Abstract
Abstract The present article is to investigate the effect of various parameters on chaotic convection in an anisotropic porous medium under gravity modulation. For this, the problem is reduced into Lorenz system (non-autonomous) by employing truncated Galerkin expansion method. It is found that the system shows either chaotic or periodic nature for suitable values of scaled Rayleigh number. The influence of amplitude of modulation is to advance the chaotic nature in the system while that of frequency of modulation has tendency to delay the chaotic behaviour. The effects of Peclet number and anisotropic parameters on the chaotic system are also studied and found these are delay the chaotic nature. The phase portrait and time domain diagrams of the Lorenz system for suitable parametric values has been used to analysed the system. Finally, we conclude that the system has either chaotic or periodic solution depending upon the values of the parameters.
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