Magneto convection in a nanofluid layer

Gupta, Urvashi; Ahuja, Jyoti; Wanchoo, R. K.

doi:10.1016/j.ijheatmasstransfer.2013.05.035

Cited by 83 publications

(26 citation statements)

References 46 publications

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“…The effect of magnetic field effect on the thermal instability in nanofluids was studied by Yadav et al (2013cYadav et al ( , 2014dYadav et al ( , 2015d), Gupta et al (2013) and Chand et al (2014a,b). They found that the fluid under magnetic effects experiences a Lorentz force.…”

Section: Introductionmentioning

confidence: 99%

Effect of Hall Current on the Onset of MHD Convection in a Porous Medium Layer Saturated by a Nanofluid

Yadav

Mohamed

Cho³

et al. 2016

JAFM

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In this study, the effect of Hall current on the criterion for the onset of MHD convection in a porous medium layer saturated by a nanofluid is investigated. The model used for nanofluid combines the effect of Brownian motion and thermophoresis, while for a porous medium Brinkman model is used. A physically more realistic boundary condition than the previous ones on the nanoparticle volume fraction is considered i.e. the nanoparticle flux is assumed to be zero rather than prescribing the nanoparticle volume fraction on the boundaries. Using linear stability theory, the exact analytical expression for critical Rayleigh Darcy number is obtained in terms of various non-dimensional parameters. Results indicate that the magnetic field, Hall current, porous medium and nanoparticles significantly influence the stability characteristics of the system. The increase in the Hall current parameter, the Lewis number, the modified diffusivity ratio and the concentration Rayleigh Darcy number is to hasten the onset of convection while the magnetic Darcy number, the porosity parameter and the Darcy number has stabilized on the onset of convection.

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Section: Introductionmentioning

confidence: 99%

Effect of Hall Current on the Onset of MHD Convection in a Porous Medium Layer Saturated by a Nanofluid

Yadav

Mohamed

Cho³

et al. 2016

JAFM

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“…By applying these perturbations to (9)- (14), the resulting equations are linearized by using the concept of linear theory. The obtained system of perturbation equations will be analyzed within the framework of normal modes and single term Galerkin method.…”

Section: Primary Flow and Disturbance Equationsmentioning

confidence: 99%

“…Effect of rotation on thermal convection has been accounted for by Bhadauria and Agarwal [12] and Chand and Rana [13] in porous/nonporous medium and it was 2 International Journal of Geophysics established that addition of Coriolis force term in momentum equation increases the stability of the system. Gupta et al [14] and Yadav et al [15] were the first authors for studying convection problem in the presence of imposed magnetic field for bottom heavy and top heavy distribution of nanoparticles, respectively. It was found that magnetic field postpones the onset of thermal convection and the mode of heat transfer is through oscillatory motions for bottom heavy distribution whereas it is through stationary convection for top heavy arrangement of nanoparticles.…”

Section: Introductionmentioning

confidence: 99%

Hydromagnetic Stability of Metallic Nanofluids (Cu-Water and Ag-Water) Using Darcy-Brinkman Model

Ahuja

Gupta

Wanchoo

2016

International Journal of Geophysics

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Thermal convection of a nanofluid layer in the presence of imposed vertical magnetic field saturated by a porous medium is investigated for both-free, rigid-free, and both-rigid boundaries using Darcy-Brinkman model. The effects of Brownian motion and thermophoretic forces due to the presence of nanoparticles and Lorentz's force term due to the presence of magnetic field have been considered in the momentum equations along with Maxwell's equations. Keeping in mind applications of flow through porous medium in geophysics, especially in the study of Earth's core, and the presence of nanoparticles therein, the hydromagnetic stability of a nanofluid layer in porous medium is considered in the present formulation. An analytical investigation is made by applying normal mode technique and Galerkin type weighted residuals method and the stability of Cu-water and Ag-water nanofluids is compared. Mode of heat transfer is through stationary convection without the occurrence of oscillatory motions. Stability of the system gets improved appreciably by raising the Chandrasekhar number as well as Darcy number whereas increase in porosity hastens the onset of instability. Further, stability of the system gets enhanced as we proceed from both-free boundaries to rigid-free and to both-rigid boundaries.

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“…Ramesh and Rana [24] considered the effect of rotation on a horizontal layer of porous medium saturated by a nanofluid. The effect of magnetic field on the thermal instability of nanofluids has been discussed by Gupta et al [25], Yadav et al [26] and Mahajan and Arora [27]. These authors showed that the presence of a magnetic field has a stabilizing influence.…”

Section: Introductionmentioning

confidence: 96%

Marangoni convection in a thin layer of nanofluid: Application to combinations of water or ethanol with nanoparticles of alumina or multi-walled carbon nanotubules

Abdullah

Lindsay

2017

International Journal of Heat and Mass Transfer

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Magneto convection in a nanofluid layer

Cited by 83 publications

References 46 publications

Effect of Hall Current on the Onset of MHD Convection in a Porous Medium Layer Saturated by a Nanofluid

Effect of Hall Current on the Onset of MHD Convection in a Porous Medium Layer Saturated by a Nanofluid

Hydromagnetic Stability of Metallic Nanofluids (Cu-Water and Ag-Water) Using Darcy-Brinkman Model

Marangoni convection in a thin layer of nanofluid: Application to combinations of water or ethanol with nanoparticles of alumina or multi-walled carbon nanotubules

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