Bursting dynamics in Rayleigh-Benard convection

被引：4

作者：

Dan, Surajit ^{[1
]}

Ghosh, Manojit ^{[2
]}

Nandukumar, Yada ^{[2
]}

Dana, Syamal K. ^{[3
]}

Pal, Pinaki ^{[2
]}

机构：

[1] Basantapur Adibasi High Sch, Purulia 723131, W Bengal, India

[2] Natl Inst Technol, Dept Math, Durgapur 713209, India

[3] CSIR Indian Inst Chem Biol, Kolkata 700032, India

来源：

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS | 2017年 / 226卷 / 09期

关键词：

PRANDTL-NUMBER CONVECTION; STRESS-FREE BOUNDARIES; BIFURCATION; ROLLS; FLOW;

D O I：

10.1140/epjst/e2017-70006-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We report bursting dynamics in a parametrically driven Rayleigh-B,nard convection (RBC) model of low Prandtl-number fluids with free-slip boundary conditions. A four dimensional RBC model [P. Pal, K. Kumar, P. Maity, S.K. Dana, Phys. Rev. E 87, 023001 (2013)] is used for this study. The dynamical system shows pitchfork, Hopf and gluing bifurcations near the onset of RBC of low Prandtl-number fluids. Around the bifurcation points, when the Rayleigh number of the system is slowly modulated periodically, two unknown kinds of bursting appears, namely, Hopf/Hopf via pitchfork bifurcation and Hopf/Hopf via gluing bifurcation besides the conventional Hopf/Hopf (elliptical) and pitchfork/pitchfork bursting.

引用

页码：2089 / 2099

页数：11

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