(a) Side view images of a 2 μL surface-ascending water droplet under different inclination angles θ (40°, 90°, 130°, and 180°) moving along the gradient with ψ = 8° and L = 12 mm. (b) A time sequence of top view images of a self-directed subnanoliter water droplet (0.21 nL) moving on a device with an array of circulating wedge-shape gradients. The dashed line indicates the coverage area of the gradients with the detailed dimensions shown in the enlarged view (after photoresist development) of the device. The arrows indicate the position of the droplet of which is transient (reprinted with permission from ref. 101, Copyright 2009, American Institute of Physics).