Soret and Dufour effects on unsteady double diffusive natural convection in porous trapezoidal enclosures

Al-Mudhaf, Ali F.; Rashad, A. M.; Ahmed, Sameh E.; Chamkha, Ali J.; El-Kabeir, S. M. M.

doi:10.1016/j.ijmecsci.2018.02.049

Cited by 67 publications

(31 citation statements)

References 22 publications

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“…Similarly, the effects of Dufour and Soret were reported on different papers by (EI-Kabeir et al [14], Chamkha and Rashad [15], Rashad and Chamkha [16], EL-Kabeir et al [17] and Al-Mudhaf et al [18]. It was found that an enhancement in the Dufour number produced a reduction in the local Nusselt number but boosts the local Sherwood number.…”

Section: Introductionmentioning

confidence: 67%

“…The coupled six harmonized high order ordinary differential equations (13)- (18), subjected to the boundary conditions, equation (19), are explained numerically using the function bvp4c from matlab software for different values of physical parameters, namely slip parameters (A, B, D, H), Prandtl number Pr, Dufour number Df, Soret number Sr, Brownian motion parameter Nb, thermophoresis parameter Nt, Schmidt number Sc, stretching ratio parameter λ, material parameter β and micro rotation parameter n. Numerical results are found using Matlab BVP solver bvp4c from matlab which is a finite difference code that applies the three-stage Lobatto IIIa formula. To apply bvp4c from matlab: equations (13)-(18) are converted into a system of first-order equations.…”

Section: Numerical Solutionmentioning

confidence: 99%

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Numerical solution of micropolar nanofluids with Soret, Dufor effects and multiple slip conditions

Ibrahim

Zemedu

2020

J. Phys. Commun.

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The objective of this study is to explore the effects of Dufour and Soret with multiple slip conditions on 3D boundary layer flow of a micropolar nanofluid. The mathematical modeling for the flow problem has been created. Using appropriate similarity transformation and non-dimensional variable, the governing non-linear boundary value problem is reduced to a coupled high order non-linear ordinary differential equations which is numerically solved. The solutions were using method bvp4c from matlab software for different quantities of governing parameters. The influences of different parameters on skin friction coefficients (s 0 as well as the velocities, temperature, and concentration are examined and discussed through tables and graphs. The finding results indicate the skin friction coefficients, wall duo stresses coefficients (along both x-and y-axes), the Nusselt number and the Sherwood number demonstrate decreasing behavior for an increase in slip parameters but the opposite effects are detected with the values of stretching ratio parameters. A comparison with previous studies available in the literature has been done and a very good agreement is obtained.Nomenclature

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Section: Introductionmentioning

confidence: 67%

Section: Numerical Solutionmentioning

confidence: 99%

Numerical solution of micropolar nanofluids with Soret, Dufor effects and multiple slip conditions

Ibrahim

Zemedu

2020

J. Phys. Commun.

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“…Balla and Naikoti [28] analyzed numerically double-diffusive free convection heat and solute transfer in an inclined square porous cavity saturated with a fluid in the presence of Soret and Dufour effects. Both these effects were considered by Al-Mudhaf et al [29] who studied numerically unsteady double-diffusive natural convection inside trapezoidal inclined enclosures filled with an isotropic porous medium and submitted from one side to nonconstant distributions of temperature and concentration. Double-diffusive natural convection of non-Newtonian power-law fluids in an open cavity subjected to a horizontal magnetic field in the presence of Soret and Dufour effects was analyzed by Kefayati [30,31].…”

Section: Introductionmentioning

confidence: 99%

Analytical and Numerical Study of Soret and Dufour Effects on Thermosolutal Convection in a Horizontal Brinkman Porous Layer with a Stress-Free Upper Boundary

Filahi

Bourich

Hasnaoui

et al. 2020

Mathematical Problems in Engineering

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In this paper, thermo-diffusion (Soret effect) and diffusion-thermo (Dufour effect) effects on double-diffusive natural convection induced in a horizontal Brinkman porous layer with a stress-free upper boundary are investigated. The cavity is filled with a binary fluid and subjected to uniform fluxes of heat and mass on its long sides. An analytical solution based on the parallel flow approximation is developed for the problem considered in order to allow prompt determination of the thresholds of stationary and finite amplitude solutions and also heat and mass transfer characteristics. The analytical solution is validated numerically by using a finite difference method. The combined effects of the Soret and Dufour parameters, the thermal Rayleigh number, the buoyancy ratio, and the Darcy number on the flow intensity and heat and mass transfer are illustrated graphically, and some particular behaviors observed are discussed. The analytical solution proves the existence of different regions in the buoyancy ratio-Dufour parameter plane, corresponding to different parallel flow behaviors. The number, the location, and the extent of these regions, which are impossible to predict numerically, depend strongly on Soret and Dufour parameters. The effect of thermo-diffusion and diffusion-thermo on flow intensity and heat and mass transfer is found to be important.

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“…They studied the flow characteristics with various Prandtl number and Rayleigh number. Al-Mudhaf et al [24] used the finite difference method to discuss the double-diffusive natural convection within trapezoidal enclosures filled with porous medium. They explored the heat and mass transfer characteristics inside the enclosure with Soret and Dufour effects.…”

Section: Introductionmentioning

confidence: 99%

Simulation of Natural Convection Heat Transfer in a 2-D Trapezoidal Enclosure

Venkatadri¹,

Gaffar²,

Prasad

et al. 2019

IJAME

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Natural convection within trapezoidal enclosures finds significant practical applications. The natural convection flows play a prominent role in the transport of energy in energyrelated applications, in case of proper design of enclosures to achieve higher heat transfer rates. In the present study, a two-dimensional cavity with adiabatic right side wall is studied. The left side vertical wall is maintained at the constant hot temperature and the top slat wall is maintained at cold temperature. The dimensionless governing partial differential equations for vorticity-stream function are solved using the finite difference method with incremental time steps. The parametric study involves a wide range of Rayleigh number, Ra, 103 ≤ Ra ≤ 105 and Prandtl number (Pr = 0.025, 0.71 and 10). The fluid flow within the enclosure is formed with different shapes for different Pr values. The flow rate is increased by enhancing the Rayleigh number (Ra = 104 ). The numerical results are validated with previous results. The governing parameters in the present article, namely Rayleigh number and Prandtl number on flow patterns, isotherms as well as local Nusselt number are reported.

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Soret and Dufour effects on unsteady double diffusive natural convection in porous trapezoidal enclosures

Cited by 67 publications

References 22 publications

Numerical solution of micropolar nanofluids with Soret, Dufor effects and multiple slip conditions

Numerical solution of micropolar nanofluids with Soret, Dufor effects and multiple slip conditions

Analytical and Numerical Study of Soret and Dufour Effects on Thermosolutal Convection in a Horizontal Brinkman Porous Layer with a Stress-Free Upper Boundary

Simulation of Natural Convection Heat Transfer in a 2-D Trapezoidal Enclosure

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