  We study the motion of the Gaussian obstacle potential created by blue
detuned laser beam through a phase-separated binary condensate in
pancake-shaped traps. For the velocity of the obstacle above a critical
velocity, we observe the generation of vortex dipoles in the outer component
which can penetrate the inner component. This is equivalent to finite, although
small, transport of outer component across the inner component. In the inner
component, the same method can lead to the formation of coreless vortex
dipoles.
