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Higher harmonic resonance in laterally heated flow (LHF) with Poiseuille flow component (PFC)

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In this work we investigate pattern formation in the hierarchical transition to turbulence through the resonant nonlinear interaction between stationary states or travelling wave modes with wave numbers in the ratio 1:2, 1:3 and 1:4 for the case of LHF without PFC, while we also present results for 1:2 and 1:3 strongly nonlinear resonance in LHF with PFC.

Author(s):

Takeshi Akinaga    
Aston University, School of Engineering, Mathematics
United Kingdom

Tomoaki Itano    
Kansai University
Japan

Kaoru Fujimura    
Tottori University
Japan

Sotos Generalis    
Aston University
United Kingdom