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Heat Transport in an Anisotropic Porous Medium Saturated with Variable Viscosity Liquid Under Temperature Modulation

机译:温度调制下饱和可变粘度液体在各向异性多孔介质中的传热

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摘要

Thermal instability in a horizontal porous medium saturated with temperature-dependant viscous fluid has been considered, and the effect of time-periodic temperature modulation has been investigated. The amplitudes of temperature modulation at the lower and upper surfaces are considered to be very small and the disturbances are expanded in terms of power series of amplitude of convection. A weak non-linear stability analysis has been performed for the stationary mode of convection, and heat transport in terms of the Nusselt number, which is governed by the non-autonomous Ginzburg–Landau equation, is calculated. The effects of thermo-rheological parameter, amplitude and frequency of modulation, thermo-mechanical anisotropies, and Vadasz number on heat transport have been analyzed and depicted graphically. It is found that an increment in the value of thermo-rheological parameter results in the enhancement of heat transport in the system. Further, the study establishes that the heat transport can be controlled effectively by a mechanism that is external to the system.
机译:考虑了在水平多孔介质中饱和了随温度变化的粘性流体的热不稳定性,并研究了时间周期温度调制的影响。下表面和上表面的温度调制幅度被认为非常小,并且扰动根据对流幅度的幂级数而扩大。对流的平稳模式进行了弱非线性稳定性分析,并计算了由非自治吉恩茨堡-朗道方程控制的以努塞尔数表示的热传递。分析了热流变参数,调制幅度和频率,热机械各向异性以及Vadasz数对热传递的影响,并以图形方式进行了描述。已经发现,热流变参数值的增加导致系统中热传递的增强。此外,研究表明,可以通过系统外部的机制有效地控制热传输。

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