Natural convection of nanofluids in a shallow cavity heated from below

Alloui, Z.; Vasseur, P.; Reggio, Marcelo

doi:10.1016/j.ijthermalsci.2010.04.006

Cited by 102 publications

(48 citation statements)

References 25 publications

(40 reference statements)

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“…Tzou [7,8] employed Buongiorno's model to investigate the thermal instability problem and found that nanofluids are less stable than regular fluids. Alloui et al [9] studied the natural convection of nanofluids in a shallow cavity heated from below. Nield and Kuznetsov [10] studied the parameters involved in the onset of convection in a horizontal nanofluid layer of finite depth.…”

Section: Introductionmentioning

confidence: 99%

Effect of Internal Heat Source on the Onset of Double-Diffusive Convection in a Rotating Nanofluid Layer with Feedback Control Strategy

Khalid

Mokhtar

Hashim

et al. 2017

Advances in Mathematical Physics

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A linear stability analysis has been carried out to examine the effect of internal heat source on the onset of Rayleigh-Bénard convection in a rotating nanofluid layer with double diffusive coefficients, namely, Soret and Dufour, in the presence of feedback control. The system is heated from below and the model used for the nanofluid layer incorporates the effects of thermophoresis and Brownian motion. Three types of bounding systems of the model have been considered which are as follows: both the lower and upper bounding surfaces are free, the lower is rigid and the upper is free, and both of them are rigid. The eigenvalue equations of the perturbed state were obtained from a normal mode analysis and solved using the Galerkin method. It is found that the effect of internal heat source and Soret parameter destabilizes the nanofluid layer system while increasing the Coriolis force, feedback control, and Dufour parameter helps to postpone the onset of convection. Elevating the modified density ratio hastens the instability in the system and there is no significant effect of modified particle density in a nanofluid system.

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Section: Introductionmentioning

confidence: 99%

Effect of Internal Heat Source on the Onset of Double-Diffusive Convection in a Rotating Nanofluid Layer with Feedback Control Strategy

Khalid

Mokhtar

Hashim

et al. 2017

Advances in Mathematical Physics

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“…He noted that the nanoparticles absolute velocity can be viewed as the sum of the base fluid velocity and a relative (slip) velocity. Vadasz [13] studied heat conduction in nanofluid suspensions whereas Alloui et al [14] studied the natural convection of nanofluids in a shallow cavity heated from below. The onset of convection in a horizontal layer uniformly heated from below for a horizontal layer of nanofluid was studied by Tzou [15,16].…”

Section: Introductionmentioning

confidence: 99%

Effect of variable gravity on thermal instability of rotating nanofluid in porous medium

Chand¹,

Rana²,

Kango³

2015

FME Transaction

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“…Alloui et al [7] performed an analytical and numerical study of a natural convection problem in a shallow cavity filled with a nanofluid and heated from below. These authors reported that the presence of nanoparticles in a fluid reduced the strength of flow field, being these reductions especially relevant at low values of the Rayleigh number.…”

Section: Introductionmentioning

confidence: 99%

Rayleigh-Bénard convection in an elastico-viscous Walters’ (model B’) nanofluid layer

Rana¹,

Chand²

2015

Bulletin of the Polish Academy of Sciences Technical Sciences

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Abstract. In this study, the onset of convection in an elastico-viscous Walters' (model B') nanofluid horizontal layer heated from below is considered. The Walters' (model B') fluid model is employed to describe the rheological behavior of the nanofluid. By applying the linear stability theory and a normal mode analysis method, the dispersion relation has been derived. For the case of stationary convection, it is observed that the Walters' (model B') elastico-viscous nanofluid behaves like an ordinary Newtonian nanofluid. The effects of the various physical parameters of the system, namely, the concentration Rayleigh number, Prandtl number, capacity ratio, Lewis number and kinematics visco-elasticity coefficient on the stability of the system has been numerically investigated. In addition, sufficient conditions for the non-existence of oscillatory convection are also derived.

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Natural convection of nanofluids in a shallow cavity heated from below

Cited by 102 publications

References 25 publications

Effect of Internal Heat Source on the Onset of Double-Diffusive Convection in a Rotating Nanofluid Layer with Feedback Control Strategy

Effect of Internal Heat Source on the Onset of Double-Diffusive Convection in a Rotating Nanofluid Layer with Feedback Control Strategy

Effect of variable gravity on thermal instability of rotating nanofluid in porous medium

Rayleigh-Bénard convection in an elastico-viscous Walters’ (model B’) nanofluid layer

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