TAKESHI MIYAZAKI
| Emeritus Professor etc. | Emeritus Professor |
| Center for Community Relations | Emeritus Professor |
Researcher Information
Research Keyword
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Research Activity Information
Paper
- Influence of Curvature on Drag Reduction by Opposition Control in Turbulent Flow Along a Thin Cylinder
S. Hara; H. Mamori; T. Miyazaki
International Journal of Heat nad Fluid Flow, Elsevier, 85, 108622, 1-15, 01 Jul. 2020, Peer-reviwed
Scientific journal, English - Experimental and Computational Study of Archery Arrows Fletched with Straight Vanes
J. Ortiz; A. Serino; T. Hasegawa; T. Onoguchi; H. Maemukai; T. Miyazaki; H. Sugiura
Proceedings of 13th Conference of the International Sports Engineering Association, Online, 22-26 June 2020, International Sports Engineering Association, 49, 56, 15 Jun. 2020, Peer-reviwed
International conference proceedings, English - Numerical Simulation of Wind Drift of Arrows on the Olympic Venue for Tokyo 2020
J. Ortiz; M. Ando; T. Miyazaki
Athens Journal of Sports, 7, 1, 1-20, Mar. 2020, Peer-reviwed
Scientific journal, English - アーチェリー矢の側面境界層流れの線形不安定性
長谷川俊成; 宮嵜武; 田中健太郎; 高橋直也; 岩津玲麿
ながれ（日本流体力学会誌）, 日本流体力学会, 38, 3, 208-217, 20 Jun. 2019, Peer-reviwed
Scientific journal, Japanese - Computation of the trajectory and attitude of arrows suject to background wind
J. Ortiz; M. Ando; K. Murayama; T. Miyazaki; H. Sugiura
Sports Engineering, Springer, online, Feb. 2019, Peer-reviwed
Scientific journal, English - Uniformity study of two-functional luminescent dyes adsorbed over an anodized aluminum coating for motion-capturing pressure-and temperature-sensitive paint imaging
Masato Ishii; Takeshi Miyazaki; Hirotaka Sakaue
Sensors (Switzerland), MDPI AG, 18, 1, s18010026, 01 Jan. 2018, Peer-reviwed, The pressure-and temperature-sensitive paint (PSP/TSP) technique, for steady-state and unsteady-state measurements, is becoming widespread. However, unsteady quantitative measurement is still difficult because non-uniform distribution of the probes over a test model may cause errors in the results. We focus on the dipping method that applies two luminophores into a binding material to improve sensitivity uniformity over a model surface. A bullet-shaped axisymmetric test model with motion-capturing TSP was used to evaluate the sensitivity uniformity, and three dipping methods (static, convectional, and rotational) were examined. The average peak ratios in the longitudinal direction were 1.17-1.46 for static, 1.38-1.51 for convectional, and 1.42-1.45 for rotational dipping. The standard deviations in the transverse direction were the smallest for rotational (0.022-0.033), relative to static (0.086-0.104), and convectional (0.044-0.065) dipping.
Scientific journal, English - Indeterminacy of drag exerted on an arrow in free flight: arrow attitude and laminar-turbulent transition
T. Miyazaki; T. Matsumoto; R. Ando; J. Ortiz; H. Sugiura
European Journal of Physics, IOP Publishing, 38, 064001, 1-19, Oct. 2017, Peer-reviwed
Scientific journal, English - Automatic spin measurements for pitched Baseball via consumergrade high-speed cameras
T. Ijiri; A. Nakamura; A. Hirabayashi; W. Sakai; T. Miyazaki; R. Himeno
Signal Image and Video Processing, Springer, on line, 1-18, 22 Feb. 2017, Peer-reviwed
Scientific journal, English - Lift crisis of a spinning table tennis ball
T. Miyazaki; W. Sakai; T. Komatsu; N. Takahashi; R. Himeno
European Journal of Physics, IOP Publishing, 38, 024001, 1-16, Jan. 2017, Peer-reviwed
Scientific journal, English - Atittude of an Archery Arrow in Free Flight
T. Miyazaki; T. Matsumoto; R. Ando; H. Sugiura
Proceedings of the 31st International Congress on High-Speed Imaging and Photonics, Organazing Committee of 31st International Congress on High-Speed Imaging and Photonics, USB, 810-818, 07 Nov. 2016
International conference proceedings, English - 磁力支持を用いた火星探査カプセルの動安定計測
高橋智也; 杉浦裕樹; 渡辺礼奈; 安藤龍; 宮嵜武; 手塚亜聖
航空宇宙技術（日本航空宇宙学会オンラインジャーナル）, 日本航空宇宙学会, 1-10, 06 Nov. 2016, Peer-reviwed
Scientific journal, Japanese - Clustering, Enstrophy Growth and Vortex Dynamics of the High Energy (Negative Temperature) State in Quasi-Geostrophic Turbulence
Naoya Takahashi; Keitaro Ishikawa; Takeshi Miyazaki; Nozomu Hatakeyama; Yuji Hattori
Proceedings of the Thirteenth International Conference on Flow Dynamics (ICFD2016), IFS Tohoku Univ., 508-509, 10 Oct. 2016
International conference proceedings, English - Clustering and Entropy Growth of Quasi-geostrophic Point Vortices
T. Miyazaki; M. Ishihara; Y. Konno; N. Takahashi
Proc. 24th International Congress of Theoretical and Applied Mechanics, WEB, 1443-1444, 21 Aug. 2016
International conference proceedings, English - Vortex dynamics of the high energy (negative temperature) state in quasi-geostrophic turbulence
M. Ishihara; N. Takahashi; T. Miyazaki; N. hatakeyama; Y. Hattori
Proceedings of the 15th International Symposium on Advanced Fluid Information, Institute of Fluid Science, Tohoku University, 166-167, 28 Oct. 2015, Invited
International conference proceedings, English - Wind Tunnel Test of an Archery Arrow with JAXA 60-cm Magnetic Suspension and Balance System
R. Ando; T. Matsumoto; T. Miyazaki; H. Sugiura
Proceedings of 12th International Conference on Fluid Dynamics (USB), USB, 416-417, 27 Oct. 2015
International conference proceedings, English - Surface Pressure/Temperature Measurement of Free-Flight Object by Motion-Capturing PSP/TSP
M. Ishii; Y. Yamada; H. Goya; T. Miyazaki; H. Sakaue
Proc. 30th International Symposium on Space Technology and Science, 2015, e-59, 04 Jul. 2015, Peer-reviwed
International conference proceedings, English - Statistical Mechanics of Quasi-geostrophic Vortices
Takeshi Miyazaki
The 8th CREST-SBM: International Conference on Mathematical Fluid Dynamics, Present and Future, CREST, 6-6, 14 Nov. 2014, Invited
