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GEOMETRIC RANK AND THE TUCKER PROPERTY
Otera, Daniele Ettore Korean Mathematical Society 2017 대한수학회지 Vol.54 No.3
An open smooth manifold is said of finite geometric rank if it admits a handlebody decomposition with a finite number of 1-handles. We prove that, if there exists a proper submanifold $W^{n+3}$ of finite geometric rank between an open 3-manifold $V^3$ and its stabilization $V^3{\times}B^n$(where $B^n$ denotes the standard n-ball), then the manifold $V^3$ has the Tucker property. This means that for any compact submanifold $C{\subset}V^3$, the fundamental group ${\pi}_1(V^3-C)$ is finitely generated. In the irreducible case this implies that $V^3$ has a well-behaved compactification.
SOME ALGEBRAIC AND TOPOLOGICAL PROPERTIES OF THE NONABELIAN TENSOR PRODUCT
Otera, Daniele Ettore,Russo, Francesco G.,Tanasi, Corrado Korean Mathematical Society 2013 대한수학회보 Vol.50 No.4
Several authors investigated the properties which are invariant under the passage from a group to its nonabelian tensor square. In the present note we study this problem from the viewpoint of the classes of groups and the methods allow us to prove a result of invariance for some geometric properties of discrete groups.
( Yuichiro Otera ),( Haruki Inoue ),( Takehiko Seo ),( Masato Mikami ),( Shinji Watanabe ),( Masato Tamura ) 한국액체미립화학회 2010 한국액체미립화학회 학술강연회 논문집 Vol.2010 No.-
More viscous fuels such as residual oil tend to be burned in boilers. However, the use of high viscous fuels in conventional plants will degrade combustion characteristics, such as combustion efficiency and emission characteristics, which greatly depend on the fuel spray characteristics. The present study investigated the effects of the fluid viscosity and the atomizing air flow rate on the spray characteristics of a Y-jet atomizer. The test liquid and atomizing gas were aqueous glycerol solutions and air, respectively. Spray shape was visualized at different axial positions by using short-exposure backlight method. Droplet size and velocity were measured by a Phase Doppler Particle Analyzer (PDPA).The results show that the spray shape was similar to hollow-cone regardless of viscosity and air flow rate. Spatial distribution of total droplet volume measured by PDPA per minute had the maximum value at the opposite side of test liquid supply line. The largest Sauter mean droplet diameter (SMD) existed at the side of test liquid supply line. SMD increased with the test liquid viscosity. On the other hand, as the atomizing air flow rate was increased, SMD decreased.
Some algebraic and topological properties of the nonabelian tensor product
Daniele Ettore Otera,Francesco G. Russo,Corrado Tanasi 대한수학회 2013 대한수학회보 Vol.50 No.4
Several authors investigated the properties which are invariant under the passage from a group to its nonabelian tensor square. In the present note we study this problem from the viewpoint of the classes of groups and the methods allow us to prove a result of invariance for some geometric properties of discrete groups.
GEOMETRIC RANK AND THE TUCKER PROPERTY
Daniele Ettore Otera 대한수학회 2017 대한수학회지 Vol.54 No.3
An open smooth manifold is said of \textit{finite geometric rank} if it admits a handlebody decomposition with a finite number of 1-handles. We prove that, if there exists a proper submanifold $W^{n+3}$ of finite geometric rank between an open 3-manifold $V^3$ and its stabilization $V^3 \times B^n$ (where $B^n$ denotes the standard $n$-ball), then the manifold $V^3$ has the \textit{Tucker property}. This means that for any compact submanifold $C\subset V^3$, the fundamental group $\pi_1 (V^3 - C)$ is finitely generated. In the irreducible case this implies that $V^3$ has a well-behaved compactification.
The effect of ambient air flows on spray characteristics of a pressure atomizer
( Haruki Inoue ),( Yuichiro Otera ),( Takehiko Seo ),( Masato Mikami ),( Kimiyoshi Satoh ) 한국액체미립화학회 2010 한국액체미립화학회 학술강연회 논문집 Vol.2010 No.-
This research investigated the effect of the inner-swirl and outer-swirl flows arranged around a pressure atomizer on the spray characteristics. Water and air were used as a test liquid and an ambient gas, respectively. Spray shape was visualized by using laser tomographic method. Droplet-size and velocity were measured using a phase Doppler particle analyzer (PDPA). The air velocity was measured by PDPA using a tracer particle. The results showed that the spray shape was a hollow-cone. In the case with the inner-swirl flow, Sauter mean diameter and spray angle were small as compared with the case without inner-swirl flow. On the other hand, when the air was supplied as the outer-swirl flow, Sauter mean diameter was relatively large, while the spray angle was relatively constant and spray sheet became thinner. Recirculation zone was generated around the center of the hollow-cone spray. In the case with inner-swirl and outer-swirl flow, droplets size was relatively small. The supply of inner-swirl flow made the circulation region shift downstream.