Oscillatory magneto-convection under magnetic field modulation

Kiran, Palle; Bhadauria, B. S.; Narasimhulu, Y.

doi:10.1016/j.aej.2016.12.006

Cited by 29 publications

(17 citation statements)

References 34 publications

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“…They concluded that magnetic modulation reduces heat transfer and stabilizes the system. The same problem has been extended to oscillatory mode of thermal convection by Kiran and Bhadauria [33]. It was concluded that oscillatory flows produce better heat transfer results.…”

Section: Introductionmentioning

confidence: 90%

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The Effect of Modulation on Heat Transport by a Weakly Nonlinear Thermal Instability in the Presence of Applied Magnetic Field and Internal Heating

Manjula

Kiran

Narsimlu

et al. 2020

International Journal of Applied Mechanics and Engineering

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The present paper deals with a weakly nonlinear stability problem under an imposed time-periodic thermal modulation. The temperature has two parts: a constant part and an externally imposed time-dependent part. We focus on stationary convection using the slow time scale and quantify convective amplitude through the real Ginzburg-Landau equation (GLE). We have used the classical fourth order Runge-Kutta method to solve the real Ginzburg-Landau equation. The effect of various parameters on heat transport is discussed through GLE. It is found that heat transport analysis is controlled by suitably adjusting the frequency and amplitude of modulation. The applied magnetic field (effect of Ha) is to diminish the heat transfer in the system. Three different types of modulations thermal, gravity, and magnetic field have been compared. It is concluded that thermal modulation is more effective than gravity and magnetic modulation. The magnetic modulation stabilizes more and gravity modulation stabilizes partially than thermal modulation.

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Section: Introductionmentioning

confidence: 90%

“…According to the studies of Bhadauria and Kiran [32], Kiran and Bhadauria [33], under the effect of magnetic modulation the momentum equation takes the form (…”

Section: Gle In the Presence Of Non-uniform Applied Magnetic Fieldmentioning

confidence: 99%

The Effect of Modulation on Heat Transport by a Weakly Nonlinear Thermal Instability in the Presence of Applied Magnetic Field and Internal Heating

Manjula

Kiran

Narsimlu

et al. 2020

International Journal of Applied Mechanics and Engineering

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“…They used the Fourier series model for finite amplitude convection and determined heat transfer results under rotational speed modulation. Kiran et al [26] investigated weakly nonlinear thermal convection using the complex Ginzburg Landau model under magnetic field modulation. The literature shows that no model is explained with nonlinear thermal oscillatory convection under the effects of time dependent rotational effects.…”

Section: Introductionmentioning

confidence: 99%

The Complex Ginzburg Landau Model for an Oscillatory Convection in a Rotating Fluid Layer

Manjula¹,

Kiran

Reddy

et al. 2020

International Journal of Applied Mechanics and Engineering

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A weakly nonlinear thermal instability is investigated under rotation speed modulation. Using the perturbation analysis, a nonlinear physical model is simplified to determine the convective amplitude for oscillatory mode. A non-autonomous complex Ginzburg-Landau equation for the finite amplitude of convection is derived based on a small perturbed parameter. The effect of rotation is found either to stabilize or destabilize the system. The Nusselt number is obtained numerically to present the results of heat transfer. It is found that modulation has a significant effect on heat transport for lower values of ωf while no effect for higher values. It is also found that modulation can be used alternately to control the heat transfer in the system. Further, oscillatory mode enhances heat transfer rather than stationary mode.

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“…This result is the same with the result of Nield and Kuznetsov. 36 From equations (50) and (51), when pulsating throughflow is equal to one, i.e. [ ¼ 1, the value of critical Rayleigh number is 40:4784.…”

Section: Stationary Mode Of Convectionmentioning

confidence: 99%

“…Equation 52coincides with that of Kiran et al 50 To analysis the effect of the magnetic field Q, the pulsating throughflow [, the Hele-Shaw number H S and nanoparticle parameters R N , N A and L e on the onset of stationary convection, we investigate analytically the behavior of @…”

Section: Stationary Mode Of Convectionmentioning

confidence: 99%

The effect of pulsating throughflow on the onset of magneto convection in a layer of nanofluid confined within a Hele-Shaw cell

Yadav

2019

Proceedings of the Institution of Mechanical Engineers, Part E:

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In this article, the joint effect of pulsating throughflow and magnetic field on the onset of convective instability in a nanofluid layer, bounded in a Hele-Shaw cell is presented within the context of linear stability theory and frozen profile approach. The model utilized for nanofluid combines the impacts of Brownian motion and thermophoresis, while for Hele-Shaw cell, Hele-Shaw model is considered. The Galerkin technique is utilized to solve the eigenvalue problem. The outcome of the important parameters on the stability framework is examined analytically. It is observed that the pulsating throughflow and magnetic field have both stabilizing effects. The impact of increasing the Hele-Shaw number [Formula: see text], the modified diffusive ratio [Formula: see text] and the nanoparticle Rayleigh number [Formula: see text] is to quicken the convective motion, while the Lewis number [Formula: see text] has dual impact on the stability framework in the existence of pulsating throughflow. It is also established that the oscillatory mode of convective motion is possible only when the value of the magnetic Prandtl number [Formula: see text] is not greater than unity.

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Oscillatory magneto-convection under magnetic field modulation

Cited by 29 publications

References 34 publications

The Effect of Modulation on Heat Transport by a Weakly Nonlinear Thermal Instability in the Presence of Applied Magnetic Field and Internal Heating

The Effect of Modulation on Heat Transport by a Weakly Nonlinear Thermal Instability in the Presence of Applied Magnetic Field and Internal Heating

The Complex Ginzburg Landau Model for an Oscillatory Convection in a Rotating Fluid Layer

The effect of pulsating throughflow on the onset of magneto convection in a layer of nanofluid confined within a Hele-Shaw cell

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