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Behavior of Rotating Stall Cell in a High Specific-Speed Diagonal Flow Fan
Shiomi, Norimasa,Cai, W.X.,Muraoka, A.,Kaneko, K.,Setoguchi, T. The Korean Society of Mechanical Engineers 2001 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.15 No.12
An experimental investigation was carried out to clarify unsteady flow fields with rotating stall cell, especially behavior of stall cell, in a high specific-speed diagonal flow fan. As its specific-speed is vary high for a diagonal flow fan, its pressure-flow rate curve tends to indicate unstable characteristics caused by rotating stall similar to axial flow fan. Although for an axial flow fan many researchers have investigated such the flow field, for a diagonal flow fan tittle study has been done. In this study, velocity fields at rotor Inlet in a high specific-speed diagonal flow fan were measured by use of a single slant hot-wire probe. These data were processed by using the "Double Phase-Locked Averaging"(DPLA) technique, i. e. phases of both the rotor blade and the stall cell were taken into account. The behaviors of stall cell at rotor inlet were visualized for the meridional, tangential and radial velocity.
Vortex Features in a Half-ducted Axial Fan with Large Bellmouth (Effect of Tip Clearance)
Shiomi, Norimasa,Kinoue, Yoichi,Setoguchi, Toshiaki,Kaneko, Kenji Korean Society for Fluid machinery 2011 International journal of fluid machinery and syste Vol.4 No.3
In order to clarify the features of tip leakage vortex near blade tip region in a half-ducted axial fan with large bellmouth, the experimental investigation was carried out using a 2-dimensional LDV system. Three sizes of tip clearance (TC) were tested: those sizes were 1mm (0.55% of blade chord length at blade tip), 2mm (1.11% of blade chord length at blade tip) and 4mm (2.22% of blade chord length at blade tip), and those were shown as TC=1mm, TC=2mm and TC=4mm, respectively. Fan characteristic tests and the velocity field measurements were done for each TC. Pressure - flow-rate characteristics and two-dimensional velocity vector maps were shown. The vortex trace and the vortex intensity distribution were also illustrated. As a result, a large difference on the pressure - flow-rate characteristics did not exist for three tip clearance sizes. In case of TC=4mm, the tip leakage vortex was outflow to downstream of rotor was not confirmed at the small and reference flow-rate conditions. Only at the large flow-rate condition, its outflow to downstream of rotor existed. In case of TC=2mm, overall vortex behaviors were almost the same ones in case of TC=4mm. However, the vortex trace inclined toward more tangential direction. In case of TC=1mm, the clear vortex was not observed for all flow-rate conditions.
ON THE RELATIVE ZETA FUNCTION IN FUNCTION FIELDS
Shiomi, Daisuke Korean Mathematical Society 2012 대한수학회논문집 Vol.27 No.3
In the previous paper [8], the author gave a determinant formula of relative zeta function for cyclotomic function fields. Our purpose of this paper is to extend this result for more general function fields. As an application of our formula, we will give determinant formulas of class numbers for constant field extensions.
THE p-PART OF DIVISOR CLASS NUMBERS FOR CYCLOTOMIC FUNCTION FIELDS
Daisuke Shiomi Korean Mathematical Society 2023 대한수학회논문집 Vol.38 No.3
In this paper, we construct explicitly an infinite family of primes P with h<sup>±</sup><sub>P</sub> ≡ 0 (mod q<sup>deg</sup> <sup>P</sup>), where h<sup>±</sup><sub>P</sub> are the plus and minus parts of the divisor class number of the P-th cyclotomic function field over 𝔽<sub>q</sub>(T). By using this result and Dirichlet's theorem, we give a condition of A, M ∈ 𝔽<sub>q</sub>[T] such that there are infinitely many primes P satisfying with h<sup>±</sup><sub>P</sub> ≡ 0 (mod p<sup>e</sup>) and P ≡ A (mod M).