Natural convection in a rotating anisotropic porous layer with internal heat generation

Bhadauria, B. S.; Kumar, Anoj; Kumar, Jogendra; Sacheti, Nirmal C.; Chandran, Pallath

doi:10.1007/s11242-011-9811-0

Cited by 60 publications

(36 citation statements)

References 15 publications

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“…The literature on internal heating is much less extensive than that on external heating. Some latest studies are due to Bhadauria et al [22], Bhadauria [23] and Bhadauria et al ([24], [25], [26]). …”

Section: Introductionmentioning

confidence: 99%

Nonlinear thermal convection in a layer of nanofluid under G-jitter and internal heating effects

Bhadauria

Kiran

Belhaq

2014

MATEC Web of Conferences

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Abstract. This paper deals with a mathematical model of controlling heat transfer in nanofluids. The time-periodic vertical vibrations of the system are considered to effect an external control of heat transport along with internal heating effects. A weakly non-linear stability analysis is based on the five-mode Lorenz model using which the Nusselt number is obtained as a function of the thermal Rayleigh number, nano-particle concentration based Rayleigh number, Prandtl number, Lewis number, modified diffusivity ratio, amplitude and frequency of modulation. It is shown that modulation can be effectively used to control convection and thereby heat transport. Further, it is found that the effect of internal Rayleigh number is to enhance the heat and nano-particles transport.

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Section: Introductionmentioning

confidence: 99%

Nonlinear thermal convection in a layer of nanofluid under G-jitter and internal heating effects

Bhadauria

Kiran

Belhaq

2014

MATEC Web of Conferences

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“…Capone et al [43] carried -27 -DOI: 10.5963/AMSA0301004 out the linear and nonlinear stability analysis of double-diffusive penetrative convection in an anisotropic porous layer with a constant throughflow via internal heat source. Recently Bhadauria group [44][45][46][47] have studied the problem of thermal instability in porous media with internal heating, considering various physical models. Double diffusive convection occurs in many systems in industry and nature, and in the present context, is of particular interest in the study of extraction of metals from ores where a mushy layer is formed during solidification of a metalic alloy.…”

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confidence: 99%

Effect of Internal Heating on Double Diffusive Convection in a Couple Stress Fluid Saturated Anisotropic Porous Medium

Srivastava¹,

Bhadauria²,

Hashim³

2014

AMSA

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Abstract-The effect of internal heat source on double diffusive convection in a couple stress fluid saturated horizontal anisotropic porous layer was studied analytically by performing linear and nonlinear stability analyses. For linear stability analysis, normal mode technique was used, whereas for nonlinear stability analysis a minimal representation of Fourier series upto two terms was used. Effects of anisotropic parameter, couple stress parameter, solute Rayleigh number, Vadász number, Lewis number, internal heat source parameter on stationary, oscillatory and finite amplitude convection were obtained and shown graphically. Also the graphs for heat and mass transport, streamlines, isotherms, isohalines for steady and unsteady cases were drawn. It was found that internal heat source parameter had destabilizing effect on all modes of convection. Heat transport increased and mass transport decreased with the increase in internal heat source parameter.

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“…The thermal instability induced by uniform internal heat generation arising in a horizontal fluid layer has attracted the attention of many researchers [30][31][32][33][34][35][36][37][38]. It is found that an internal heat source decreases the stability of the fluid layer.…”

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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Natural convection in a rotating anisotropic porous layer with internal heat generation

Cited by 60 publications

References 15 publications

Nonlinear thermal convection in a layer of nanofluid under G-jitter and internal heating effects

Nonlinear thermal convection in a layer of nanofluid under G-jitter and internal heating effects

Effect of Internal Heating on Double Diffusive Convection in a Couple Stress Fluid Saturated Anisotropic Porous Medium

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

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