On the Onset of Convection in a Hele-Shaw Geometry under the Influence of Mechanical Vibrations
Year: 2025
Type: article
Abstract: The onset of natural convection in a vertical Hele-Shaw configuration under the action of mechanical vibration is studied.Vibration is considered to be a harmonic one and its direction is considered parallel to the temperature gradient.Linear stability analysis for small Pr number leads us to the Mathieu equation.The so-called time averaged method is applied to this equation which gives us a closed form relation for the critical Ra T number for the harmonic (synchronous) solution.The results are in a perfect agreement with published numerical results.
DOI: 10.70012/csse.02.049
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: gold
OpenAlex ID: W4414512071
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