Potential Flow of Superfluid He-3 through a Nematic Aerogel of Spherical Shape

Potential flow of He-3 through a nematic aerogel of spherical shape is considered. A characteristic feature of the system under consideration is that the superfluid phases inside and outside the aerogel may be different. In particular, the cases are considered when the polar phase of superfluid He-3 is implemented inside the aerogel, while, outside the aerogel, there exists either the B or the A phase of superfluid He-3. Under the condition that the order parameter of the system is a continuous function of the spatial coordinate without singular points and lines on the aerogel surface, as well as that there are no Josephson currents through the aerogel surface, boundary conditions needed for the hydrodynamic description of the flow are obtained for the phase of the order parameter on the aerogel surface. With the use of these boundary conditions, the added mass tensor of the potential flow of a fluid is found in the cases under consideration. A comparison with available experimental data is made.