Double-diffusive natural convection in inclined porous cavities with various aspect ratios and temperature-dependent heat source or sink

Chamkha, Ali J.; Al-Mudhaf, Ali F.

doi:10.1007/s00231-007-0299-7

Cited by 44 publications

(25 citation statements)

References 20 publications

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“…There is a good agreement was found between (61 × 61) and (81 × 81) grids, so the numerical computations were carried out for (61 × 61) and (81 × 81) grid nodal points with a time step of 10 −4 . This method was found to be suitable and gave results that are very close to the numerical results obtained by Chamkha and Al-Mudhaf (2008). Table 1 shows an excellent agreement between the present results and the results obtained by Chamkha and Al-Mudhaf (2008).…”

Section: Methodssupporting

confidence: 90%

“…This method was found to be suitable and gave results that are very close to the numerical results obtained by Chamkha and Al-Mudhaf (2008). Table 1 shows an excellent agreement between the present results and the results obtained by Chamkha and Al-Mudhaf (2008). This favorable comparison lends confidence in the numerical results to be reported subsequently.…”

Section: Methodssupporting

confidence: 88%

“…It is also found that the local Nusselt number decreases on the bottom wall as the angle of inclination to the horizontal of applied magnetic field increases. The problem of double-diffusive natural convection in inclined porous cavities with various aspect ratios and temperature-dependent heat source or sink was studied by Chamkha and Al-Mudhaf (2008). It was found that the heat and mass transfer and the flow characteristics inside the enclosure depended strongly on the buoyancy ratio, cavity inclination angle and the heat generation or absorption effects.…”

Section: Introductionmentioning

confidence: 99%

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Unsteady Natural Convection, Heat and Mass Transfer in Inclined Triangular Porous Enclosures in the Presence of Heat Source or Sink: Effect of Sinusoidal Variation of Boundary Conditions

et al. 2011

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The problem of double-diffusive convection in inclined triangular porous enclosures with sinusoidal variation of boundary conditions in the presence of heat source or sink was discussed numerically. The dimensionless governing equations of the problem were solved numerically by using finite difference method. The effects of governing parameters, namely, the dimensionless time parameter, various values of the inclination angle, Darcy number, the heat generation/absorption parameter, the buoyancy parameter and the amplitude wave length ratio on the streamlines, temperature and concentration contours as well as the velocity component in the x-direction at the triangle mid-section, the average Nusselt and Sherwood numbers at the bottom wall of the triangle for various values of aspect ratio were considered. The present results are validated by favorable comparisons with previously published results. All the results of the problem were presented in graphical and tabular forms and discussed. List of Symbols a Dimensional amplitude of sinusoidal change (m)A Amplitude wave length ratio (a/H )

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Section: Methodssupporting

confidence: 90%

Section: Methodssupporting

confidence: 88%

Section: Introductionmentioning

confidence: 99%

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Unsteady Natural Convection, Heat and Mass Transfer in Inclined Triangular Porous Enclosures in the Presence of Heat Source or Sink: Effect of Sinusoidal Variation of Boundary Conditions

et al. 2011

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“…The simultaneous presence of concentration gradients and thermal differences in an enclosure could result in opposing or aided convective flows that in most case are very complicated in nature. The natural convective heat transfer of double-diffusive fluids inside porous media has been studied in many of previous publications, for example the study of Costa (2004), Varol et al (2008), Chamkha and Al-Mudhaf (2008), Mahdy et al (2010), Chamkha et al (2010Chamkha et al ( , 2011, Subhashini et al (2011), Abdou and Chamkha (2012), Ravikumar et al (2013) and Mallikarjuna et al (2014). However, there are engineering applications in which the fluid consists of three phases with distinct densities and mass diffusive coefficients, for example the migration of moisture and natural gas through the air in soil or grains.…”

Section: Introductionmentioning

confidence: 97%

Triple-Diffusive Natural Convection in a Square Porous Cavity

et al. 2015

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The triple-diffusive flow, heat and mass transfer in a cavity filled with a porous medium and saturated with a mixture is theoretically studied in a cavity with differential temperature and concentrations at the side walls. The effect of buoyancy forces due to mass transfer of phases is also taken into account using the Boussinesq approximation. The governing equations are transformed into a non-dimensional form and numerically solved using the finite element method. Five groups of non-dimensional parameters including the Rayleigh number, the Lewis numbers for phases 1 and 2, and the buoyancy ratio parameters for phases 1 and 2 are obtained. The effect of each group of non-dimensional parameters on the heat and mass transfer in the cavity is discussed. The results show that for specific values of the Lewis number of one phase, the heat transfer of the mixture and the mass transfer of the other phase can be maximum. The presence of one phase could reduce or enhance the mass transfer of the second phase depending on the Lewis number of phases.

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“…Khadiri et al (2010) [13] presented a numerical study of the Soret effect on double diffusive convection in a square cavity filled with a saturated Darcy porous medium. Chamkha and Al-Mudhaf (2008) [9] investigated the double-diffusive free convection in inclined porous cavities with the effects of temperature-dependent heat source/sink. A Darcy model of double diffusive convection in a tilted slot filled with porous medium was investigated by Mamou et al (1995) [16].…”

Section: Introductionmentioning

confidence: 99%

Soret and Dufour effects on free convective heat and solute transfer in fluid saturated inclined porous cavity

Balla

Kishan

2015

Engineering Science and Technology, an International Journal

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a b s t r a c tThe present problem addresses double diffusive free convection in an inclined square cavity filled with fluid saturated porous medium under the influence of Soret and Dufour effects. The inclined cavity makes an angle with the horizontal plane. At the two horizontal walls of the cavity the heat and solute transverse gradients are applied and lateral walls of the cavity are being regarded insulated and impermeable. Using the appropriate dimensionless quantities, the governing equations with boundary conditions are transformed to non-dimensional form. The governing partial differential equations are solved by Finite element method of Galerkin weighted residual scheme. Numerical results are obtained for different values of the Rayleigh number, Lewis number, buoyancy ratio, Soret Number and Dufour number. The overall investigation of variation of streamlines, isotherms, iso-concentration, Nusselt number and Sherwood numbers are presented graphically. To examine the accuracy, the present results are compared with the available results.

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Double-diffusive natural convection in inclined porous cavities with various aspect ratios and temperature-dependent heat source or sink

Cited by 44 publications

References 20 publications

Unsteady Natural Convection, Heat and Mass Transfer in Inclined Triangular Porous Enclosures in the Presence of Heat Source or Sink: Effect of Sinusoidal Variation of Boundary Conditions

Unsteady Natural Convection, Heat and Mass Transfer in Inclined Triangular Porous Enclosures in the Presence of Heat Source or Sink: Effect of Sinusoidal Variation of Boundary Conditions

Triple-Diffusive Natural Convection in a Square Porous Cavity

Soret and Dufour effects on free convective heat and solute transfer in fluid saturated inclined porous cavity

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