Hiroaki Shimomura

Measurement of mass flow rate of polymer powder based on static electrification of particles

Measurement of mass flow rate of polymer powder in a gas-solids pipe flow was investigated theoretically and experimentally. The measurement was based on the static electrification of the flowing particles. In the system, two current detecting pipes made of different materials were used and mass flow rates were calculated from the two generated currents. Since polymer powder formed a stiff coating layer on the hard surface of metallic pipes by particle collision, several polymer materials were examined as to the detecting pipes and the performance of the current detection was evaluated by changing the powder flow rate. It was found that electrically conductive polymers containing carbon had superior stability for the current detection. It was also found that the mass flow rate of polymer powder could be measured by use of two different conductive polymers for the detecting pipes.

Unitary Representations of the Group of Diffeomorphisms via Restricted Product Measures with Infinite Mass II

This paper concerns the problem of irreducibly decomposing unitary representations of the group Diff0(M) of diffeomorphisms with compact support on the smooth manifold M . As was shown in [19], these representations are decomposable under a fairly mild condition. In this paper, we consider a specific example of unitary representations (T, Diff0(M)) that has been considered by [4]. (T, Diff0(M)) is already a factor representation of type II∞; in addition, it may be decomposed into irreducible components through the left regular representation of the group S∞ of finite permutations. We describe concrete realization of these irreducible components. The results obtained herein bear some resemblance to the finite-dimensional case of [20] with the exception of the factor representation. In addition in the Appendix, we will give another proof of the irreducibility and equivalence that were obtained in [4]. 2010 Mathematics Subject Classification: Primary 58D05; Secondary 22E65.