Boundary and internal heat source effects on the onset of Darcy–Brinkman convection in a porous layer saturated by nanofluid

Yadav, Dhananjay; Bhargava, Rama; Agrawal, G.S.

doi:10.1016/j.ijthermalsci.2012.05.011

Cited by 113 publications

(66 citation statements)

References 46 publications

(48 reference statements)

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“…(34), it is interesting to note that the vertical AC electric field does not influence the existence of oscillatory convection. Following Buongiorno (2006), Nield and Kuznetsov (2013) and Yadav et al (2014b) (Buongiorno, 2006;Nield and Kuznetsov, 2013;Yadav et al, 2011Yadav et al, , 2012Yadav et al, , 2014bYadav et al, , c, d, 2015c This is because as an increase in volumetric fraction of nanoparticles, increases the Brownian motion of the nanoparticles which cause destabilizing effect on the stability of the system. The corresponding critical wave number c a has been plotted in Fig.…”

Section: Oscillatory Convectionmentioning

confidence: 98%

Electrothermal Instability in a Porous Medium Layer Saturated by a Dielectric Nanofluid

Yadav

Lee²,

Cho³

2016

JAFM

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The onset of convection in a porous medium saturated by a dielectric nanofluid with vertical AC electric field is investigated. The flux of volume fraction of a nanoparticle with the effect of thermophoresis is taken to be zero on the boundaries and the eigenvalue problem is solved using the Galerkin method. The model used for nanofluid incorporates the combined effect of Brownian diffusion, thermophoresis and electrophoresis, while for porous medium Darcy model is employed. The results show that increase in the AC electric RayleighDarcy number, the Lewis number, the modified diffusivity ratio and the concentration Rayleigh-Darcy number are to hasten the onset of convection. The size of convection cells does not depend on nanofluid parameters, but decreases with increasing the AC electric Rayleigh-Darcy number. The non-existence of oscillatory convection is also obtained.

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Section: Oscillatory Convectionmentioning

confidence: 98%

Electrothermal Instability in a Porous Medium Layer Saturated by a Dielectric Nanofluid

Yadav

Lee²,

Cho³

2016

JAFM

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“…In recent years, the problem of convection in nanofluids induced by internal heating has attracted a great amount of attention from many researchers due to its various industrial and geophysical applications. The effect of an internal heat source in porous medium saturated by nanofluid was first investigated by Yadav et al [40]. There are various studies available in which phenomena associated with the onset of convection in a nanofluid layer induced by purely internal heating have been investigated under different aspects [41][42][43].…”

Section: Introductionmentioning

confidence: 99%

Linear Stability Analysis of Penetrative Convection via Internal Heating in a Ferrofluid Saturated Porous Layer

Mahajan

Sunil

Sharma

2017

Fluids

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Penetrative convection due to purely internal heating in a horizontal ferrofluid-saturated porous layer is examined by performing linear stability analysis. Four different types of heat supply functions are considered. The Darcy model is used to incorporate the effect of the porous medium. Numerical solutions are obtained by using the Chebyshev pseudospectral method, and the results are discussed for all three boundary conditions: when both boundaries are impermeable and conducting; when both boundaries are conducting with lower boundary impermeable and free upper boundary; and when both boundaries are impermeable with lower boundary conducting and upper with constant heat flux. The effect of the Langevin parameter, width of ferrofluid layer, permeability parameter, and nonlinearity of the fluid magnetization has been observed at the onset of penetrative convection for water-and ester-based ferrofluids. It is seen that the Langevin parameter, width of ferrofluid layer, and permeability parameter have stabilizing effects on the onset of convection, while the nonlinearity of the fluid magnetization advances the onset of convection.

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“…Khan and Aziz [16] studied the double-diffusive free convection from a vertical plate to a porous medium saturated with a binary base nanofluid. The influence of the internal heat source on the onset of Darcy-Brinkman convection in a porous layer filled with a nanofluid was presented by Yadav et al [17]. They showed that the porous medium has stabilizing effects on the modeled system.…”

Section: Introductionmentioning

confidence: 99%

Slip Flow and Heat Transfer of Nanofluids over a Porous Plate Embedded in a Porous Medium with Temperature Dependent Viscosity and Thermal Conductivity

Hussain

Aziz

et al. 2016

Applied Sciences

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Abstract:It is well known that the best way of convective heat transfer is the flow of nanofluids through a porous medium. In this regard, a mathematical model is presented to study the effects of variable viscosity, thermal conductivity and slip conditions on the steady flow and heat transfer of nanofluids over a porous plate embedded in a porous medium. The nanofluid viscosity and thermal conductivity are assumed to be linear functions of temperature, and the wall slip conditions are employed in terms of shear stress. The similarity transformation technique is used to reduce the governing system of partial differential equations to a system of nonlinear ordinary differential equations (ODEs). The resulting system of ODEs is then solved numerically using the shooting technique. The numerical values obtained for the velocity and temperature profiles, skin friction coefficient and Nusselt's number are presented and discussed through graphs and tables. It is shown that the increase in the permeability of the porous medium, the viscosity of the nanofluid and the velocity slip parameter decrease the momentum and thermal boundary layer thickness and eventually increase the rate of heat transfer.

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Boundary and internal heat source effects on the onset of Darcy–Brinkman convection in a porous layer saturated by nanofluid

Cited by 113 publications

References 46 publications

Electrothermal Instability in a Porous Medium Layer Saturated by a Dielectric Nanofluid

Electrothermal Instability in a Porous Medium Layer Saturated by a Dielectric Nanofluid

Linear Stability Analysis of Penetrative Convection via Internal Heating in a Ferrofluid Saturated Porous Layer

Slip Flow and Heat Transfer of Nanofluids over a Porous Plate Embedded in a Porous Medium with Temperature Dependent Viscosity and Thermal Conductivity

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