Compressible Coupled Natural Convection and Volumetric Radiation in a Square Cavity

Hamimid, Saber; Rachedi, Nessrine; Guellal, Messaoud; Bouafia, Madiha

doi:10.2514/1.t5333

Cited by 3 publications

(1 citation statement)

References 25 publications

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“…The Low Mach Number approximation (Ma( 1) suggested by Paolucci 24 was developed in our previous works for natural convection; natural convection coupled with surface radiation and combined natural convection-volumetric radiation. [25][26][27][28] This approach is used in this study to solve the momentum, heat, and solute equations, which lead to take into account fluid flows under large temperature/concentration gradients and variable transport coefficients.…”

Section: Introductionmentioning

confidence: 99%

Limit of the buoyancy ratio in Boussinesq approximation for double-diffusive convection in binary mixture

2021

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This paper deals with a mathematical and numerical investigation of double-diffusive natural convective heat and mass transfer in a cavity filled with Newtonian fluid with significant density and mass diffusivity changes. In such a situation, the assumption of the Boussinesq approximation is not justified, and an appropriate model based on a set of Low Mach Number equations is used. The active parts of two vertical walls of the cavity are maintained at fixed but different temperatures and concentrations, while the other two walls, as well as inactive areas of the sidewalls, are considered to be adiabatic and impermeable to mass transfer. The coupled momentum, energy, and solute transfer equations in binary mixtures of ideal gases are solved through a global iterative procedure based on the finite volume methods in the context of the low Mach number approximation. The study includes the effect of the buoyancy ratio N with the aim to find its application limit in the Boussinesq conditions. The results show that if we use the Boussinesq approximation to study double-diffusive convection, the value of parameter N must be between À6 and 27.M Ã þC10ð1ÀM Ã Þ kinematic viscosity, m 2 =s P ¼ðp À p þ q 0 gyÞ=q 0 ða 0 =HÞ 2 dimensionless dynamic pressure

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Section: Introductionmentioning

confidence: 99%

Limit of the buoyancy ratio in Boussinesq approximation for double-diffusive convection in binary mixture

2021

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Effect of molecular weight ratio on diffusion of light gases into air

2021

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We propose a numerical study on the effect of density of light gases on the behavior of a gas mixture (gas–air) in confined spaces and subjected to gradients of temperature and concentration. The diffusion of light gases requires the use of an appropriate model called low Mach number instead of the Boussinesq approximation which is not valid in such a situation. To solve the coupled momentum, energy, and concentration equations, an iterative methodology based on finite volume method using the low Mach number approximation was required. Representative results illustrating the effects of molecular weight ratio on the thermophysical and thermodynamic properties are reported. The average thermal and mass transfer rates on the active wall are presented and discussed. The results show that the hydrogen–air diffusion exhibits a particular behavior toward the compressibility of the binary mixtures. It is also found that the Boussinesq model is not sufficient to simulate diffusion of very light gases into air.

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Comment on “Compressible Coupled Natural Convection and Volumetric Radiation in a Square Cavity”

Awad

2020

Journal of Thermophysics and Heat Transfer

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Compressible Coupled Natural Convection and Volumetric Radiation in a Square Cavity

Cited by 3 publications

References 25 publications

Limit of the buoyancy ratio in Boussinesq approximation for double-diffusive convection in binary mixture

Limit of the buoyancy ratio in Boussinesq approximation for double-diffusive convection in binary mixture

Effect of molecular weight ratio on diffusion of light gases into air

Comment on “Compressible Coupled Natural Convection and Volumetric Radiation in a Square Cavity”

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