Effect of internal heat source on magneto-stationary convection of couple stress fluid under magnetic field modulation

In this paper, the effect of internal heat source and Soret effect has been investigated on double diffusive convection in a rotating anisotropic porous medium saturated with a couple stress fluids, heated and salted from below. Linear stability analysis has been performed by using Normal mode technique and for nonlinear analysis, minimal representation of Fourier series up to two terms has been considered. The modified Darcy model, which includes the time derivative term and Coriolis term, has been employed in the momentum equation. The effect of Taylor number, couple stress parameter, solute Rayleigh number, internal heat source parameter, Lewis number, Darcy-Prandtl number, thermal and mechanical anisotropy parameter on the stationary and oscillatory modes of convection has been obtained and shown graphically, Also the heat and mass transports are obtained in terms of the Nusselt number and Sherwood number respectively, and shown graphically.

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Thermosolutal Convection in a Couple-Stress Fluid in Uniform Vertical Magnetic Field

Zeitschrift für Naturforschung A ◽

10.5560/zna.2012-0020 ◽

2012 ◽

Vol 67 (5) ◽

pp. 275-281

Author(s):

Mahinder Singh ◽

Pardeep Kumar

Keyword(s):

Magnetic Field ◽

Couple Stress ◽

Thermosolutal Convection ◽

Couple Stress Fluid ◽

Vertical Magnetic Field ◽

Stationary Convection ◽

Gradient Magnetic Field ◽

Electrically Conducting ◽

Stabilizing Effect ◽

Solute Gradient

The effect of a uniform vertical magnetic field on thermosolutal convection in a layer of an electrically conducting couple-stress fluid heated and soluted from below is considered. For the case of stationary convection, the stable solute gradient, magnetic field, and couple-stress parameter have stabilizing effect on the system. It is also observed that a stable solute gradient and a magnetic field introduce oscillatory modes in the system, but in the absence of a stable solute gradient and a magnetic field, oscillatory modes are not allowed and the principle of exchange of stabilities is valid.

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Influence of the rotation on a generalized magneto-thermoelastic medium for three-phase-lag model

Multidiscipline Modeling in Materials and Structures ◽

10.1108/mmms-01-2015-0001 ◽

2015 ◽

Vol 11 (2) ◽

pp. 297-318 ◽

Cited By ~ 4

Author(s):

Samia M Said

Keyword(s):

Magnetic Field ◽

Heat Source ◽

Internal Heat ◽

Internal Heat Source ◽

Thermoelastic Problem ◽

Phase Lag ◽

Content Type ◽

Three Phase ◽

Lag Model ◽

Generalized Thermoelastic

Purpose – The purpose of this paper is to investigate the effect of rotation and a magnetic field on the wave propagation in a generalized thermoelastic problem for a medium with an internal heat source that is moving with a constant speed. Design/methodology/approach – The formulation is applied to a generalized thermoelastic problem based on the three-phase-lag model and Green-Naghdi theory without energy dissipation. The medium is a homogeneous isotropic thermoelastic in the half-space. Findings – The exact expressions of the displacement components, temperature, and stress components are obtained by using normal mode analysis. Originality/value – Comparisons are made with the results predicted by the two models in the absence and presence of a magnetic field as well as a rotation. A comparison also is made with the results predicted by the two models for two different values of an internal heat source.

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Effect of gravity, magnetic field and internal heat source on a fiber-reinforced medium with two temperatures

Indian Journal of Physics ◽

10.1007/s12648-019-01402-0 ◽

2019 ◽

Vol 93 (11) ◽

pp. 1453-1464

Author(s):

Samia M. Said ◽

Mohamed I. A. Othman

Keyword(s):

Magnetic Field ◽

Heat Source ◽

Internal Heat ◽

Internal Heat Source ◽

Fiber Reinforced ◽

Two Temperatures

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