A study on the onset of thermally modulated Darcy-B,nard convection

作者：Suthar Om P^*; Siddheshwar P G; Bhadauria B S

来源：Journal of Engineering Mathematics, 2016, 101(1): 175-188.

DOI：10.1007/s10665-016-9853-y

• Darcy-Benard convection
• Matrix differential operator
• Rectangular enclosure
• Subharmonic instability
• Temperature modulation

A stability analysis of linearized Rayleigh-B,nard 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-B,nard convection.

• 出版日期2016-12