Chaotic Darcy-Brinkman convection in a fluid saturated porous layer subjected to gravity modulation

Publication date: June 2018Source: Results in Physics, Volume 9Author(s): Moli Zhao, Shaowei Wang, S.C. Li, Q.Y. Zhang, U.S. MahabaleshwarAbstractOn the basis of Darcy-Brinkman model, the chaotic convection in a couple stress fluid saturated porous media under gravity modulation is investigated using the nonlinear stability analyses. The transition from steady convection to chaos is analysed with the effect of Darcy-Brinkman couple stress parameter and the gravity modulation. The results show that the chaotic behavior is connected with the critical value of Rayleigh number which is dependent upon the oscillation frequency and the Darcy-Brinkman couple stress parameter. If the oscillation frequency Ω is not zero, the Rayleigh number value R of the chaotic behavior increases with the increase of the Darcy-Brinkman couple stress parameter. The Darcy-Brinkman couple stress parameter and the gravity modulation decrease the rate of heat transfer.

Source: Results in Physics - July 5, 2018 Category: Physics Source Type: research