Nonlinear convection regimes in superposed fluid and porous layers under vertical vibrations: Negative porosity gradients

• Published in: International journal of heat and mass transfer Vol. 127; pp. 438 - 449
• Main Authors: Kolchanova, E.A., Kolchanov, N.V.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.12.2018; Elsevier BV
• Subjects: Amplitudes; Computational fluid dynamics; Heat flux; Heat flux oscillations; Heat transfer; High-frequency and small-amplitude vibrations; Negative porosity gradients; Nonlinear convection; Nonlinear equations; Oscillations; Permeability; Porosity; Porous media; Rolls; Stability; Superposed fluid and porous layers; Temperature gradients; Variations; Vibration; Negative porosity gradients; Heat flux oscillations; High-frequency and small-amplitude vibrations; Nonlinear convection; Superposed fluid and porous layers
• ISSN: 0017-9310; 1879-2189
• DOI: 10.1016/j.ijheatmasstransfer.2018.06.151

•Studying vibration effect on nonlinear convection in superposed fluid-porous layer.•Porosity increases with depth in a porous layer having a negative porosity gradient.•Penetrative convection arises in the layers subject to high-frequency vibrations.•Supercritical velocity and heat flux oscillations occur in the absence of vibration.•Intensive vertical vibrations suppress the velocity and heat flux oscillations. We study numerically a nonlinear problem on the excitation of average convection in a fluid layer heated from below and partially filled with a porous medium in the gravity field. The porous medium is non-uniform in the vertical direction, and its permeability and porosity grow with depth at a negative porosity gradient. The layer oscillates vertically with high frequency and small amplitude. It is shown that in the absence of vibrations harmonic velocity oscillations can occur in the layer. In this case, the heat flux performs small-amplitude oscillations, to it is assumed to be quasi-stationary. With increasing supercriticality, the velocity oscillations become irregular and are accompanied by heat flux fluctuations with high enough amplitude. Changes in the heat flux are caused by the instability of long-wave convective rolls that penetrate pores. Additional vortices having a shorter wavelength and interacting with long-wave rolls are observed within a high porosity region near the hot lower boundary of the layer. This region constitutes the major part of the total temperature difference at the solid boundaries of the layer. Vibrations of a high enough intensity suppress the supercritical velocity and heat flux oscillations, thus preventing additional vortex formation.