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. 2019 Sep 2;10:3952. doi: 10.1038/s41467-019-11842-1

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© The Author(s) 2019

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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Fig. 5 — Influence of the solid wall on the velocity field. Components of the flow field [(a): u_x(x, y = 0); (b) u_y(x = 0, y)] in the equatorial plane of the Janus sphere, calculated using the expression obtained by the singularities expansion in free space (see Supplementary Note 2), the singularities expansion and their images that account for the presence of a no-slip wall (Eq. (6)) and the exact solution in free space, for the boundary condition at the surface of the colloid v(θ) given in Eq. (5)