Symposium, English - Vortex dynamics of the high energy (negative temperature) state in quasi-geostrophic turbulence
M.Ishihara; N. Takahashi; T.Miyazaki; N. Hatakeyama; Y.Hattori
Proc. 11th International Conference on Flow Dynamics, 11, 174-175, 09 Oct. 2014
International conference proceedings, English - Time-Resolved Temperature Mapping of Water Mixing Process by Dual-Luminescent Imaging
Hideki Goya; Takeshi Miyazaki; Hirotaka Sakaue
Proc. the 16th International Symposium on Flow Visualization(ISFV16), 10, 1, 000-000, 24 Jun. 2014, Peer-reviwed
International conference proceedings, English - 軌道の特徴量を用いたボールの空力係数の推定
安田海人; 坪井一洋; 田中晃平; 宮嵜武
日本機械学会論文集, 日本機械学会, 80, 814, 1-10, 21 Jun. 2014, Peer-reviwed, We investigate estimation methods of aerodynamic coefficients for a ball in sports by using characteristic quantities of its trajectory. One method is based on the quantities representing the whole shape of trajectory while the other utilizes local quantities such as curvature and/or torsion. In the former, the flight distance and the maximum height are measured, and the motion equation predicts numerical values of these quantities with measured initial conditions and preset aerodynamic coefficients. Then the optimal combination of the aerodynamic coefficients is determined by minimizing the error between the measured and estimated values of the characteristic quantities. This method is applied to estimate drag and lift coefficients of a soccer ball in back-spinning, and the result shows that the averaged values of CD and CL are 0.205 and 0.237, respectively. In the latter method, the expressions between the aerodynamic coefficients and the geometrical quantities of trajectory are derived, which suggests that the piecewise quadratic interpolation on a trajectory provides the aerodynamic coefficients. This method enables to locally estimate the coefficients, and therefore clarifies the variation of the coefficients along a trajectory. Measured data for a table tennis ball is analyzed with the method and we obtain successfully the drag and lift coefficients in flight condition. The results indicate the qualitative difference of spinning effect in drag and lift coefficients.
Scientific journal, Japanese - Pressure/Temperature Measurement of a Free-Flight Object by PSP/TSP
M.Ishii; Y.Yamada; T.Miyazaki; H.Sakaue
Proc. AIAA Atmospheric Flight Mechanics Conference, AIAA, 2542, 1-8, 16 Jun. 2014, Peer-reviwed
International conference proceedings, English - Temperature Cancellation Method of Motion-Capturing PSP System
Y.Yamada; T.Okab; T.Miyazaki; H.Sakaue
Proc. 30th AIAA Aerodynamic Measurement Technology and Ground Testing Conference, AIAA, 2942, 1-11, 16 Jun. 2014, Peer-reviwed
International conference proceedings, English - 卓球ボールの空力特性
田中晃平; 福重貴之; 宮嵜武; 姫野龍太郎
ながれ（日本流体力学会誌）, 33, 1, 37-45, Feb. 2014, Peer-reviwed
Scientific journal, Japanese - Global Pressure and Temperature Measurements of Ballistic-Range Testing by PSP and TSP Techniques
H.Sakaue; Y.Iijima; Y.Yamada; T.Miyazaki; M.Ishii
Proc.52nd Aerospace Sciences Meeting, AIAA SciTech, 1407, 1-10, 13 Jan. 2014, Peer-reviwed
International conference proceedings, English - Free flight and wind tunnel measurements of the drag exerted on an archery arrow
K. Okawa; Y. Komori; T. Miyazaki; S. Taguchi; H. Sugiura
The Impact of Technology on Sport V, Proc. 6th Asia-Pacific Congress on Sports Technology (APCST2013), held at Hong Kong during 18-20, Sept. 2013, 5, 67-72, Sep. 2013, Peer-reviwed
International conference proceedings, English - A motion-capturing pressure-sensitive paint method
Hirotaka Sakaue; Kensuke Miyamoto; Takeshi Miyazaki
J. Appl. Phys., 113, 084901, Feb. 2013, Peer-reviwed
Scientific journal, English - Aerodynamic properties of an archery arrow
Takeshi Miyazaki; Keita Mukaiyama; Yuta Komori; Kyouhei Okawa; Satoshi Taguchi; Hiroki Sugiura
Sports Engineering, 16, 1, 43-54, 2013, Peer-reviwed, Two support-interference-free measurements of aerodynamic forces exerted on an archery arrow (A/C/E
Easton Technical Products) are described. The first measurement is conducted in a wind tunnel with JAXA's 60 cm Magnetic Suspension and Balance System, in which an arrow is suspended and balanced by magnetic force against gravity. The maximum wind velocity is 45 m/s, which is less than a typical velocity of an arrow (about 60 m/s) shot by an archer. The boundary layer of the arrow remains laminar in the measured Re number range (4.0 × 103 <
Re <
1.5 × 104), and the drag coefficient is about 1.5 for Re >
1.0 × 104. The second measurement is performed by a free flight experiment. Using two high-speed video cameras, we record the trajectory of an archery arrow and analyze its velocity decay rate, from which the drag coefficient is determined. In order to investigate Re number dependence of the drag coefficient in a wider range (9.0 × 103 <
Re <
2.4 × 104), we have developed an arrow-shooting system using compressed air as a power source, which launches the A/C/E arrow at an arbitrary velocity up to 75 m/s. We attach two points (piles) of different type (streamlined and bullet) to the arrow-nose. The boundary layer is laminar for both points for Re less than about 1.2 × 104. It becomes turbulent for Re larger than 1.2 × 104 and the drag coefficient increases to about 2. 6, when the bullet point is attached. In the same Re range, two values of drag coefficient are found for the streamlined point, of which the lower value is about 1.6 (laminar boundary layer) and the larger value is about 2. 6 (turbulent boundary layer), confirming that the point-shape has a crucial influence on the laminar to turbulent transition of the boundary layer. © 2012 International Sports Engineering Association.
