Journal
NONLINEAR DYNAMICS
Volume 91, Issue 2, Pages 837-852Publisher
SPRINGER
DOI: 10.1007/s11071-017-3913-3
Keywords
Couple-stress fluid convection; Hopf bifurcation; Homoclinic explosion; Intermittent-chaos; Synchronization
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Funding
- CSIR, New Delhi, India [09/025(0212)/2014-EMR-I]
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In this work we study the pattern of bifurcations and intermittent-chaos of non-Newtonian couple-stress shallow fluid layer subject to heating from below. The couple-stress parameter delays onset of convection, synchronizes chaotic behavior, and decreases the heat transfer . Some global aspects of the dynamics such as homoclinic bifurcations and transition to chaos are explored. The effects of particle size on the intermittent-chaos regime at particular normalized Rayleigh number, say , are investigated. With the increase in couple-stress parameter, the present Lorenz-like system synchronizes to a steady state via a series of periodic solutions interspersed with intervals of chaotic behaviors.
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