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Non-isothermal spreading of liquid drops on horizontal plates

Published online by Cambridge University Press:  26 April 2006

Peter Ehrhard  and
Stephen H. Davis
Peter Ehrhard
Affiliation:
Institut für Reaktorbauelemente, Kernforschungszentrum Karlsruhe GmbH Postfach 3640, D-7500 Karlsruhe 1, Germany
Stephen H. Davis
Affiliation:
Department of Engineering Sciences and Applied Mathematics, McCormick School of Engineering and Applied Science, Northwestern University, Evanston, IL 60208, USA
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Abstract

A viscous-liquid drop spreads on a smooth horizontal surface, which is uniformly heated or cooled. Lubrication theory is used to study thin drops subject to capillary, thermocapillary and gravity forces, and a variety of contact-angle-versus-speed conditions. It is found for isothermal drops that gravity is very important at large times and determines the power law for unlimited spreading. Predictions compare well with the experimental data on isothermal spreading for both two-dimensional and axisymmetric configurations. It is found that heating (cooling) retards (augments) the spreading process by creating flows that counteract (reinforce) those associated with isothermal spreading. For zero advancing contact angle, heating will prevent the drop from spreading to infinity. Thus, the heat transfer serves as a sensitive control on the spreading.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 229 , August 1991 , pp. 365 - 388
Copyright
© 1991 Cambridge University Press

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