Chaotic Convection in a Porous Medium Under Temperature Modulation

Abstract

The work proposed by Vadász et al. (Transp Porous Media 103:279-294, 2014) motivated us to take up the problem of chaotic convection under temperature modulation for study. The analysis of buoyancy driven convection for moderate Prandtl number in a fluid saturated porous layer heated from below and subject to temperature modulation is presented. It has been investigated that a better combination of values of , δ and scaled Rayleigh number Ra provides a way for chaos. It is found that the temperature modulation (suitable choice of frequency , amplitude δ along with scaled Rayleigh number Ra) of the boundaries is to enhance the behaviour of the chaotic motion. The lower boundary plate modulation is similar to the gravity modulation given by Vadász et al. (Transp Porous Media 103:279-294, 2014) and Bhadauria and Kiran (Int J Heat Mass Transf 84:610-624, 2015). It is also found that heat transfer results conform the results of Bhadauria and Kiran (Transp

Nonlinear throughflow effects on thermally modulated porous medium

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“…Recently, considering various convective flow models in porous medium [5][6][7], fluid layer [8][9][10] the phenomenon of heat or mass transfer investigated, where the concept of regulating either heat or mass transfer is missing. The temperature gradient can be achieved by time-dependent heating or cooling at the boundaries, the related problems have been investigated by Nield [11], Chhuon and Caltagirone [12], Rudraiah et al [13], Rudraiah and Malashetty [14], Caltagirone [15], Bhatia and Bhadauria [16,17], Bhadauria [18][19][20][21][22][23][24], Bhadauria and Suthar [25], Bhadauria and Srivastava [26], Bhadauria et al [27], Bhadauria and Kiran [28,29] and Kiran and Bhadauria [30].…”

Chaotic Convection in a Viscoelastic Fluid Saturated Porous Medium with a Heat Source

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“…They investigated the onset of instability in a horizontal porous layer using a model for the nanofluid that incorporated particle Brownian motion and thermophoresis. Related studies with various assumptions on the geometry and flow structure have been made by [12][13][14][15]. In the last few decades, researchers have also investigated thermal instability in a horizontal nanofluid layer subject to an applied magnetic field [16,17].…”