An analytical study of linear and non-linear double diffusive convection with Soret effect in couple stress liquids

Malashetty, M. S.; Gaikwad, S. N.; Swamy, Mahantesh

doi:10.1016/j.ijthermalsci.2005.12.005

Cited by 69 publications

(37 citation statements)

References 23 publications

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“…which gives the result of Malashetty et al [20]. Further when R S = 0 and absence of Soret effect, Eq.…”

Section: Stability Analysissupporting

confidence: 75%

“…Bourich et al [19] have given an excellent review of literature on the Soret effect convection either in fluid or porous media. Malashetty et al [20] investigated double diffusive convection in a two-component couple stress liquid layer with Soret effect using both linear and non-linear stability analyses. Recently Srivastava et al [21] investigated an electrically conducting two component Boussinesq fluid-saturated-porous medium in the presence of Soret coefficient.…”

Section: Introductionmentioning

confidence: 99%

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Soret-driven double diffusive magneto-convection in couple stress liquid

Srivastava

Bhadauria

Мишра

2012

MATEC Web of Conferences

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Abstract. The stability analysis of Soret driven double diffusive convection for electrically conducting couple stress liquid is investigated theoretically. The couple stress liquid is confined between two horizontal surfaces and a constant vertical magnetic field is applied across the surfaces. Linear stability analysis is used to investigate the effect of various parameters on the onset of convection. Effect of magnetic field on the onset of convection is presented by means of Chandrasekhar number. The problem is analyzed as a function of Chandrasekhar number (Q), positive and negative Soret parameter (S r) and couple stress parameter (C), mainly. The results show that the Q, both positive and negative S r and C delay the onset of convection. The effect of other parameters is also discussed in paper and shown by graphs.

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“…which gives the result of Malashetty et al [20]. Further when R S = 0 and absence of Soret effect, Eq.…”

Section: Stability Analysissupporting

confidence: 75%

Section: Introductionmentioning

confidence: 99%

Soret-driven double diffusive magneto-convection in couple stress liquid

Srivastava

Bhadauria

Мишра

2012

MATEC Web of Conferences

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“…Majority of the investigations are concerned with buoyancy driven convection in a horizontal couple stress fluid layer [26][27][28][29][30] . Recently, Shivakumara et al [31] presented the effect of velocity and temperature boundary conditions on electrothermal convection in a rotating dielectric fluid layer considering the variation in the dielectric constant with the nonhomogeneous temperature gradient in the bulk flow.…”

Section: Introductionmentioning

confidence: 99%

Stability of natural convection in a vertical dielectric couple stress fluid layer in the presence of a horizontal AC electric field

Shankar

Kumar

Shivakumara

2016

Applied Mathematical Modelling

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a b s t r a c tThe combined effect of couple stresses and a uniform horizontal AC electric field on the stability of buoyancy-driven parallel shear flow of a vertical dielectric fluid between vertical surfaces maintained at constant but different temperatures is investigated. Applying linear stability theory, stability equations are derived and solved numerically using the Galerkin method with wave speed as the eigenvalue. The critical Grashof number G c , the critical wave number a c and the critical wave speed c c are computed for wide ranges of couple stress parameter c , AC electric Rayleigh number R ea and the Prandtl number Pr . Based on these parameters, the stability characteristics of the system are discussed in detail. The value of Prandtl number at which the transition from stationary to travelling-wave mode takes place is found to be independent of AC electric Rayleigh number even in the presence of couple stresses but increases significantly with increasing c . Moreover, the effect of increasing R ea is to instill instability, while the couple stress parameter shows destabilizing effect in the stationary mode but it exhibits a dual behavior if the instability is via travelling-wave mode. The streamlines and isotherms presented demonstrate the development of complex dynamics at the critical state.

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“…Sunil et al [21] studied the effect of suspended particles on double diffusive convection in a couple stress fluid saturated porous medium, Sharma and Sharma [22] investigated the effect of suspended particles on couple-stress fluid, heated from below, in the presence of rotation and magnetic field. Malashetty et al [23] did an analytical study of linear and nonlinear double diffusive convection with Soret effect in couple stress liquids. Shivakumara [24] studied the effect of nonuniform temperature gradient on the onset of convection in a couple stress fluid saturated porous medium.…”

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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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An analytical study of linear and non-linear double diffusive convection with Soret effect in couple stress liquids

Cited by 69 publications

References 23 publications

Soret-driven double diffusive magneto-convection in couple stress liquid

Soret-driven double diffusive magneto-convection in couple stress liquid

Stability of natural convection in a vertical dielectric couple stress fluid layer in the presence of a horizontal AC electric field

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

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