Double diffusive natural convection in power-law fluid saturated porous medium with Soret and Dufour Effects

Srinivasacharya, D.; Reddy, G. Swamy

doi:10.1590/s1678-58782012000400014

Cited by 15 publications

(8 citation statements)

References 19 publications

(13 reference statements)

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“…The [24,26], and 10 −2 ≤ Le ≤ 1 (Lewis number) [27,28], [29]. We choose the values of Dufour parameter and Lewis number Le in such a way that Le ̸ = 1.…”

Section: Resultsmentioning

confidence: 99%

Double Diffusive Convection in a Layer of Maxwell Viscoelastic Fluid in Porous Medium in the Presence of Soret and Dufour Effects

Chand

Rana

2014

Journal of Fluids

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Double diffusive convection in a horizontal layer of Maxwell viscoelastic fluid in a porous medium in the presence of temperature gradient (Soret effects) and concentration gradient (Dufour effects) is investigated. For the porous medium Darcy model is considered. A linear stability analysis based upon normal mode technique is used to study the onset of instabilities of the Maxwell viscolastic fluid layer confined between two free-free boundaries. Rayleigh number on the onset of stationary and oscillatory convection has been derived and graphs have been plotted to study the effects of the Dufour parameter, Soret parameter, Lewis number, and solutal Rayleigh number on stationary convection.

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“…The [24,26], and 10 −2 ≤ Le ≤ 1 (Lewis number) [27,28], [29]. We choose the values of Dufour parameter and Lewis number Le in such a way that Le ̸ = 1.…”

Section: Resultsmentioning

confidence: 99%

Double Diffusive Convection in a Layer of Maxwell Viscoelastic Fluid in Porous Medium in the Presence of Soret and Dufour Effects

Chand

Rana

2014

Journal of Fluids

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“…The effect of Soret and Dufour parameters on free convection heat and mass transfers from a vertical surface in a doubly stratified Darcian porous medium has been reported by Lakshmi Narayana and Murthy [8]. Srinivasacharya and Swamy [9] studied numerically the effects of double-diffusive natural convection heat and mass transfer along a vertical plate embedded in a power-law fluid-saturated porous medium with Soret and Dufour effects. Recently, the Soret and Dufour effects on mixed convection flow due to an exponentially stretching surface in a quiescent fluid-saturated non-Darcy porous medium have been reported by Srinivasacharya and RamReddy [10].…”

Section: Introductionmentioning

confidence: 94%

Mixed Convection Effect on Melting from a Vertical Plate Embedded in Porous Medium with Soret and Dufour Effects

Jha

Mohammed

2013

Heat Trans. Asian Res.

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The present work analyzed the impact of mixed convection on melting from a vertical flat plate embedded in porous medium in the presence of Dufour and Soret effects. The partial differential equations governing the problem under consideration have been transformed by a similarity transformation into a system of ordinary differential equation which is solved numerically by Runge-Kutta-Gill methods. Dimensionless velocity, temperature, and concentration profiles are presented graphically for various values of the Dufour number (Df), Soret number (Sr), melting parameter (M), and buoyancy parameter (Gr/Re). During the investigation, it was found that the melting phenomenon decreases the local Nusselt number and local Sherwood number at the solid-liquid interface. Also, it is interesting to note that the velocity as well as temperature increases while the concentration decreases with an increase in the Dufour number Df (or simultaneous decrease in the Soret number Sr).

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“…Beside this, Chen and Liu [6] dealed with heated cylinder submerged in a salt-stratified fluid and Kalla et al, [7] considered the case of shallow porous cavity with vertical fluxes of heat and mass in their study. Double diffusive convection in Newtonian fluid [8][9][10][11] and various types of non-Newtonian fluid [12][13][14][15][16][17][18][19][20][21][22] are reported with different conditions. These types of non-Newtonian include viscoelastic [12,17], power-law fluid [13,19], nanofluid [14,20], viscoelastic nanofluid [15], Maxwell fluid [16] and Casson fluid [18,[21][22].…”

Section: Introductionmentioning

confidence: 99%

“…Mass transfer induced by temperature differences is known as Soret effect, whereas Dufour effect refers to the heat transfer caused by concentration gradient in the fluid. The research works that include the impacts of Soret-Dufour parameters were reported by the following references [8][9][10][11][12][13]17]. Besides, magnetohydrodynamics related to the occurrence of magnetic properties on electrically conducting fluids.…”

Section: Introductionmentioning

confidence: 99%

The Magnetohydrodynamics Casson Fluid Flow, Heat and Mass Transfer Due to the Presence of Assisting Flow and Buoyancy Ratio Parameters

Parvin¹,

Isa²,

Arifin³

et al. 2020

CFDL

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The assisting boundary layer flow, heat and mass transfer have wide applications in engineering devices and in nature: for example, nuclear reactors, heat exchangers, solar receivers, atmospheric flow and lake circulation. Therefore, the numerical study of boundary layer flow, heat and mass transfer on Newtonian or non-Newtonian fluid has to be developed, as a reference to experimental works. Therefore, the mathematical modelling and numerical solutions of boundary layer flow, heat and mass transfer on magneto-hydrodynamics Casson fluid are reported in this paper. The model problem is subjected to the presence of mixed convection with assisting flow, together with the buoyant feature. The Casson fluid is assumed to flow over an exponentially stretching sheet, together with the exponential variations of fluid temperature and fluid concentration. The momentum, energy and concentration equations are formed as the controlling equations and written as partial differential equations (PDE). Subsequently, these equations were transformed into the ordinary differential equations (ODE) by using the similarity transformation. Finally, the ODE are solved numerically by bvp4c program in MATLAB software. The graphs of velocity, temperature and concentration profiles and the numerical values of skin friction coefficient, local Nusselt number and local Sherwood number are presented. These results are obtained due to the controlling parameter, namely as magnetic field, assisting flow and buoyancy ratio parameters. As a result, the increment and decrement of the velocity, temperature, concentration, skin friction coefficient, local Nusselt number and local Sherwood number are influenced by magnetic field, assisting flow and buoyancy ratio parameters.

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Double diffusive natural convection in power-law fluid saturated porous medium with Soret and Dufour Effects

Cited by 15 publications

References 19 publications

Double Diffusive Convection in a Layer of Maxwell Viscoelastic Fluid in Porous Medium in the Presence of Soret and Dufour Effects

Double Diffusive Convection in a Layer of Maxwell Viscoelastic Fluid in Porous Medium in the Presence of Soret and Dufour Effects

Mixed Convection Effect on Melting from a Vertical Plate Embedded in Porous Medium with Soret and Dufour Effects

The Magnetohydrodynamics Casson Fluid Flow, Heat and Mass Transfer Due to the Presence of Assisting Flow and Buoyancy Ratio Parameters

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