced by ΔT≈10∘C due to evaporative cooling, thereby altering the measured surface tension by more than 1 mN/m. This finding can be reproduced by numerical simulations, which additionally allow for controlled investigations of the individual influences of further effects on the pendant drop method, namely, shape deformations by evaporation-driven flows in the gas-phase and in the liquid-phase, including the resulting Marangoni flow. We provide a simple passive method to control the relative humidity without requiring additional instrumentation. Our findings are particularly pertinent to Marangoni flows, which are driven by surface tension gradients and which are consequently highly sensitive to measurement inaccuracies. We apply our method with different aqueous mixtures of glycerol and various diols. Our results and insights have implications for various applications, ranging from inkjet printing to agricultural sprays. Finally, we meticulously documented our setup and procedure for future reference.

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