Search results for "Stabilizing temperature gradient"

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Transitions in a stratified Kolmogorov flow

2016

We study the Kolmogorov flow with weak stratification. We consider a stabilizing uniform temperature gradient and examine the transitions leading the flow to chaotic states. By solving the equations numerically we construct the bifurcation diagram describing how the Kolmogorov flow, through a sequence of transitions, passes from its laminar solution toward weakly chaotic states. We consider the case when the Richardson number (measure of the intensity of the temperature gradient) is $$Ri=10^{-5}$$ , and restrict our analysis to the range $$0<Re<30$$ . The effect of the stabilizing temperature is to shift bifurcation points and to reduce the region of existence of stable drifting states. The…

Period-doubling bifurcationRichardson numberApplied MathematicsGeneral Mathematics010102 general mathematicsMathematical analysisChaoticThermodynamicsLaminar flowSaddle-node bifurcationBifurcation diagram01 natural sciences010305 fluids & plasmasNonlinear Sciences::Chaotic DynamicsTranscritical bifurcation0103 physical sciences0101 mathematicsStabilizing temperature gradient Equilibria Bifurcation analysisBifurcationMathematicsRicerche di Matematica
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