A study on the onset of thermally modulated Darcy–Bénard convection

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• 作者：Om P. Suthar ; P. G. Siddheshwar ; B. S. Bhadauria
• 关键词：Darcy–Bénard convection ; Matrix differential operator ; Rectangular enclosure ; Subharmonic instability ; Temperature modulation
• 刊名：Journal of Engineering Mathematics
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：101
• 期：1
• 页码：175-188
• 全文大小：1,167 KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mechanics
  Applications of Mathematics
  Analysis
  Mathematical Modeling and IndustrialMathematics
  Numeric Computing
  
• 出版者：Springer Netherlands
• ISSN：1573-2703
• 卷排序：101

文摘

A stability analysis of linearized Rayleigh–Bénard convection in a densely packed porous layer was performed using a matrix differential operator theory. The boundary temperatures were assumed to vary periodically with time in a sinusoidal manner. The correction in the critical Darcy–Rayleigh number was computed and depicted graphically. It was shown that the phase difference between the boundary temperatures rather than the frequency of modulated temperatures decides the nature of influence of modulation on the onset of convection. Conclusions were drawn regarding the possible transitions from harmonic to subharmonic solutions. The results on the onset of thermally modulated convection in a rectangular porous enclosure were obtained using those on the modulated Darcy–Bénard convection.