Effect of Thermal Modulation on the Onset of Convection in Walters B Viscoelastic Fluid-Saturated Porous Medium

被引:0
|
作者
I. S. Shivakumara
Jinho Lee
M. S. Malashetty
S. Sureshkumar
机构
[1] Yonsei University,School of Mechanical Engineering
[2] Bangalore University,Department of Mathematics, UGC
[3] Gulbarga University,CAS in Fluid Mechanics
[4] Siddaganga Institute of Technology,Department of Mathematics
来源
Transport in Porous Media | 2011年 / 87卷
关键词
Thermal modulation; Porous medium; Walters B viscoelastic fluid; Convection;
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摘要
The linear stability of Walters B viscoelastic fluid-saturated horizontal porous layer is examined theoretically when the walls of the porous layer are subjected to time-periodic temperature modulation. Three types of boundary temperature modulations are considered namely, symmetric, asymmetric, and only the lower wall temperature is modulated while the upper wall is held at constant temperature. A regular perturbation method based on small amplitude of applied temperature field is used to compute the critical values of Rayleigh number and the corresponding wave number. The shift in critical Rayleigh number is calculated as a function of modulation frequency, viscoelastic parameter, and Prandtl number. The effect of all three types of modulations is found to be destabilizing as compared to the unmodulated system. This result is in contrast to the system with other types of fluids. Besides, the influence of physical parameters on the control of convective instability of the system is discussed.
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页码:291 / 307
页数:16
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