Mechanisms of Self-Sustained Oscillations Induced by a Flow Over a Cavity

2008 ◽  
Vol 130 (5) ◽  
pp. 051001 ◽  
Author(s):  
Michel Massenzio ◽  
Alain Blaise ◽  
Claude Lesueur
2000 ◽  
Vol 39 (02) ◽  
pp. 118-121 ◽  
Author(s):  
S. Akselrod ◽  
S. Eyal

Abstract:A simple nonlinear beat-to-beat model of the human cardiovascular system has been studied. The model, introduced by DeBoer et al. was a simplified linearized version. We present a modified model which allows to investigate the nonlinear dynamics of the cardiovascular system. We found that an increase in the -sympathetic gain, via a Hopf bifurcation, leads to sustained oscillations both in heart rate and blood pressure variables at about 0.1 Hz (Mayer waves). Similar oscillations were observed when increasing the -sympathetic gain or decreasing the vagal gain. Further changes of the gains, even beyond reasonable physiological values, did not reveal another bifurcation. The dynamics observed were thus either fixed point or limit cycle. Introducing respiration into the model showed entrainment between the respiration frequency and the Mayer waves.


2021 ◽  
Vol 913 ◽  
Author(s):  
Alessandro Bongarzone ◽  
Arnaud Bertsch ◽  
Philippe Renaud ◽  
François Gallaire

Abstract


2003 ◽  
Vol 17 (4) ◽  
pp. 590-598
Author(s):  
Sung-Ryong Koh ◽  
Yong Cho ◽  
Young J. Moon

1983 ◽  
Vol 38 (10) ◽  
pp. 1675-1681 ◽  
Author(s):  
G.R. Jerauld ◽  
Y. Vasatis ◽  
M.F. Doherty

Biology Open ◽  
2014 ◽  
Vol 3 (8) ◽  
pp. 700-710 ◽  
Author(s):  
M. M. Wilkes ◽  
J. D. Wilson ◽  
B. Baird ◽  
D. Holowka

2003 ◽  
Vol 475 ◽  
pp. 101-145 ◽  
Author(s):  
NICOLAS FORESTIER ◽  
LAURENT JACQUIN ◽  
PHILIPPE GEFFROY

The flow over a cavity at a Mach number 0.8 is considered. The cavity is deep with an aspect ratio (length over depth) L/D = 0.42. This deep cavity flow exhibits several features that makes it different from shallower cavities. It is subjected to very regular self-sustained oscillations with a highly two-dimensional and periodic organization of the mixing layer over the cavity. This is revealed by means of a high-speed schlieren technique. Analysis of pressure signals shows that the first tone mode is the strongest, the others being close to harmonics. This departs from shallower cavity flows where the tones are usually predicted well by the standard Rossiter’s model. A two-component laser-Doppler velocimetry system is also used to characterize the phase-averaged properties of the flow. It is shown that the formation of coherent vortices in the region close to the boundary layer separation has some resemblance to the ‘collective interaction mechanism’ introduced by Ho & Huang (1982) to describe mixing layers subjected to strong sub-harmonic forcing. Otherwise, the conditional statistics show close similarities with those found in classical forced mixing layers except for the production of random perturbations, which reaches a maximum in the structure centres, not in the hyperbolic regions with which turbulence production is usually associated. An attempt is made to relate this difference to the elliptic instability that may be observed here thanks to the particularly well-organized nature of the flow.


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