Double-diffusive natural convection in an anisotropic porous cavity with opposing buoyancy forces: multi-solutions and oscillations

Bera, P.; Khalili, Arzhang

doi:10.1016/s0017-9310(02)00024-8

Cited by 49 publications

(26 citation statements)

References 20 publications

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“…Various authors have theoretically and numerically studied the double-diffusive convection in a fluid-saturated porous enclosure due to the opposing heat and mass fluxes on vertical walls [5][6][7][8][9][10][11][12]. In these studies, the numerical calculations yielded oscillatory solutions [9,10]. In the former paper [9], we performed calculations only when the aspect ratio was 5.…”

Section: Introductionmentioning

confidence: 99%

Numerical analysis of double-diffusive convection in a porous enclosure due to opposing heat and mass fluxes on the vertical walls – Why does peculiar oscillation occur?

Masuda

Yoneya

Suzuki

et al. 2008

International Journal of Heat and Mass Transfer

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Peculiar oscillating convection is observed when two-dimensional double-diffusive convection in porous medium is analyzed numerically. The top and bottom walls of an enclosure are insulated, and constant and opposing heat and mass fluxes are prescribed on the vertical walls. The peculiar oscillations are of three types: (1) Chaotic oscillations wherein the main flow is due to temperature; however, the convection due to concentration is strong enough to generate this peculiar oscillation. (2) The 'sudden steady state case' caused by the shifts from thermally-driven to concentration-driven forces. (3) The 're-oscillation case' caused by the convection pattern changes from centrosymmetric to non-centrosymmetric.

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Section: Introductionmentioning

confidence: 99%

Numerical analysis of double-diffusive convection in a porous enclosure due to opposing heat and mass fluxes on the vertical walls – Why does peculiar oscillation occur?

Masuda

Yoneya

Suzuki

et al. 2008

International Journal of Heat and Mass Transfer

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“…We also obtained analytical solutions to account for the case where Le > 1 and found that two types of analytical solutions exist when the buoyancy ratio N is less than 1 (2)(3) . Bera et al (4) also found that two types of analytical solutions exist in an anisotropic porous enclosure. From the point of view of numerical results, multiple solutions have been reported frequently in this system (2)- (5) .…”

Section: Introductionmentioning

confidence: 98%

Multiple Solutions of Double-Diffusive Convection in Porous Media due to Opposing Heat and Mass Fluxes on Vertical Walls

Masuda

Yoneya

2013

JTST

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The double-diffusive convection in a porous medium due to the opposing heat and mass fluxes on the vertical walls is solved analytically. In the former analysis, we investigated only when  < , the parameter arising from a combination among the density stratification and the buoyancy effects. However, it is shown in the present research that a solution is also possible when  > . The Sherwood number Sh is shown to decrease monotonically with an increase in the buoyancy ratio N when  > , and Sh approaches 1 when N is 1. We define N min as the minimum value of N when  is imaginary and  = . N min increases with an increase in R c . However, N min approaches a constant as Le increases. Furthermore, although the convection pattern is mainly temperature-driven, concentration-driven convection cells also exist under certain.

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“…A very good collection of references on the topic on the effects of anisotropy on convective flow through porous media can be found in the review paper by Storesletten [9]. Further, Degan et al [15], Zhang et al [16], Bera et al [17], Bera and Khalili [18], and Kumar and Bera [19] have studied the convective heat transfer in a vertical anisotropic porous layer and in a cavity filled with an anisotropic porous medium. Bera et al [17], and Bera and Khalili [18] obtained both an analytical and numerical investigation of the double-diffusive natural convection in an anisotropic porous cavity with opposing buoyancy forces in order to understand the existence of multiple solutions and the occurrence of oscillatory convection as observed in the single component system.…”

Section: Introductionmentioning

confidence: 99%

“…Further, Degan et al [15], Zhang et al [16], Bera et al [17], Bera and Khalili [18], and Kumar and Bera [19] have studied the convective heat transfer in a vertical anisotropic porous layer and in a cavity filled with an anisotropic porous medium. Bera et al [17], and Bera and Khalili [18] obtained both an analytical and numerical investigation of the double-diffusive natural convection in an anisotropic porous cavity with opposing buoyancy forces in order to understand the existence of multiple solutions and the occurrence of oscillatory convection as observed in the single component system. Degan and Vasseur [20] reported an analytical study on the aiding fully developed mixed convection in parallel-plate vertical porous channels with an anisotropic permeability whose principal axes are oriented in a direction which is oblique to the gravity vector.…”

Section: Introductionmentioning

confidence: 99%

Forced convection heat transfer inside an anisotropic porous channel with oblique principal axes: Effect of viscous dissipation

Mobedi

Cekmer

Pop

2010

International Journal of Thermal Sciences

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a b s t r a c tAn analytical study on laminar and fully developed forced convection heat transfer in a parallel-plate horizontal channel filled with an anisotropic permeability porous medium is performed. The principal axis of the anisotropic porous medium is oriented from 0 to 90 degrees. A constant heat flux is applied on the outer wall of the channel. Both clear (Newtonian) fluid and Darcy viscous dissipations are considered in the energy equation. Directional permeability ratio parameter A * is defined to combine both the effect of the dimensionless permeability ratio parameter K * ¼(K 1 /K 2 ) and orientation angle 4 into one parameter.The effects of the parameter A * , the Darcy number Da and the modified Brinkman number Br * on the heat transfer and fluid flow characteristics in the channels are investigated and presented in graphs. The obtained results show that the parameters A * , Da and Br * have strong effects on the dimensionless normalized velocity and temperature profiles as well as on the Nusselt number. It is found that for a particular value of A * , called as critical value A cr * , the external heat applied to the surface of the channel is balanced by the internal heat generation due to viscous dissipation and the bulk mean temperature approaches the wall temperature. Hence, the Nusselt number approaches infinity for the critical values A cr * .

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Double-diffusive natural convection in an anisotropic porous cavity with opposing buoyancy forces: multi-solutions and oscillations

Cited by 49 publications

References 20 publications

Numerical analysis of double-diffusive convection in a porous enclosure due to opposing heat and mass fluxes on the vertical walls – Why does peculiar oscillation occur?

Numerical analysis of double-diffusive convection in a porous enclosure due to opposing heat and mass fluxes on the vertical walls – Why does peculiar oscillation occur?

Multiple Solutions of Double-Diffusive Convection in Porous Media due to Opposing Heat and Mass Fluxes on Vertical Walls

Forced convection heat transfer inside an anisotropic porous channel with oblique principal axes: Effect of viscous dissipation

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