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The Thermocapillary, Marangoni, Convection Problem

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Convection in Fluids

Part of the book series: Fluid Mechanics and its Applications ((FMIA,volume 90))

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It seems very judicious (at least from my point of view) to quote again some remarks about ‘the dynamics of thin liquid films’ from the preface of the recent special issue of Journal of Engineering Mathematics [1]: A detailed understanding of flows in thin liquid films is important for a wide range of modern engineering processes. This is particularly so in chemical and process engineering, where the liquid films are encountered in heat-and-mass-tranfer devices (e.g. distillation columns and spinning-disk reactors), and in coating processes (e.g. spin coating, blade coating, spray painting and rotational moulding). In order to design these processes for safe and efficient operation it is important to build mathematical models that can predict their performance, to have confidence in the predictions of the models, and to be able to use the models to optimize the design and operation of the devices involved. Thin liquid films also occur in a variety of biological contexts. On the other hand, when liquids flow in thin films, the interface (free surface) between the liquid and surrounding (passive!) gas can adopt a rich variety of interesting waveforms — these shapes are determined by a balance of the principle driving forces, usually including gravity, (temperature-dependent Marangoni phenomena) surface tension and viscous effects.

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(2009). The Thermocapillary, Marangoni, Convection Problem. In: Convection in Fluids. Fluid Mechanics and its Applications, vol 90. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2433-6_7

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  • DOI: https://doi.org/10.1007/978-90-481-2433-6_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-2432-9

  • Online ISBN: 978-90-481-2433-6

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