Mass transport though 8 $\mu $m thick solid helium samples without dislocation intersections

We have measured mass flow induced by fountain effect through 8 $\mu $m thick solid helium samples sandwiched between Vycor rods infused with superfluid. Since the network length of dislocation is on the order of the thickness of our sample, we expect the dislocation lines in the sample will be pinned at the Vycor surfaces without forming a complex network. Solid samples of successive higher pressures were grown from superfluid under a mass flow field. We confirm the presence of mass flow through solid helium and find that the mass flow decreases with increasing temperature and decays exponentially with pressure. In contrast to the results from the University of Mass., we found mass flow continues up to 1 K and pressure above 30 bar.