Scientific journal, English - A Temperature-Cancellation Method for Motion-Capturing PSP System and Its Application to a Hypersonic Wind Tunnel
Okabe, T; Miyazaki, T; Sakaue, H
Proc. of 28th International Symposium on Shock Waves, Springer Berlin Heidelberg, 1, 599-606, Jun. 2012, Peer-reviwed
International conference proceedings, English - Maximum Entropy States of Quasi-geostrophic Point Vortices
T. Miyazaki; T. Sato; N. Takahashi
Phys. Fluids, 24, 5, 056601-1-15, May 2012, Peer-reviwed
Scientific journal, English - Maximum entropy state of the quasi-geostrophic bi-disperse point vortex system: bifurcation phenomena under periodic boundary conditions
S. Funakoshi; T. Sato; T. Miyazaki
Fluid Dynamics Research, 44, 031407-1-13, Mar. 2012, Peer-reviwed
Scientific journal, English - A temperature-cancellation method of pressure-sensitive paint on porous anodic alumina using 1-Pyrenesulfonic acid
Hirotaka Sakaue; Takuma Kuriki; Takeshi Miyazaki
JOURNAL OF LUMINESCENCE, ELSEVIER SCIENCE BV, 132, 2, 256-260, Feb. 2012, Peer-reviwed, A temperature-cancellation method of pressure-sensitive paint is introduced. It uses an intermediate wavelength of two luminescent peaks, which are opposite in the temperature dependency. 1-Pyrenesulfonic acid is used as a luminophore to describe this method, which is applied onto a porous anodic alumina using the dipping deposition. The concentration of the luminophore solution is varied from 0.001 to 0.09 mM. It controlled the luminescent peak ratio, temperature cancelled wavelength, and pressure sensitivity. The cancellation wavelength is ranged from 429 +/- 13 to 493 +/- 23 nm. An optical band-pass filter with the temperature cancellation can be also provided by controlling the concentration. (C) 2011 Elsevier B.V. All rights reserved.
Scientific journal, English - A Numerical Study of the Effect of Large Deformations of a Trailing Vortex on Its Breakdown
N. Takahashi; T. Miyazaki; N. Hatakeyama; Y. Hattori
Proceedings of the 11th International Symposium on Advanced Fluid Information and Trans-disciplinary Fluid Integration, 146-147, Nov. 2011
International conference proceedings, English - Aerodynamic properties of an arrow: Influence of point shape on the boundary layer transition
K. Mukaiyama; K. Suzuki; T. Miyazaki; H. Sawada
The Impact of Technology on Sport IV Proc. of 5th Asia-Pacific Congress on Sports Technology, 4, 265-270, Aug. 2011, Peer-reviwed
International conference proceedings, English - Equilibrium State of Quasi-geostrophic Point Vortices of Mixed Sign
S. Funakoshi; T. Sato; T. Miyazaki
Proc. of Fourth International Symposium on Bifurcations and Instabilities in Fluid Dynamics, CD-R, 148, Jul. 2011, Peer-reviwed
International conference proceedings, English - Equilibrium State of Quasi-geostrophic Point Vortices of Mixed Sign
S. Funakoshi; T. Sato; T. Miyazaki
Proc. of Fourth International Symposium on Bifurcations and Instabilities in Fluid Dynamics, CD-R, Jul. 2011, Peer-reviwed
International conference proceedings, English - Motion-Capturing PSP System for Flutter Application
T. Okabe; T. Miyazaki; K. Saitoh; H. Sakaue
Proc. of 41st AIAA Fluid Dynamics Conference and Exhibit, CDR, Jun. 2011, Peer-reviwed
International conference proceedings, English - Influence of external flow field on the equilibrium state of quasi-geostrophic point vortices
T. Miyazaki; T. Sato; H. Kimura; N. Takahashi
GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS, TAYLOR & FRANCIS LTD, 105, 4-5, 392-408, 2011, Peer-reviwed, The influence of external flow field on the statistical equilibrium state of quasi-geostrophic point vortices (vortex cloud) is investigated numerically. The numerical computations are performed using the fast special-purpose computer for molecular dynamics simulations, MDGRAPE-3. The equilibrium state in otherwise quiescent fluid is axisymmetric, whose radial distribution depends on both the vertical distribution of vortices P(z) and the total energy of the vortex system E. At a certain critical energy value E(c), the number of microscopic state with a given angular momentum attains its maximum (zero-inverse temperature state), where the radial distribution is Gaussian at any vertical height. When the energy is smaller (E < E(c): positive temperature), the radial distribution becomes flatter than the Gaussian. In contrast, if the energy is higher (E > E(c): negative temperature), the radial distribution becomes sharper showing tighter concentration near the axis of symmetry. If an equilibrium vortex cloud of positive temperature is immersed in the horizontal strain field U(e) = ey, V(e) = ex, the vortex distribution is stretched in the gamma-direction, and the azimuthally averaged radial distribution becomes Gaussian-like. Similarly, when the equilibrium state of positive temperature is immersed in the vertical shear field U(tau) = tau z, V(tau) = 0, the vortex cloud is tilted in the gamma-direction, and the radial distribution becomes Gaussian-like. These findings explain how the internal vorticity distributions inside interacting vortex clouds of positive temperature change to be nearly zero-inverse temperature state.
