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Dynamic Contact Angle of a Liquid Spreading on a Heated Plate



Dean C. Ripple


An equation determining the steady-state profile of a liquid meniscus advancing or receding across a heated plate is derived. The effects of liquid evaporation, intermolecular interaction with the plate, and thermocapillarity are included. Numerical and analytical estimates of the dynamic contact angle are calculated for water and the refrigerant 1,1,1,2 tetrafluoroethane. The dynamic contact angle depends primarily on three dimensionless parameters: one proportional to the velocity of the interface, one proportional to the rate of evaporation from the surface, and one proportional to the thermal coefficient of the liquid-vapor surface tension.
NIST Interagency/Internal Report (NISTIR) - 6351
Report Number


evaporation, intermolecular interaction, liquid evaporation, refrigerant, refrigerants, tetrafluoroethane, thermocapillarity


Ripple, D. (1999), Dynamic Contact Angle of a Liquid Spreading on a Heated Plate, NIST Interagency/Internal Report (NISTIR), National Institute of Standards and Technology, Gaithersburg, MD (Accessed July 18, 2024)


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Created June 1, 1999, Updated June 2, 2021