  We study the Josephson oscillation and self trapping dynamics of a
cigar-shaped dipolar Bose-Einstein condensate of $^{52}$Cr atoms polarized
along the symmetry axis of an axially-symmetric double-well potential using the
numerical solution of a mean-field model, for dominating repulsive contact
interaction (large positive scattering length a) over an anisotropic dipolar
interaction. Josephson-type oscillation emerges for small and very large number
of atoms, whereas self trapping is noted for an intermediate number of atoms.
The dipolar interaction pushes the system away from self trapping towards
Josephson oscillation. We consider a simple two-mode description for a
qualitative understanding of the dynamics.