Scientific journal, English - Drag Crisis of a Hard Baseball
K. Uchizno; T. Fukujyu; T. Miyazaki; R. Himeno; S. Obayashi
Proceedings of the Tenth International Symposium on Advanced Fluid Information and Trans-disciplinary Fluid Integration, 156-157, Nov. 2010
International conference proceedings, English - Areodynamic Properties of an Arrow - Influence of Point-shape on the Boundary Layer Transition -
K. Suzuki; K. Masui; K. Mukaiyama; T. Miyazaki; H. Sawada
ながれ（日本流体力学会誌）, 29, 4, 287-296, Aug. 2010, Peer-reviwed
Scientific journal, Japanese - Simultaneous Reference- and Signal-Imaging for Cancellation of Unsteady Motion in Pressure-Sensitive Paint Measurement
K. Miyamoto; T. Miyazaki; H. Sakaue
Bulletin of the American Physical Society, 54, 19, 83, Nov. 2009, Peer-reviwed
International conference proceedings, English - Influence of external flow field on the equilibrium state of quasi-geostrophic point vortices
T. Miyazaki; T. Sato; H. Kimura; N. Takahashi
Proc. 2nd International Conference on High-Reynolds Number Vortex Interactions, held in Brest (France), 26, Sep. 2009, Peer-reviwed
International conference proceedings, English - Negative Magnus Force Exerted on a Back-spinning Spherical Body - Mesearment by Flight Experiments -
Keita Takami; Takeshi Miyazaki; Ryutaro Himeno
ながれ（日本流体力学会誌）, 日本流体力学会, 28, 4, 347-356, Aug. 2009, Peer-reviwed, ピッチングマシンにより投球されたバックスピンストレートボールを,高速度ビデオカメラを用いて撮影し,その抗力係数および揚力係数を求めた.試験球には縫目のない真球と日本プロ野球公認球を用いた.測定は,0.6×10^5が正から負へと切り替わるRe-SP領域を捉え,『負のマグナス効果』の発生を確認した.一方,硬式野球ボールでは『負のマグナス効果』は確認できなかった.また,真球と硬式野球ボールの空力特性を比較して,縫目が空力特性に及ぼす影響を議論する.Using a high-speed video camera, we measured the trajectory and the rotation of a sphere and a hard baseball thrown by a pitching machine. We determined the drag- and lift- coefficients (C_D,C_ ) by analyzing the video images. The measurements were performed in the range of 0.6×10^5
Scientific journal, Japanese - Temperature-Cancelled Anodized-Aluminum Pressure-Sensitive Paint for Unsteady Pressure Field Measurement
T. Kuriki; T. Miyazaki; H. Sakaue
61st Annual Meeting of the APS Division of Fluid Dynamics 2008, 61, 1, 111, Nov. 2008
International conference proceedings, English - Drag Crisis of Gyro-balls
Yoshiyuki Yokoyama; Takeshi Miyazaki; Ryutaro Himeno
ながれ（日本流体力学会誌）, 27, 5, 403-409, Oct. 2008, Peer-reviwed
Scientific journal, Japanese - Statistics of quasi-geostrophic point vortices
Shintaro Hoshi; Takeshi Miyazaki
FLUID DYNAMICS RESEARCH, ELSEVIER SCIENCE BV, 40, 9, 662-678, Sep. 2008, Peer-reviwed, The statistics of quasi-goeostrophic point vortices is investigated theoretically and numerically, in order to understand fundamental aspects of quasi-geostrophic turbulence. The numerical computations are performed using the fast special-purpose computer for molecular dynamics simulations. MDGRAPE-2/3. The most probable vortex distributions are determined based on the maximum entropy theory. The theoretical predictions agree well with the numerical results. (C) 2008 The Japan Society of Fluid Mechanics and Elsevier B.V. All rights reserved.
Scientific journal, English - The influence of turbulence on a columnar vortex with axial flow
Naoya Takahashi; Takeshi Miyazaki
Proc. of XXII International Congress of Theoretical and Applied Mechanics (held at Adelaide), 184, Aug. 2008, Peer-reviwed
International conference proceedings, English - Chaotic mixing around a quasi-geostrophic ellipsoidal vortex
Yingtai Li; Kensei Sakamoto; Naoya Takahashi; Takeshi Miyazaki
ながれ（日本流体力学会誌）, Japan Society of Fluid Mechanics, 27, 1, 51-63, Feb. 2008, Peer-reviwed, In geophysical flows, coherent vortex structures persist and their interactions dominate the scalar transport as well as the dynamics of turbulence. Meacham (1992) and Meacham et al.(1994) obtained exact unsteady solutions of the quasi-geostrophic equation, which represent an ellipsoidal vortex patch of uniform potential vorticity. In this paper, we investigate the scalar transport around the ellipsoidal vortex patch, both theoretically (based on the Melnikov analysis) and numerically. An inclined spheroidal vortex rotates steadily around the vertical axis, and any fluid particle moves along a closed trajectory in the coordinates rotating with the spheroidal vortex. There are heteroclinic orbits in the plane of symmetry and homoclinic orbits in other horizontal planes. We can observe chaotic mixing in the vicinity of these orbits, if the spheroid is deformed slightly.
Scientific journal, Japanese - Drag Crisis of Gyro-balls
Y. Yokoyama; T. Miyazaki; R. Himeno
BULLETIN of the American Physical Society American Physical Society Division of Fluid Dynamics, Annual Meeting 2007, 52, 17, 256, Nov. 2007
International conference proceedings, English - Statistical Mechanics of Quasi-geostrophic Mono- and Poly-disperse Point Vortex Systems
S. Hoshi; Y. Li; N. Takahashi; T. Miyazaki
Proc. of The Fifth International Conference on Fluid Mechanics, 395-398, Aug. 2007, Peer-reviwed
International conference proceedings, English - Statistics of Quasi-geostrophic Vortex Patches
T. Miyazaki; Y. Li; H. Taira; S. Hoshi; N. Takahashi
IUTAM Symposium on Computational Physics and New Perspectives in Turbulence, 411-416, Oct. 2006, Peer-reviwed
International conference proceedings, English - Refinements on the quasi-geostrophic ellipsoidal vortex model
Y. Li; H. Taira; N. Takahashi; T. Miyazaki
Phys. Fluids, 18, 7, 076604-8, Jul. 2006, Peer-reviwed
Scientific journal, English - 野球ボールに働く空気力の測定
谷口哲也; 宮嵜武; 清水鉄也; 姫野龍太郎
ながれ（日本流体力学会誌）, 25, 3, 257-264, Jun. 2006, Peer-reviwed
Scientific journal, Japanese - 斜め淀み線流によるエッチング加工
杉野文弘; 宮嵜武
ながれ（日本流体力学会誌）, 25, 3, 239-246, Jun. 2006, Peer-reviwed
Scientific journal, Japanese - Measurement of aerodynamic forces exerted on baseballs using a high-speed video camera
T.Taniguchi; T.Miyazaki; T.Shimizu; R.Himeno
The Impact of Technology on Sport Asia-Pacific Congress on Sports Technology held at Tokyo, 269-275, Sep. 2005, Peer-reviwed
International conference proceedings, English - Point, spheroidal and ellipsoidal vortex models of quasi-geostrophic turbulence
T.Miyazaki; Y.Li; H.Taira; N.Takahashi
International Conference on High Re-number Vortex Interaction held at Toulouse, CD-ROM, Aug. 2005, Peer-reviwed
International conference proceedings, English - 付着液滴の表面張力振動にともなう混合現象
M. Suzuki; N. Takahashi; T. Miyazaki; N. Aoyama
ながれ（日本流体力学会誌）, The Japan Society of Fluid Mechanics, 24, 2, 205-206, Apr. 2005, Peer-reviwed, It is known experimentally that capillary oscillations of a sessile drop cause efficient mixing inside these drop. In this paper we investigate the mixing phenomena theoretically. We determine the dispersion relation of eigen oscillations of a sessile drop (a hemisphere). Particle trajectories and density of makers associated with these oscillations are computed numerically. It is found that an efficient mixing occurs only when more than two modes are combined.
