Walls Inhibit Chaotic Mixing

by: E Gouillart, N Kuncio, O Dauchot, B Dubrulle, S Roux, JL Thiffeault

Physical Review Letters, Vol. 99, No. 11. (2007)

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Abstract

We report on experiments of chaotic mixing in a closed vessel, in which a highly viscous fluid is stirred by a moving rod. We analyze quantitatively how the concentration field of a low-diffusivity dye relaxes towards homogeneity, and we observe a slow algebraic decay of the inhomogeneity, at odds with the exponential decay predicted by most previous studies. Visual observations reveal the dominant role of the vessel wall, which strongly influences the concentration field in the entire domain and causes the anomalous scaling. A simplified 1D model supports our experimental results. Quantitative analysis of the concentration pattern leads to scalings for the distributions and the variance of the concentration field consistent with experimental and numerical results.

@article{citeulike:1658716, abstract = {We report on experiments of chaotic mixing in a closed vessel, in which a highly viscous fluid is stirred by a moving rod. We analyze quantitatively how the concentration field of a low-diffusivity dye relaxes towards homogeneity, and we observe a slow algebraic decay of the inhomogeneity, at odds with the exponential decay predicted by most previous studies. Visual observations reveal the dominant role of the vessel wall, which strongly influences the concentration field in the entire domain and causes the anomalous scaling. A simplified 1D model supports our experimental results. Quantitative analysis of the concentration pattern leads to scalings for the distributions and the variance of the concentration field consistent with experimental and numerical results.}, author = {Gouillart, E. and Kuncio, N. and Dauchot, O. and Dubrulle, B. and Roux, S. and Thiffeault, J. L. }, citeulike-article-id = {1658716}, doi = {10.1103/PhysRevLett.99.114501}, journal = {Physical Review Letters}, keywords = {chaos, lagrangian, mixing}, number = {11}, posted-at = {2007-09-14 20:42:46}, priority = {2}, publisher = {APS}, title = {Walls Inhibit Chaotic Mixing}, url = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal\&id=PRLTAO000099000011114501000001\&idtype=cvips\&gifs=yes}, volume = {99}, year = {2007} }

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TY - JOUR ID - citeulike:1658716 L3 - citeulike-article-id:1658716 TI - Walls Inhibit Chaotic Mixing JF - Physical Review Letters VL - 99 IS - 11 PB - APS N2 - We report on experiments of chaotic mixing in a closed vessel, in which a highly viscous fluid is stirred by a moving rod. We analyze quantitatively how the concentration field of a low-diffusivity dye relaxes towards homogeneity, and we observe a slow algebraic decay of the inhomogeneity, at odds with the exponential decay predicted by most previous studies. Visual observations reveal the dominant role of the vessel wall, which strongly influences the concentration field in the entire domain and causes the anomalous scaling. A simplified 1D model supports our experimental results. Quantitative analysis of the concentration pattern leads to scalings for the distributions and the variance of the concentration field consistent with experimental and numerical results. KW - chaos KW - lagrangian KW - mixing AU - Gouillart, E AU - Kuncio, N AU - Dauchot, O AU - Dubrulle, B AU - Roux, S AU - Thiffeault, JL PY - 2007/// UR - http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PRLTAO000099000011114501000001&idtype=cvips&gifs=yes ER -

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