A Weakly Non Linear Stability Analysis of Heat Transport in Anisotropic Porous Cavity Under Time PeriodicTemperature Modulation
Publish place: Journal of Applied Fluid Mechanics، Vol: 8، Issue: 4
Publish Year: 1394
Type: Journal paper
Language: English
View: 272
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Document National Code:
JR_JAFM-8-4_018
Index date: 25 January 2022
A Weakly Non Linear Stability Analysis of Heat Transport in Anisotropic Porous Cavity Under Time PeriodicTemperature Modulation abstract
In this paper, we have analyzed the effect of time periodic temperature modulation on convective stability in anisotropic porous cavity. The cavity is heated from below and cooled from above. A weakly non-linear stability analysis is done to find Nusselt number governing the heat transport. The infinitely small disturbances are expanded in terms of power series of amplitude of modulation. Analytically the nonautonomous Ginzburg- landau amplitude equation is obtained for the stationary mode of convection. The effects of various parameters like Vadasz number, mechanical and thermal anisotropic parameters, amplitude of oscillations, frequency of modulation and aspect ratio of the cavity on heat transport is studied and plotted graphically. It is observed that the heat transport can also be controlled by suitably adjusting the external and internal parameters of the system.
A Weakly Non Linear Stability Analysis of Heat Transport in Anisotropic Porous Cavity Under Time PeriodicTemperature Modulation Keywords: