Abstract
An unsteady natural convection in a square cavity filled with a saturated air porous medium have been investigated numerically. The lower half of vertical walls are hot and the upper half walls are cold while the horizontal walls are adiabatic. The Darcy-Brinkman and the energy equations are solved numerically using the finite volume method and the TDMA algorithm. Results are analyzed in terms of streamlines, isotherms, averaged Nusselt number, phase portrait, attractors, spectra amplitude, Lyapunov exponents for a Darcy number and a Prandtl number respectively equal to 10–3 and 0.71 and a wide range of Rayleigh number (4 × 106 to 4 × 107). It has been found that, as Rayleigh number increases, the natural convection change from steady state to periodic oscillation state to non-periodic-oscillatory state. The phase portrait and the Lyapunov exponents show that the natural convection evolves to a deterministic chaos following the scenario of that of Ruelle–Takens.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
