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. 2017 Aug 11;29(37):373003. doi: 10.1088/1361-648X/aa7933

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© 2017 IOP Publishing Ltd

Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

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Figure 8. — Calculations of contact angles for ellipsoidal particles. (a) Contact angles that correspond to experimentally measured values [74] for $Δ u$ (shown in the inset) for several aspect ratios $b / a$ , see figure 7(c). The upper branch (red) is the solution for large $θ_{c}$ , while the lower branch (blue) is the solution for small $θ_{c}$ . (b) Contact angle branches as function of the aspect ratio for $Δ u / a = 0.043$ (left) and $Δ u / a = 0.23$ (right). (c) Ratio of projected area enclosed by the contact line for the contact angle $θ_{c}$ to the projected area enclosed by the contact line for $θ_{c} = 90^{\circ}$ , $S / S_{0}$ , for ellipsoidal particles with aspect ratios in the range $1.25 ⩽ b / a ⩽ 7$ . The data from [43] is plotted together with numerical data taken from [77]. For a spherical particle, $S / S_{0}$ varies as ${sin}^{2} θ_{c}$ , as shown by the solid line above. For all contact angles between $0^{\circ}$ and $90^{\circ}$ , $S / S_{0}$ attains higher values for ellipsoidal particles in comparison to the analytical estimate obtained for a spherical particle. Adapted with permission from [43]. Copyright (2014) American Chemical Society.

Figure 8. — Calculations of contact angles for ellipsoidal particles. (a) Contact angles that correspond to experimentally measured values [74] for $Δ u$ (shown in the inset) for several aspect ratios $b / a$ , see figure 7(c). The upper branch (red) is the solution for large $θ_{c}$ , while the lower branch (blue) is the solution for small $θ_{c}$ . (b) Contact angle branches as function of the aspect ratio for $Δ u / a = 0.043$ (left) and $Δ u / a = 0.23$ (right). (c) Ratio of projected area enclosed by the contact line for the contact angle $θ_{c}$ to the projected area enclosed by the contact line for $θ_{c} = 90^{\circ}$ , $S / S_{0}$ , for ellipsoidal particles with aspect ratios in the range $1.25 ⩽ b / a ⩽ 7$ . The data from [43] is plotted together with numerical data taken from [77]. For a spherical particle, $S / S_{0}$ varies as ${sin}^{2} θ_{c}$ , as shown by the solid line above. For all contact angles between $0^{\circ}$ and $90^{\circ}$ , $S / S_{0}$ attains higher values for ellipsoidal particles in comparison to the analytical estimate obtained for a spherical particle. Adapted with permission from [43]. Copyright (2014) American Chemical Society.