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Power laws for sizes and growth times of double-diffusive convection cells

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Kötter,  Karsten
Max Planck Institute of Molecular Physiology, Max Planck Society;

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Markus,  Mario
Sonstige Wissenschaftliche Organisationseinheiten, Max Planck Institute of Molecular Physiology, Max Planck Society;

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Citation

Kötter, K., & Markus, M. (2002). Power laws for sizes and growth times of double-diffusive convection cells. International Journal of Heat and Mass Transfer, 45(25): 1, pp. 5045-5051. Retrieved from http://dx.doi.org/10.1016/S0017-9310(02)00212-0.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0014-0DB4-F
Abstract
We perform quantitative investigations of double-diffusive convection in a setup that is extremely easy to implement and to observe. In this setup, a drop (containing a surfactant, as destabilizing substance, and glycerine, as stabilizing substance, stirred in water) is injected at the bottom of a dish filled with water. After a few minutes, surfactant cells are formed. Later, fingers transporting surfactant grow upwards at the vertices of these cells. The size of the cells and their growth time T-em are observed with a light microscopes also, these quantities are estimated analytically and determined from PDE simulations. We obtain power laws for the dependence of A and T-em on the initial concentration of the stabilizing substance; the exponents in these laws are widely independent of the experimental conditions and on the model assumptions. (C) 2002 Elsevier Science Ltd. All rights reserved.