Abstract
Two-dimensional, double diffusion, natural convection in a partially porous cavity satured with a binary fluid is investigated numerically. Multiple motions are driven by the external temperature and concentration differences imposed across vertical walls. The wavy interface between fluid and porous layer is horizontal. The equations which describe the fluid flow and heat and mass transfer are described by the Navier-Stokes equations (fluid region), Darcy-Brinkman equation (porous region) and energy and mass equations. The finite element method was applied to solve the governing equations. The fluid flow and heat and mass transfer has been investigated for different values of the amplitude and the wave number of the interface and the buoyancy ratio. The results obtained in the form of isotherms, stream lines, isoconcentrations and the Nusselt and Sherwood numbers; show that the wavy interface has a significant effect on the flow and heat and mass transfer.
Highlights
Double-diffusive natural convection in enclosures has been encountered in many engineering fields, such as oceanography, astrophysics, geology, biology, and chemical processes etc
The fluid flow and heat and mass transfer has been investigated for different values of the amplitude and the wave number of the interface and the buoyancy ratio
The results obtained in the form of isotherms, stream lines, isoconcentrations and the Nusselt and Sherwood numbers; show that the wavy interface has a significant effect on the flow and heat and mass transfer
Summary
Double-diffusive natural convection in enclosures has been encountered in many engineering fields, such as oceanography, astrophysics, geology, biology, and chemical processes etc. The combined heat and mass transfer rates for natural convection driven by the temperature and concentration gradients have been developed in a partially porous cavity by Singh et al [35] and they showed that the degree of penetration of the fluid into porous region strongly depended upon the Darcy, thermal and solutal Rayleigh numbers. The convective flows due to double-diffusion in a partially porous cavity saturated by a binary fluid have many applications, such as, soil pollution, thermal insulation, grain storage, dispersion of chemical contaminations through water saturated soil, storage of nuclear waste, fuel cells, heat removal from nuclear fuel debris in nuclear reactors, thermal energy storage system, solar collectors with a porous absorber Another interesting application can be found in the accurate modeling of the boundary conditions at a fluid porous interface. The results obtained in the form of isotherms, stream lines, isoconcentrations and the Nusselt and Sherwood numbers; show that the wavy interface has a significant effect on the flow and heat and mass transfer
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