Scientific journal, Japanese - The influence of turbulence on a columnar vortex
N. Takahashi; H. Ishii; T. Miyazaki
Phys. Fluids, 17, 3, 035105 1-14, Mar. 2005, Peer-reviwed
Scientific journal, English - Refinements on the quasi-geostrophic wire-vortex model
T.Miyazaki; H.Taira; T.Niwa; N.Takahashi
J. Phys. Soc. Japan, 74, 1, 359-367, Jan. 2005, Peer-reviwed
Scientific journal, English - Vortex Based Models of Quasi-geostrophic Turbulence
T.Miyazaki; W.Qin; Y.Li
21st ICTAM2004(CD-ROM), Aug. 2004, Peer-reviwed
International conference proceedings, English - Interaction between a columnar vortex and external turbulence
N.Takahashi; T.Miyazaki
ICTAM2004 held at Warsaw, CD-ROM, Aug. 2004, Peer-reviwed
International conference proceedings, English - Quasi-geostrophic Confocal Spheroidal Vortices: PartII Oblate Spheroids
T.Miyazaki; T. Fujiwara; S.Sato; N.Takahashi
Computational Fluid Dynamics Journal, 13, 3, 496-514, 2004, Peer-reviwed
Scientific journal, English - Quasigeostrophic Confocal Spheroidal Vortices
T. Miyazaki; T. Fujiwara; M.Yamamoto
J. Phys. Soc. Japan, 72, 11, 2786-2803, Nov. 2003, Peer-reviwed
Scientific journal, English - Counter-Rotating Quasigeostrophic Ellipsoidal Vortex Pair
T. Miyazaki; M. Yamamoto; S. Fujishima
J. Phys. Soc. Japan, 72, 8, 1948-1962, Aug. 2003, Peer-reviwed
Scientific journal, English - Quasigeostrophic Ellipsoidal Vortices: Instability, Interaction and Scalar Mixing
T.Miyazaki; W.Qin; K.Sakamoto
IUGG2003(CD-ROM), 2003
International conference proceedings, English - 秩序渦と乱流場の相互作用について
高橋直也; 石井宏幸; 山本稀義; 宮嵜武
ながれマルチメディア（日本流体力学会誌）, 21, 6, 497-498, Dec. 2002, Peer-reviwed
Scientific journal, Japanese - Numerical Validation of Quasigeostrophic Ellipsoidal Vortex Model
T. Miyazaki; A. Asai; M. Yamamoto; S. Fujishima
J. Phys. Soc. Japan, 71, 10, 2687-2699, Oct. 2002, Peer-reviwed
Scientific journal, English - Quasigeostrophic Ellipsoidal Vortex Model
T.Miyazaki; Y.Furuichi; N.Takahashi
J. Phys. Soc. Japan, 70, 7, 1942-1953, Jul. 2001, Peer-reviwed
Scientific journal, English - エッチング加工法における流動現象
西中川遵; 杉野文弘; 宮嵜 武
ながれ（日本流体力学会誌）, The Japan Society of Fluid Mechanics, 20, 2, 116-126, Apr. 2001, Peer-reviwed, Wet chemical ethching is used for making microscopical products like lead frames, printed wiring boards, shadow masks and so on. We investigate numerically fluid dynamical aspects and mass transport phenomena nearby the etching cavity, using a standard two dimensional MAC method. Etching is assumed to be limited by removal of the dissolution products away from the vicinity of the active suface. In addition, the shape evolution of etching cavity is computed in a quasistationary manner.
Scientific journal, Japanese - Quasigeostrophic wire-vortex model
T. Miyazaki; M. Shimada; N. Takahashi
J. Phys. Soc. Japan, 69, 10, 3233-3243, Oct. 2000, Peer-reviwed
Scientific journal, English - Linear and nonlinear interactions between a columnar vortex and external turbulence
T Miyazaki; JCR Hunt
JOURNAL OF FLUID MECHANICS, CAMBRIDGE UNIV PRESS, 402, 349-378, Jan. 2000, Peer-reviwed, The structure of initially isotropic homogeneous turbulence interacting with a columnar vortex (with circulation Gamma and radius sigma), idealized both as a solid cylinder and a hollow core model is analysed using the inhomogeneous form of linear rapid distortion theory (RDT), for flows where the r.m.s. turbulence velocity u(0) is small compared with Gamma/sigma. The turbulent eddies with scale L are distorted by the mean velocity gradient and also, over a distance L from the surface of the vortex, by their direct impingement onto it, whether it is solid or hollow. The distortion of the azimuthal component of turbulent vorticity by the differential rotation in the mean flow around the columnar vortex causes the mean-square radial velocity away from the cylinder to increase as (Gamma t/2 pi r(2))(2)(L-x/r)u(0)(2), when (r - sigma) > L-x, but on the surface of the vortices ((r - sigma) < L-x) where (u(r)(2)) is reduced, (u(z)(2)) increases to the same order, while the other components do not grow. Statistically, while the vorticity field remains asymmetric, the velocity field of small-scale eddies near the vortex core rapidly becomes axisymmetric, within a period of two or three revolutions of the columnar vortex. Calculation of the distortion of small-scale initially random velocity fields shows how the turbulent eddies, as they are wrapped around the columnar vortex, become like vortex rings, with similar properties to those computed by Melander & Hussain (1993) using a fully nonlinear direct numerical simulation. A mechanism is proposed for how interactions between the external turbulence and the columnar vortex can lead to non-axisymmetric vortex waves being excited on the vortex and damped fluctuations in its interior. If the columnar vortex is not significantly distorted by these linear effects, estimates are made of how nonlinear effects lead to the formation of axisymmetric turbulent vortices which move as result of their image vorticity (in addition to the self-induction velocity) at a velocity of order u(0)t Gamma/sigma(2) parallel to the vortex. Even when the circulation (gamma) of the turbulent vortices is a small fraction of Gamma, they can excite self-destructive displacements through resonance on a time scale sigma/u(0).
