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The author wishes to thank Michael Sun of South African College Junior School, Cape Town, for taking the picture in Figure
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Figure 1
(Color online) (a) Typical wrinkling of elastic film; (b) typical capillary wrinkling of elastic film. The problem is to find the deformation wrinkling pattern pair $(N,\ell)$, where the wrinkling number is $N$ and the wrinkling length is $\ell$.
Figure 2
(Color online) Spreading of a drop on a film surface in a total wetting regime. Tanner's law: $\theta_\text{D}\sim~t^{-3/10}$. In this paper, we obtained $r~\sim~t^{-3/5}$.
Figure 3
(Color online) (a) Liquid drops of increasing size on a sheet of film. Gravity causes the largest drops to flatten. (b) Equilibrium of the forces (per unit length of the line of contact) act on the edge of a puddle. $\tilde{P}=(1/2)\rho~g~e^2=-S$ is the hydrostatic pressure. The equilibrium of forces that act on the line of contact, $\gamma(1-\cos~\theta_\text{D})~=(1/2)\rho~g~e^2$, gives the thickness $e=2\kappa^{-1}\sin~(\theta_\text{D}/2)$, where the capillary length, $\kappa^{-1}=\sqrt{\gamma/(\rho~g)}$.
Figure 4
(Color online) (a) Capillary wrinkling length dynamics $\ell^*=\ell/\left[\bigg(\frac{K}{\gamma}\bigg)^{1/2}\kappa^{-1}\bigg(\frac{\Omega^{1/3}}{V^*}\bigg)^{3/5}\right]$; (b) capillary wrinkling number dynamics $N^*=N/\left[(\frac{\gamma}{D})^{1/4}\sqrt{\kappa^{-1}}\bigg(\frac{\eta~\Omega^{1/3}}{\dot{\gamma}}\bigg)^{3/10}\right]$.
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