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<p>The problem of thermal convection in a Burgers fluid occupying a horizontal layer is investigated. The thresholds for linear instability are calculated in detail and the critical Rayleigh and wave numbers are determined. Using a classification of Anatoly P. Oskolkov it is shown that the model for a Burgers fluid is a natural extension of a Maxwell fluid and one may also refer to it as a Maxwell fluid of order two. The thermal convection thresholds are compared to those for a regular Maxwell fluid and the effects of the new parameters in the Burgers model are displayed.</p>

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Thermal convection in a Burgers fluid

  • 期刊论文

  • 发表日期：

    2025年9月8日

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  • Brian Straughan

摘要

The problem of thermal convection in a Burgers fluid occupying a horizontal layer is investigated. The thresholds for linear instability are calculated in detail and the critical Rayleigh and wave numbers are determined. Using a classification of Anatoly P. Oskolkov it is shown that the model for a Burgers fluid is a natural extension of a Maxwell fluid and one may also refer to it as a Maxwell fluid of order two. The thermal convection thresholds are compared to those for a regular Maxwell fluid and the effects of the new parameters in the Burgers model are displayed.