| Paper Abstract and Keywords |
| Presentation |
2011-11-09 14:55
On the Possibility of Augmented Lorenz Equations as Turbulent Large-Scale Circulation Model Takaya Miyano, Kenichiro Cho, Toshiyuki Toriyama (Ritsumeikan Univ.) NLP2011-102 |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
We have recently developed a chaotic gas turbine whose rotational motion may oversimplify and simulate the dynamical behavior of the Rayleigh-B'{e}nard convection heated from below and cooled from above. The nondimensionalized expression of the equations of motion governing the motion of the turbine rotor is mathematically equivalent to an augmented version of the Lorenz equations, where $N$ ($N rightarrow infty$) Lorenz subsystems form a starlike network sharing the X variable as the central node representing the dimensionless angular velocity of the rotor with $2N$ peripheral nodes representing the sinusoidal and cosinusoidal coefficients for spatial Fourier expansion of the dynamic pressure of air inflow into the turbine. In this study, we discuss the possibility of the augmented Lorenz model as a turbulent large-scale circulation model for the Rayleigh-Bénard convection with high Rayleigh numbers $> sim 10^{10}$. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
Lorenz equations / Chaotic gas turbine / Augmented Lorenz equations / Thermal convection / Large-scale circulation / Turbulence / / |
| Reference Info. |
IEICE Tech. Rep., vol. 111, no. 276, NLP2011-102, pp. 61-64, Nov. 2011. |
| Paper # |
NLP2011-102 |
| Date of Issue |
2011-11-02 (NLP) |
| ISSN |
Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 |
Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
| Download PDF |
NLP2011-102 |
| Conference Information |
| Committee |
NLP |
| Conference Date |
2011-11-09 - 2011-11-11 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
Miyako Island Marine Terminal |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
General |
| Paper Information |
| Registration To |
NLP |
| Conference Code |
2011-11-NLP |
| Language |
Japanese |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
On the Possibility of Augmented Lorenz Equations as Turbulent Large-Scale Circulation Model |
| Sub Title (in English) |
|
| Keyword(1) |
Lorenz equations |
| Keyword(2) |
Chaotic gas turbine |
| Keyword(3) |
Augmented Lorenz equations |
| Keyword(4) |
Thermal convection |
| Keyword(5) |
Large-scale circulation |
| Keyword(6) |
Turbulence |
| Keyword(7) |
|
| Keyword(8) |
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| 1st Author's Name |
Takaya Miyano |
| 1st Author's Affiliation |
Ritsumeikan University (Ritsumeikan Univ.) |
| 2nd Author's Name |
Kenichiro Cho |
| 2nd Author's Affiliation |
Ritsumeikan University (Ritsumeikan Univ.) |
| 3rd Author's Name |
Toshiyuki Toriyama |
| 3rd Author's Affiliation |
Ritsumeikan University (Ritsumeikan Univ.) |
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| Speaker |
Author-1 |
| Date Time |
2011-11-09 14:55:00 |
| Presentation Time |
25 minutes |
| Registration for |
NLP |
| Paper # |
NLP2011-102 |
| Volume (vol) |
vol.111 |
| Number (no) |
no.276 |
| Page |
pp.61-64 |
| #Pages |
4 |
| Date of Issue |
2011-11-02 (NLP) |