Route to chaos for moderate Prandtl number convection in a porous layer heated from below

Transport in Porous Media

Volumn 41, Issue 2, 2000, Pages 211-239

  Vadasz, Peter ^a   Olek, Shmuel ^b  

^a UNIVERSITY OF KWAZULU NATAL   (South Africa)

^b ISRAEL ELECTRIC CORPORATION   (Israel)

Author keywords

Chaos; Free convection; Lorenz equations; Weak turbulence

Indexed keywords

CHAOS THEORY; HEAT CONVECTION; PRANDTL NUMBER; PROBLEM SOLVING; TRANSITION FLOW;

ADOMIAN DECOMPOSITION METHOD; RAYLEIGH NUMBER;

POROUS MATERIALS;

CHAOS; CONVECTION; DARCY LAW; POROUS MEDIUM; PRANDTL NUMBER;

EID: 0034332629     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1006685205521     Document Type: Article

References (20)

1. A review of the decomposition method in applied mathematics
2. Deterministic non-periodic flows
3. Non-periodic convection at high and low Prandtl number
4. An accurate solution to the multispecies Lotka-Volterra Equations
5. Transient convection heat transfer in a porous medium: External flows
6. Stability conditions for the persistence, disruption and decay of two-dimensional dissipative three-mode patterns in moderately extended nonlinear systems and comparisons with simulations
7. Nonlinear dynamical systems: On the accuracy of Adomian's decomposition method
8. Transitions and chaos for free convection in a rotating porous layer
9. Local and global solutions for transitions to chaos and hysteresis in a porous layer heated from below
10. Weak turbulence and chaos for low Prandtl number gravity driven convection in porous media
11. Computational recovery of the homoclinic orbit in porous media convection
12. Controlling chaos in a thermal convection loop
13. Determining Lyapunov exponents from a time series
14. Rendering a subcritical Hopf bifurcation supercritical