2015
DOI: 10.18869/acadpub.jafm.67.221.22830
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On the Onsetof Thermal Instability in a Low Prandtl Number Nanofluid Layer in a Porous Medium

Abstract: Thermal instability in a low Prandtl number nanofluid in a porous medium is investigated by using Galerkin weighted residuals method for free-free boundaries. For porous medium, Brinkman-Darcy modelis applied. The model used for the nanofluid describes the effects of Brownian motion and thermophoresis. Linear stability theory based upon normal mode analysis is employed to find the expression for stationary and oscillatory convection. The effects of Prandtl-number, Darcy number, Lewis number and modified diffus… Show more

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Cited by 86 publications
(24 citation statements)
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References 23 publications
(16 reference statements)
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“…Substituting trail functions (24) in the system of equations (19) - (21) and using boundary condition (22), we obtain the eigenvalue equation for stationary convection (n = 0), as: (25) Ra = a 2 + 10 2 + C a 2 + 10 a 4 + 20a 2 + 120…”
Section: Linear Stability Analysismentioning
confidence: 99%
See 1 more Smart Citation
“…Substituting trail functions (24) in the system of equations (19) - (21) and using boundary condition (22), we obtain the eigenvalue equation for stationary convection (n = 0), as: (25) Ra = a 2 + 10 2 + C a 2 + 10 a 4 + 20a 2 + 120…”
Section: Linear Stability Analysismentioning
confidence: 99%
“…Using that model, Nield and Kuznetsov [15][16][17], Kuznetsov and Nield [18][19][20], Yadav et al [21][22], Chand et al [23,24], Chand and Rana [25][26][27][28], Chand [29], Umavathi and Mohite [30] and Rana et al [31] studied the problems related to thermal instability in nanofluids. In all the above studies it was assumed that nanoparticle concentration can be imposed at the boundaries of the fluid.…”
Section: Introductionmentioning
confidence: 99%
“…Chand et al [23] investigated thermal instability of nanofluids in a porous medium using Galerkin weighted residuals method. Ahmed et al [24] in their study of stretching tube in heat sink using nanofluids investigated the effects of thermal conductivity and dynamic viscosity on heat transfer and boundary-layer flow.…”
Section: Introductionmentioning
confidence: 99%
“…The photocatalytic activity is also improved by band gap engineering, as a result of the quantum confinement effect [11][12][13]. There are number of research articles published on applications of nanomaterials in renewable energy and in enhancing the performance of the direct absorption solar collectors [14][15][16][17][18][19][20][21][22]. A well-controlled synthesis process at room temperature is needed for the economical use of ZnO in applications such as water treatment and other environmental applications.…”
Section: Introductionmentioning
confidence: 99%