Scientific journal, English - Quasigeostrophic ellipsoidal vortices in a two-dimensional strain field
H. Hashimoto; T. Shimonish; T. Miyazaki
J. Phys. Soc. Japan, 68, 12, 3683-3880, Dec. 1999, Peer-reviwed
Scientific journal, English - Quasigeostrophic tilted spheroidal vortices
T. Miyazaki; K. Ueno; T. Shimonishi
J. Phys. Soc. Japan, 68, 8, 2592-2601, Aug. 1999, Peer-reviwed
Scientific journal, English - Short-wavelength instabilities of waves in rotating stratified fluids
T Miyazaki; K Adachi
PHYSICS OF FLUIDS, AMER INST PHYSICS, 10, 12, 3168-3177, Dec. 1998, Peer-reviwed, Standing and propagating plane waves in a rigidly rotating stably stratified fluid are considered. Based on a WKB analysis, it is shown numerically that almost all of them are unstable with respect to three-dimensional short-wavelength perturbations. The waves whose wavenumber vector is parallel to the axis of rotation and stratification are stabilized as the Brunt-Vaisala frequency N (normalized by the angular velocity of rigid rotation) increases, whereas the inclined waves are unstable at any N. These instabilities are caused by parametric resonances of low order (first and second) and the instability growth rate is determined theoretically, when the wave amplitude is small,(C) 1998 American Institute of Physics. [S1070-6631(98)00412-7].
Scientific journal, English - Rankine結合渦中の気泡の形状と安定性
齋藤秀亮; 宮嵜 武
ながれ(日本流体力学会誌), 17, 6, 432-443, Dec. 1998, Peer-reviwed
Scientific journal, Japanese - Three-dimensional Instabilities of Waves in Rotating Fluids
T. Miyazaki; A. Lifschitz
J. Phys. Soc. Japan, 67, 4, 1226-1233, Apr. 1998, Peer-reviwed
Scientific journal, English - A new class of instabilities in rotaing fluids, Euromech Colloquim 364 - Dynamics and Statistics of Concentrated Vortices in Turbulent Flows
A.Lifschitz; T.Miyazaki; B.Fabijonas
Eur. J. Mech. B / Fluids, 17, 4, 605-613, 1998, Peer-reviwed
Scientific journal, English - The quasi-three-dimensional instability of an elliptical vortex subject to a strain field in a rotating stratified fluid
T Miyazaki; K Hirahara; H Hanazaki
FLUID DYNAMICS RESEARCH, ELSEVIER SCIENCE BV, 21, 5, 359-380, Nov. 1997, The linear instability of a steady elliptical vortex in a stably stratified rotating fluid is investigated, using the quasi-geostrophic, f-plane approximation. The vortex is embedded in a uniform background straining field e with uniform vorticity 2 gamma (the Moore-Saffman vortices). An elliptical vortex in an irrotational strain field (gamma = 0) is shown to be unstable to long wave quasi-three-dimensional disturbances of azimuthal wavenumber m = 1 (bending wave). The long wave instability has a two-dimensional origin. An elliptical vortex in a simple shear, whose major axis is parallel to the shear streamlines (e = gamma), is stable against any disturbance. In contrast, an ellipse in a simple shear, whose major axis is perpendicular to the shear streamlines (e = -gamma), is unstable to quasi-three-dimensional bending modes irrespective of a/b. Short wave quasi-three-dimensional disturbances grow faster than two-dimensional instability modes in the parameter range -0.5 < gamma < 0. The origin of short wave instability is attributed to resonance between inertial waves and the imposed strain field e.
Scientific journal, English - Generalized Moore-Saffman Vortices
T. Miyazaki; K. Hirahara; H. Hashimoto
J. Phys. Soc. Japan, 66, 9, 2682-2688, Sep. 1997, Peer-reviwed
Scientific journal, English - 下面加熱矩型ダクト内混合対流の線形不安定性解析
山田純; 宮嵜武; 細川巌
ながれ（日本流体力学会誌）, 日本流体力学会, 15, 5, 417-427, Oct. 1996, Peer-reviwed
Scientific journal, Japanese - Local stability of two-dimensional steady irrotational solenoidal flows with closed streamline
Y. Fukumoto; T. Miyazaki
J. Phys. Soc. Japan, 65, 1, 107-113, Jan. 1996
Scientific journal, English - Stability of a capillary jet with linearly increasing parabolic axial velocity
T. Miyazaki; T. Kubo
J. Phys. Soc. Japan, 64, 9, 3275-3283, Sep. 1995
Scientific journal, English - 時間周期的に変動するストレイン場における渦の不安定性
宮嵜武; 新井博幸
ながれ（日本流体力学会誌）, 14, 1, 51-61, Feb. 1995, Peer-reviwed
Scientific journal, Japanese - Three-dimensional instability of Kirchhoff's elliptic vortex
T. Miyazaki; T. Imai; Y. Fukumoto
Phys. Fluids A, 7, 1, 195-202, Jan. 1995, Peer-reviwed
Scientific journal, English - BAROCLINIC INSTABILITY OF KIRCHHOFF ELLIPTIC VORTEX
T MIYAZAKI; H HANAZAKI
JOURNAL OF FLUID MECHANICS, CAMBRIDGE UNIV PRESS, 261, 253-271, Feb. 1994, Peer-reviwed, The linear instability of Kirchhoff's elliptic vortex in a vertically stratified rotating fluid is investigated using the quasi-geostrophic, f-plane approximation. Any elliptic vortex is shown to be unstable to baroclinic disturbances of azimuthal wavenumber m = 1 (bending mode) and m = 2 (elliptical deformation). The axial wavenumber of the unstable bending mode approaches lambda(c) = 1.7046 in the limit of small ellipticity, indicating that it is a short-wave baroclinic instability. The instability occurs when the bending wave rotates around the vortex axis with angular velocity identical to the rotation rate of the undisturbed elliptic vortex. On the other hand, the wavenumber of the elliptical deformation mode approaches zero in the same limit, showing that it is a long-wave sideband instability.
