Skip to main content
×
Home
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 47
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Li, Li Du, Xiaoze Zhang, Yuwen Yang, Lijun and Yang, Yongping 2015. Numerical simulation on flow and heat transfer of fin-and-tube heat exchanger with longitudinal vortex generators. International Journal of Thermal Sciences, Vol. 92, p. 85.


    Lim, C. P. Han, J. and Lam, Y. C. 2015. Chaos analysis of viscoelastic chaotic flows of polymeric fluids in a micro-channel. AIP Advances, Vol. 5, Issue. 7, p. 077150.


    Ghaedamini, H. Lee, P. S. and Teo, C. J. 2014. Fourteenth Intersociety Conference on Thermal and Thermomechanical Phenomena in Electronic Systems (ITherm). p. 680.

    Ghaedamini, H. Lee, P.S. and Teo, C.J. 2014. Enhanced transport phenomenon in small scales using chaotic advection near resonance. International Journal of Heat and Mass Transfer, Vol. 77, p. 802.


    Grant Mills, Zachary Shah, Tapan Warey, Alok Balestrino, Sandro and Alexeev, Alexander 2014. Onset of unsteady flow in wavy walled channels at low Reynolds number. Physics of Fluids, Vol. 26, Issue. 8, p. 084104.


    Khoshvaght Aliabadi, Morteza Hormozi, Faramarz and Hosseini Rad, Elham 2014. New correlations for wavy plate-fin heat exchangers: different working fluids. International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 24, Issue. 5, p. 1086.


    Yang, Yue-Tzu Wang, Yi-Hsien and Chen, Ke-Wei 2014. Numerical optimization of gas diffusion layer with a wavy channel. International Communications in Heat and Mass Transfer, Vol. 52, p. 15.


    Ghaedamini, H. Lee, P.S. and Teo, C.J. 2013. Developing forced convection in converging–diverging microchannels. International Journal of Heat and Mass Transfer, Vol. 65, p. 491.


    Guzmán, Amador M. Beiza, Maximiliano P. Diaz, Andrés J. Fischer, Paul F. and Ramos, Juan C. 2013. Flow and heat transfer characteristics in micro and mini communicating pressure driven channel flows by numerical simulations. International Journal of Heat and Mass Transfer, Vol. 58, Issue. 1-2, p. 568.


    Li, Li Du, Xiaoze Yang, Lijun Xu, Yan and Yang, Yongping 2013. Numerical simulation on flow and heat transfer of fin structure in air-cooled heat exchanger. Applied Thermal Engineering, Vol. 59, Issue. 1-2, p. 77.


    Zhang, Liang Bian, Yongning and Bai, Minli 2013. Fluid flow and mass transfer characteristics of water and polyacrylamide solution. Experimental Thermal and Fluid Science, Vol. 46, p. 191.


    Lee, Jeong Hyun Lee, Kyung Ho Won, Jung Min Rhee, Kyehan and Chung, Sang Kug 2012. Mobile oscillating bubble actuated by AC-electrowetting-on-dielectric (EWOD) for microfluidic mixing enhancement. Sensors and Actuators A: Physical, Vol. 182, p. 153.


    Nourani Zonouz, Ouldouz and Salmanpour, Mehdi 2012. Numerical Analysis of Flow Field and Heat Transfer of 2D Wavy Ducts and Optimization by Entropy Generation Minimization Method. Journal of Thermodynamics, Vol. 2012, p. 1.


    Sui, Y. Teo, C.J. and Lee, P.S. 2012. Direct numerical simulation of fluid flow and heat transfer in periodic wavy channels with rectangular cross-sections. International Journal of Heat and Mass Transfer, Vol. 55, Issue. 1-3, p. 73.


    Hardt, Steffen 2011. Ullmann's Encyclopedia of Industrial Chemistry.


    Floryan, J M and Floryan, C 2010. Traveling wave instability in a diverging–converging channel. Fluid Dynamics Research, Vol. 42, Issue. 2, p. 025509.


    HEWITT, G. F. and MARSHALL, J. S. 2010. Particle focusing in a suspension flow through a corrugated tube. Journal of Fluid Mechanics, Vol. 660, p. 258.


    Palacios, E. Ocola, L. E. Joshi-Imre, A. Bauerdick, S. Berse, M. and Peto, L. 2010. Three-dimensional microfluidic mixers using ion beam lithography and micromachining. Journal of Vacuum Science & Technology B: Microelectronics and Nanometer Structures, Vol. 28, Issue. 6, p. C6I1.


    Yokoyama, M. and Mochizuki, O. 2010. Effects of forced synthetic vibration on mixing in a flexible container installed in a μ-TAS. Sensors and Actuators A: Physical, Vol. 163, Issue. 1, p. 393.


    Alawadhi, Esam M. 2009. Forced Convection Flow in a Wavy Channel With a Linearly Increasing Waviness at the Entrance Region. Journal of Heat Transfer, Vol. 131, Issue. 1, p. 011703.


    ×
  • Journal of Fluid Mechanics, Volume 321
  • August 1996, pp. 25-57

Dynamical flow characterization of transitional and chaotic regimes in converging–diverging channels

  • A. M. Guzmán (a1) and C. H. Amon (a1)
  • DOI: http://dx.doi.org/10.1017/S002211209600763X
  • Published online: 01 April 2006
Abstract

Numerical investigation of laminar, transitional and chaotic flows in converging–diverging channels are performed by direct numerical simulations in the Reynolds number range 10 < Re < 850. The temporal flow evolution and the onset of turbulence are investigated by combining classical fluid dynamics representations with dynamical system flow characterizations. Modern dynamical system techniques such as timedelay reconstructions of pseudophase spaces, autocorrelation functions, fractal dimensions and Eulerian Lyapunov exponents are used for the dynamical flow characterization of laminar, transitional and chaotic flow regimes. As a consequence of these flow characterizations, it is verified that the transitional flow evolves through intermediate states of periodicity, two-frequency quasi-periodicity, frequency-locking periodicity, and multiple-frequency quasi-periodicity before reaching a non-periodic unpredictable behaviour corresponding to low-dimensional deterministic chaos.

Qualitative and quantitative differences in Eulerian dynamical flow parameters are identified to determine the predictability of transitional flows and to characterize chaotic, weak turbulent flows in converging–diverging channels. Autocorrelation functions, pseudophase space representations and Poincaré maps are used for the qualitative identification of chaotic flows, assertion of their unpredictable nature, and recognition of the topological structure of the attractors for different flow regimes. The predictability of transitional flows is determined by analysing the autocorrelation functions and by representing their attractors in the reconstructed pseudophase spaces. The transitional flow behaviour is examined by the geometric visualization of the evolution of the attractors and Poincaré maps until the appearance of a strange attractor at the onset of chaos. Eulerian Lyapunov exponents and fractal dimensions are quantitative parameters to establish the onset of chaos, the persistence of chaotic flow behaviour, and the long-term persistent unpredictability of chaotic Eulerian flow regimes. Lastly, three-dimensional simulations for converging–diverging channel flow are performed to determine the effect of the spanwise direction on the route of transition to chaos.

Copyright
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax