Convection excitation in layers of fluid and fluid-saturated porous medium in a modulated gravity field
DOI:
https://doi.org/10.17072/1994-3598-2016-3-22-31Abstract
The effect of periodic modulation of gravitational acceleration on convection excitation in a two-layer system that is heated from below and consists of a horizontal pure fluid layer and a homogeneous porous medium saturated with the same fluid is investigated. The linear stability problem for mechanical equilibrium of fluid in the layers is solved numerically by the Galerkin method and the shooting method. A rectangular modulation of gravitational acceleration is established. Boundaries for resonance regions of equilibrium instability with respect to perturbations of synchronous and subharmonic responses of the system to periodic vibrational actions are demined as modulation amplitude and frequency change for various critical perturbation wavelengths. A boundary of the main instability region with respect to synchronous perturbations is found. It is shown that the modulation amplitude corresponding to the threshold of convection excitation strongly depends on perturbation wavelength. Perturbations of shorter wavelength (short-wave perturbations) localized in the fluid layer are more susceptible to the gravity modulation effect than perturbations of larger wavelength (long-wave perturbations) penetrating the porous layer. The occurrence of narrow resonance stability regions as heat intensity increases for short-wave perturbations is much earlier than for long-wave perturbations.Received 22.10.2016; accepted 03.11.2016References
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