Scientific journal, English - Elliptical instability in a stably stratified rotating fluid
T. Miyazaki
Phys. Fluids A, A5, 11, 2702-2709, Nov. 1993, Peer-reviwed
Scientific journal, English - 楕円型シリンダー内のスワール流の不安定性-ピストン往復運動とスワールの共鳴
佐久間勝司; 今井健; 宮嵜武
ながれ（日本流体力学会誌）, 12, 3, 302-313, Jun. 1993, Peer-reviwed
Scientific journal, Japanese - Three-dimensional instability of strained vortices in a stably stratified fluid
T. Miyazaki; Y. Fukumoto
Phys. Fluids A, A4, 11, 2515-2522, Nov. 1992, Peer-reviwed
Scientific journal, English - Parametric excitation of buoyancy oscillation and formation of internal boundary layers in a stably stratified fluid
T. Miyazaki
Phys. Fluids A, A4, 10, 2145-2150, Oct. 1992, Peer-reviwed
Scientific journal, English - Axisymmetric waves on a vertical vortex in a stratified fluid
T. Miyazaki; Y. Fukumoto
Phys. Fluids A, A3, 4, 606-616, Apr. 1991, Peer-reviwed
Scientific journal, English - Three-dimensional distortions of a vortex filament with axial velocity
Yasuhide Fukumoto
Journal of Fluid Mechanics, 222, 369-416, 1991, Peer-reviwed, Three-dimensional motion of a thin vortex filament with axial velocity, embedded in an inviscid incompressible fluid, is investigated. The deflections of the core centreline are not restricted to be small compared with the core radius. We first derive the equation of the vortex motion, correct to the second order in the ratio of the core radius to that of curvature, by a matching procedure, which recovers the results obtained by Moore &
Saffman (1972). An asymptotic formula for the linear dispersion relation is obtained up to the second order. Under the assumption of localized induction, the equation governing the self-induced motion of the vortex is reduced to a nonlinear evolution equation generalizing the localized induction equation. This new equation is equivalent to the Hirota equation which is integrable, including both the nonlinear Schrödinger equation and the modified KdV equation in certain limits. Therefore the new equation is also integrable and the soliton surface approach gives the N-soliton solution, which is identical to that of the localized induction equation if the pertinent dispersion relation is used. Among other exact solutions are a circular helix and a plane curve of Euler's elastica. This local model predicts that, owing to the existence of the axial flow, a certain class of helicoidal vortices become neutrally stable to any small perturbations. The non-local influence of the entire perturbed filament on the linear stability of a helicoidal vortex is explored with the help of the cutoff method valid to the second order, which extends the first-order scheme developed by Widnall (1972). The axial velocity is found to discriminate between right and left-handed helices and the long-wave instability mode is found to disappear in a certain parameter range when the successive turns of the helix are not too close together. Comparison of the cutoff model with the local model reveals that the non-local induction and the core structure are crucial in making quantitative predictions. © 1991, Cambridge University Press. All rights reserved.
Scientific journal, English - 平板近傍に浮遊する球粒子に及ぼす熱泳動力
神吉達夫; 宮嵜武; 植田洋匡
化学工学論文集, The Society of Chemical Engineers, Japan, 16, 4, 739-746, 1990, Peer-reviwed, Temperature and thermal creep flow fields around a spherical particle drifting in a gas with a linear temperature gradient near a plate are analyzed by taking account of the temperature jump and frictional velocity slip. Calculated values of the thermophoretic force at various distances from the plate are shown aganst Knudsen numbers in the slip-continuum region. In comparison with Brock's formula for a particle in an infinite expance of gas, effects of the plate on the isotherms, flow patterns, and thermophoretic force are clarified. The force is increased by the temperature jump and is reduced by the velocity slip. The creep flow is subject to positive or negative effects of the plate depending on the thermal conductivity of the particle. The thermophoretic force increses gradually as the particle approaches the plate, being followed by a sharper increase when closer to the plate, whereas the drifting velocity decreases owing to the frictional force increasing much faster than the thermophoretic force.
Scientific journal, Japanese - 平板に接触した気泡周辺の流体の流れ
神吉達夫; 浅野強; 井内哲; 宮嵜武; 植田洋匡
化学工学論文集, 15, 4, 824-831, 1989, Peer-reviwed
Scientific journal, Japanese - N-Solitons on a curved vortex filament with axial flow
T. Miyazaki; Y. Fukumoto
J. Phys. Soc. Japan, 57, 10, 3365-3370, Oct. 1988, Peer-reviwed
Scientific journal, English - Three-dimensional distortions of a vortex filament : Exact solutions of the localized induction equation
Y. Fukumoto; T. Miyazaki
Fluid Dynamics Res., 3, 1-4, 157-162, 1988, Peer-reviwed
Scientific journal, English - Diffusion equation coupled to Burgers' equation
Takeshi Miyazaki
Fluid Dynamics Research, 2, 1, 25-33, 1987, Peer-reviwed, Scalar diffusion in one-dimensional Burgers' flow is considered. When the Prandtl number is unity, the diffusion equation with convective term is reduced to a simple diffusion equation by a generalized Cole-Hopf transformation. An exact solution of an initial value problem is obtained in a closed form. When the Prandtl number is arbitrary, a similar analytical treatment is possible for limited classes of Burgers' flow (expansion wave and single shock). The statistics of scalar field are discussed briefly. © 1987.
Scientific journal, English - N-Solitons on a curved vortex filament
Y. Fukumoto; T. Miyazaki
