Internal Travelling Waves in the Limit of a Discontinuously Stratified Fluid

2001 ◽  
Vol 160 (1) ◽  
pp. 41-90 ◽  
Author(s):  
Guillaume James
Keyword(s):  
Travelling Waves ◽  
Stratified Fluid

Bifurcations of travelling waves in population taxis models

1999 ◽  
Vol 169 (9) ◽  
pp. 1011 ◽  
Author(s):  
Faina S. Berezovskaya ◽  
G.P. Karev
Keyword(s):  
Travelling Waves

Dynamics of establishment of blocked flow in an inviscid stratified fluid

1998 ◽  
Author(s):  
Michihisa Tsutahara ◽  
Takeshi Kataoka
Keyword(s):  
Stratified Fluid

scholarly journals Qualitative Properties of Autocatalytic Reactions Occurring in a Flow System

1985 ◽  
Vol 40 (7) ◽  
pp. 736-747
Author(s):  
Sang H. Kim ◽  
Vladimir Hlavacek
Keyword(s):  
Chaotic Behavior ◽  
Flow System ◽  
Cell Model ◽  
Dispersion Model ◽  
Travelling Waves ◽  
Continuous Model ◽  
Product Inhibition ◽  
Stable Node ◽  
Qualitative Properties ◽  
Intermediate Value

The dynamic behavior of an autocatalytic reaction with a product inhibition term is studied in a flow system. A unique steady state exists in the continuous tank reactor. Linear stability analysis predicts either a stable node, a focus or an unstable saddle-focus. Sustained oscillations around the unstable focus can occur for high values of the Damköhler number (Da). In the distributed system, travelling, standing or complex oscillatory waves are detected. For a low value of Da, travelling waves with a pseudo-constant pattern are observed. With an intermediate value of Da, single or multiple standing waves are obtained. The temporal behavior indicates also the appearance of retriggering or echo waves. For a high value of Da, both single peak and complex multipeak oscillations are found. In the cell model, both regular oscillations near the inlet and chaotic behavior downstream are observed. In the dispersion model, higher Peclet numbers (Pe) eliminate the oscillations. The spatial profile shows a train of pulsating waves for the discrete model and a single pulsating or solitary wave for the continuous model.

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