J. Phys. Soc. Japan, 55, 12, 4152-4155, Dec. 1986, Peer-reviwed
Scientific journal, English - AXISYMMETRICAL PROBLEM OF VORTEX SOUND WITH SOLID-SURFACES
T MIYAZAKI; T KAMBE
PHYSICS OF FLUIDS, AMER INST PHYSICS, 29, 12, 4006-4015, Dec. 1986, Peer-reviwed
Scientific journal, English - On thermophoresis of relatively large aerosol particles suspended near a plane
T. Kanki; S. Iuchi; T. Miyazaki; H. Ueda
J. Coll. Int. Sci., 107, 2, 418-428, Feb. 1985, Peer-reviwed
Scientific journal, English - The effect of a circular disk on the motion of a small particle in a viscous fluid
T. Miyazaki
J. Phys. Soc. Japan, 53, 3, 1017-1025, Mar. 1984, Peer-reviwed
Scientific journal, English - TIME-DEPENDENT THERMAL-CONVECTION IN A STABLY STRATIFIED FLUID LAYER HEATED FROM BELOW
H UEDA; S KOMORI; T MIYAZAKI; H OZOE
PHYSICS OF FLUIDS, AMER INST PHYSICS, 27, 11, 2617-2623, 1984, Peer-reviwed
Scientific journal, English - THE MOTION OF A SMALL SPHERE IN FLUID NEAR A CIRCULAR HOLE IN A PLANE WALL
T MIYAZAKI; H HASIMOTO
JOURNAL OF FLUID MECHANICS, CAMBRIDGE UNIV PRESS, 145, AUG, 201-221, 1984, Peer-reviwed
Scientific journal, English - The effect of a semi-infinite plane on the motion of a small particle in a viscous fluid
H. Hasimoto; M. Kim; T. Miyazaki
J. Phys. Soc. Japan, 52, 6, 1996-2003, Jun. 1983, Peer-reviwed
Scientific journal, English - STOCKESLET PERPENDICULAR TO A PLANE WALL WITH A CIRCULAR HOLE
T MIYAZAKI; H HASIMOTO
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, PHYSICAL SOCIETY JAPAN, 51, 7, 2343-2349, 1982, Peer-reviwed
Scientific journal, English - Separation of creeping flow past two circular cylinders
T. Miyazaki; H. Hasimoto
J. Phys. Soc. Japan, 49, 4, Apr. 1980, Peer-reviwed
Scientific journal, English
MISC
- 卓球とアーチェリーにおける流体力学
宮嵜 武
日本流体力学会, 25 Jun. 2020, ながれ（日本流体力学会誌）, 39, 3, 138-144, Japanese, Peer-reviwed, Invited, Introduction scientific journal - 身近なながれの制御
宮嵜武; 守裕也
日本流体力学会, 25 Dec. 2019, ながれ（日本流体力学会誌）, 38, 6, 443-448, Japanese, Peer-reviwed, Invited, Introduction scientific journal - アーチェリー矢の流体力学：A/C/E矢とX10矢の飛翔姿勢
宮嵜 武
バイオメカニクス学会, 10 Mar. 2018, バイオメカニクス研究, 21, 4, 174-179, Japanese, Invited, Introduction scientific journal - アーチェリー矢の流体力学
宮嵜 武
日本機械学会, Jul. 2016, 日本機械学会誌, 119, 1172, 20-21, Japanese, Invited, Introduction scientific journal - 飛翔する弾丸の表面圧力・温度分布計測
山田有希; 宮嵜武; 石井将人; 坂上博隆
Dec. 2013, ながれ（日本流体力学会誌）, 32, 6, 427-432, Japanese, Introduction other - 矢の空力特性に対する細長比の影響
大川恭平; 田口智清; 宮嵜武; 杉浦裕樹
Dec. 2013, ながれ（日本流体力学会誌）, 32, 6, 449-456, Japanese, Introduction other - 矢と流体力学
宮嵜 武
Jun. 2012, 油空圧技術, 51, 6, 30-36, Japanese, Introduction other - Recent Studies on Quasi-geostrophic Vortices
Takeshi Miyazaki
Oct. 2008, ながれ（日本流体力学会誌）, 27, 5, 397-402, Japanese, Introduction other - キルヒホッフの惰円渦の傾圧不佐定性-解説-
宮嵜武
Apr. 1995, ながれ, 14, 2, 105-113, Japanese, Introduction other
Books and other publications
- Mathematical Fluid Dynamics, Present and Future
T. Miyazaki; Y. Shimoda; K. Saga
Scholarly book, English, Joint work, Capter 16 Statistical Mechanics of Quasi-geostrophic Vortices, Springer, 2016, 9784431564553 - ユニーク＆エキサイティング サイエンスII
宮脇陽一; 瀧真清; 坂本真樹; 宮嵜武; 牧昌次郎; 大河原一憲
Japanese, Joint work, 第４章 魔球の謎を解き明かせ！ スポーツ流体力学のすすめ, 近代科学社, Nov. 2013 - IUTAM SYMPOSIUM ON TURBULENCE IN THE ATMOSPHERE AND OCEANS IUTAM Bookseries, 2010, Volume 28, Part 3
T. Miyazaki; H. Kimura; S. Hoshi
English, Joint work, Equilibrium States of Quasi-geostrophic Point Vortices, Springer, 2010 - Vortices, Waves and Turbulence in a Rotating Stratified Fluid
T.Miyazaki; T. Fujiwara; M.Yamamoto; W.Qin; H. Hanazaki
English, Joint work, CGER'S SUPERCOMPUTER MONOGRAPH REPORT Vol.9, 2004 - 地球を診る：大気はいま
宮嵜武; 羽絵かげひこ; 森有子
Japanese, Supervisor, 丸善, Dec. 1989
Lectures, oral presentations, etc.
- アーチェリー矢の流体力学最前線
宮嵜武
Nominated symposium, Japanese, 日本機械学会2015年度年次大会ワークショップ「スポーツ科学技術最前線」, Invited, 日本機械学会, 北海道大学, Domestic conference
14 Sep. 2015 - Statistical Mechanichs of Quaasi-geostrophic Vortices
Takeshi Miyazaki
Invited oral presentation, English, International Conference on Mathematical Fluid Mechanics, Invited, 早稲田大学, 早稲田大学, International conference
14 Nov. 2014 - Maximum entropy states of quasi-geostrophic point vortices of mixed sign under periodic boundary conditions
Takeshi Miyazaki; Hironori Miyamoto; Satoshi Funakoshi
Invited oral presentation, English, International Conference "Turbulence and Wave Processes", Lomonosov Moscow State University, International conference
Nov. 2013 - Equilibrium States of Quasi-geostrophic Point Vortices
T. Miyazaki; H. Kimura; S. Hoshi
Invited oral presentation, English, Rotating Stratified Turbulence and Turbulence in the Atmosphere and Oceans, IUTAM, Cambridge, UK, International conference
Dec. 2008
Courses
- 流体力学
早稲田大学 - ベクトル解析
早稲田大学 - 力学II
東京農工大学 - 力学
東京農工大学 - 工学基礎数学および演習
The University of Electro-Communications - ベクトル解析
早稲田大学 - ベクトル解析
早稲田大学 - 流体力学
早稲田大学 - 流体力学
早稲田大学 - 力学II
東京農工大学 - 力学II
東京農工大学 - 力学
東京農工大学 - 力学
東京農工大学 - 工学基礎数学および演習
The University of Electro-Communications - 工学基礎数学および演習
電気通信大学 - 力学系現象特論
The University of Electro-Communications - 力学演習
The University of Electro-Communications - 力学
The University of Electro-Communications - 物理学概論第二
The University of Electro-Communications - 物理学概論第二
電気通信大学 - 知能機械工学専攻基礎
The University of Electro-Communications - 知能機械工学専攻基礎
電気通信大学 - 応用数学
The University of Electro-Communications - 力学および演習
The University of Electro-Communications - 力学系現象特論
The University of Electro-Communications - 力学系現象特論
電気通信大学 - 力学演習
The University of Electro-Communications - 力学演習
電気通信大学 - 力学
The University of Electro-Communications - 力学
電気通信大学 - 応用数学
The University of Electro-Communications - 応用数学
電気通信大学 - 力学および演習
The University of Electro-Communications - 力学および演習
電気通信大学